Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (714 journals)            First | 1 2 3 4     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 6)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 5)
Journal of Mathematical Finance     Open Access   (Followers: 6)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 2)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 6)
Journal of Mathematics and Statistics Studies     Open Access  
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 1)
Journal of Mathematics Education at Teachers College     Open Access   (Followers: 4)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access  
Journal of Metallurgy     Open Access   (Followers: 8)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access   (Followers: 1)
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 15)
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 2)
Journal of Nonlinear Science     Hybrid Journal   (Followers: 1)
Journal of Numerical Cognition     Open Access   (Followers: 1)
Journal of Optimization     Open Access   (Followers: 5)
Journal of Peridynamics and Nonlocal Modeling     Hybrid Journal  
Journal of Progressive Research in Mathematics     Open Access   (Followers: 1)
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 3)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 19)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 2)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the Indian Mathematical Society     Hybrid Journal  
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Journal of the Nigerian Mathematical Society     Open Access  
Journal of Theoretical and Applied Physics     Open Access   (Followers: 9)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 10)
Journal of Turbulence     Hybrid Journal   (Followers: 7)
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 8)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 4)
JUMLAHKU : Jurnal Matematika Ilmiah STKIP Muhammadiyah Kuningan     Open Access  
JURING (Journal for Research in Mathematics Learning)     Open Access  
Jurnal Didactical Mathematics     Open Access   (Followers: 4)
Jurnal Matematika     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kontinu : Jurnal Penelitian Didaktik Matematika     Open Access  
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access  
Le Matematiche     Open Access  
Lettera Matematica     Hybrid Journal  
Lietuvos Matematikos Rinkinys     Open Access  
Limits : Journal of Mathematics and Its Applications     Open Access  
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 22)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 7)
Lithuanian Mathematical Journal     Hybrid Journal  
Lobachevskii Journal of Mathematics     Open Access  
Logic Journal of the IGPL     Hybrid Journal   (Followers: 1)
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal   (Followers: 1)
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 1)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Mathematica Scandinavica     Full-text available via subscription   (Followers: 1)
Mathematical Analysis and its Contemporary Applications     Open Access   (Followers: 1)
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 4)
Mathematical Journal of Interdisciplinary Sciences     Open Access   (Followers: 1)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 4)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling of Natural Phenomena     Open Access   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 1)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 2)
Mathematical Programming Computation     Hybrid Journal   (Followers: 2)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 6)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 4)
Mathematics and Statistics     Open Access   (Followers: 2)
Mathematics Education Forum Chitwan     Open Access   (Followers: 1)
Mathematics Education Journal     Open Access   (Followers: 4)
Mathematics Education Research Journal     Partially Free   (Followers: 16)
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 5)
Mathematics Teacher: Learning and Teaching PK-12     Full-text available via subscription   (Followers: 9)
Mathematics Teaching in the Middle School     Full-text available via subscription   (Followers: 8)
Mathematische Annalen     Hybrid Journal   (Followers: 2)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 2)
MATICS     Open Access  
Matrix Science Mathematic     Open Access   (Followers: 1)
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metaheuristics     Hybrid Journal  
Metals and Materials International     Hybrid Journal   (Followers: 1)
Metascience     Hybrid Journal   (Followers: 1)
Metrology and Instruments / Метрологія та прилади     Open Access  
Milan Journal of Mathematics     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal   (Followers: 1)
Modelling in Civil and Environmental Engineering     Open Access   (Followers: 4)
MONA : Matematik- og Naturfagsdidaktik     Hybrid Journal  
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access  
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 2)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 4)
Nagoya Mathematical Journal     Hybrid Journal   (Followers: 1)
Nano Research     Hybrid Journal   (Followers: 4)
Nanotechnologies in Russia     Hybrid Journal  
Natural Resource Modeling     Hybrid Journal  
New Mathematics and Natural Computation     Hybrid Journal   (Followers: 1)
Nonlinear Analysis     Hybrid Journal   (Followers: 1)
Nonlinear Analysis : Modelling and Control     Open Access   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
North Carolina Journal of Mathematics and Statistics     Open Access  
Note di Matematica     Open Access  
NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin     Hybrid Journal   (Followers: 3)
Numeracy : Advancing Education in Quantitative Literacy     Open Access   (Followers: 1)
Numerical Analysis and Applications     Hybrid Journal   (Followers: 1)
Numerical Functional Analysis and Optimization     Hybrid Journal   (Followers: 3)
Numerical Linear Algebra with Applications     Hybrid Journal   (Followers: 7)
Numerische Mathematik     Hybrid Journal  
Open Journal of Discrete Mathematics     Open Access   (Followers: 3)
Open Journal of Modelling and Simulation     Open Access   (Followers: 2)
Operations Research Letters     Hybrid Journal   (Followers: 11)
Optimization Letters     Hybrid Journal   (Followers: 2)
Optimization Methods and Software     Hybrid Journal   (Followers: 6)
Opuscula Mathematica     Open Access  
Order     Hybrid Journal  
ORiON     Open Access  
P-Adic Numbers, Ultrametric Analysis, and Applications     Hybrid Journal  
PAMM : Proceedings in Applied Mathematics and Mechanics     Free  
Parallel Processing Letters     Hybrid Journal   (Followers: 3)
Peking Mathematical Journal     Hybrid Journal  
Periodica Mathematica Hungarica     Full-text available via subscription   (Followers: 1)
Petroleum Science     Open Access  
Philosophia Mathematica     Hybrid Journal   (Followers: 1)
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences     Full-text available via subscription   (Followers: 9)
PNA. Revista de Investigación en Didáctica de la Matemática     Open Access  
Polar Science     Hybrid Journal   (Followers: 3)
Positivity     Hybrid Journal  
Press Start     Open Access   (Followers: 1)
Prime Number     Full-text available via subscription  
Probability in the Engineering and Informational Sciences     Hybrid Journal   (Followers: 1)
Problemy Peredachi Informatsii     Full-text available via subscription  
Proceedings - Mathematical Sciences     Open Access   (Followers: 5)
Proceedings of the American Mathematical Society, Series B     Open Access   (Followers: 3)
Proceedings of the Edinburgh Mathematical Society     Hybrid Journal  
Proceedings of the Institution of Civil Engineers - Engineering and Computational Mechanics     Hybrid Journal   (Followers: 2)
Proceedings of the Latvian Academy of Sciences. Section B: Natural, Exact and Applied Sciences     Open Access   (Followers: 1)
Proceedings of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences     Full-text available via subscription   (Followers: 6)
Proceedings of the Royal Society of Edinburgh Section A Mathematics     Full-text available via subscription  
Proceedings of the Steklov Institute of Mathematics     Hybrid Journal  
Progress in Photovoltaics: Research & Applications     Hybrid Journal   (Followers: 6)
Proyecciones : Revista de Matematica     Open Access   (Followers: 1)
Publications Mathématiques de Besançon : Algèbre et Théorie des Nombres     Open Access  
Publications Mathématiques de L'IHÉS     Hybrid Journal   (Followers: 3)
Punjab University Journal of Mathematics     Open Access   (Followers: 2)
Pure Mathematics and Applications     Open Access  
Pythagoras     Open Access  
Quaestiones Mathematicae     Hybrid Journal  
Qualitative Theory of Dynamical Systems     Hybrid Journal  
Quantum Studies : Mathematics and Foundations     Hybrid Journal   (Followers: 2)
Quarterly Journal of Mathematics     Hybrid Journal  
Rare Metals     Hybrid Journal   (Followers: 2)
Recreational Mathematics Magazine     Open Access  
REDIMAT : Journal of Research in Mathematics Education     Open Access   (Followers: 6)
REMAT : Revista Eletrônica da Matemática     Open Access  
Rendiconti del Circolo Matematico di Palermo     Hybrid Journal  
Reportes Científicos de la FaCEN     Open Access  
Research in Mathematics Education     Hybrid Journal   (Followers: 13)
Research in Nondestructive Evaluation     Hybrid Journal   (Followers: 7)
Research in Number Theory     Hybrid Journal  
Research in the Mathematical Sciences     Open Access  
Research Journal of Pure Algebra     Open Access   (Followers: 1)
Researches in Mathematics     Open Access  
Results in Control and Optimization     Open Access  

  First | 1 2 3 4     

Similar Journals
Journal Cover
Qualitative Theory of Dynamical Systems
Journal Prestige (SJR): 0.492
Citation Impact (citeScore): 1
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1662-3592 - ISSN (Online) 1575-5460
Published by Springer-Verlag Homepage  [2469 journals]
  • Besicovitch Almost Periodic Solutions to Stochastic Dynamic Equations with
           Delays

    • Free pre-print version: Loading...

      Abstract: Abstract In order to unify the study of Besicovitch almost periodic solutions of continuous time and discrete-time stochastic differential equations, we first propose concepts of Besicovitch almost periodic stochastic processes in p-th mean and of Besicovitch almost periodic stochastic processes in distribution on time scales, and reveal the relationship between the two random processes. Then, taking a class of stochastic Clifford-valued neural networks with time-varying delays on time scales as an example of stochastic dynamic equations with delays, we establish the existence and stability of Besicovitch almost periodic solutions in distribution for this class of networks by using Banach’s fixed point theorem, time scale calculus theory and inequality techniques.
      PubDate: 2022-05-18
       
  • Sufficient Conditions and Bounds Estimate of Blow-Up Time for a Fourth
           Order Parabolic Equation

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we consider a fourth order parabolic equation with heat source function and homogeneous boundary conditions. We establish some sufficient conditions to guarantee that the solution \(u({\varvec{x}},t)\) blows up at finite time and obtain upper and lower bounds of the blow-up time by constructing the corresponding functionals. We generalize the heat source function and improve the proof of the critical inequality in the reference Philippin (Proc Am Math Soc 143(6):2507–2513, 2015).
      PubDate: 2022-05-14
       
  • The Cyclicity of a Class of Global Nilpotent Center Under Perturbations of
           Piecewise Smooth Polynomials with Four $$\hbox {Zones}^*$$ Zones ∗

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we study the bifurcation of limit cycles of near-Hamilton system with four zones separated by nonlinear switching curves. We derive the expression of the first order Melnikov function. As an application, we consider the cyclicity of the system \({\dot{x}}=y, {\dot{y}}=-x^{2m-1}\) , where (0, 0) is a global nilpotent center and \(2\le m\in {\mathbb {N}}^{+}\) , under the perturbations of piecewise smooth polynomials with four zones separated by \(y=\pm kx^{m}\) with \(k>0\) . By analyzing the first order Melnikov function, we obtain the exact bound of the number of limit cycles bifurcating from the period annulus if the first order Melnikov function is not identically zero. We also give some examples to illustrate our results.
      PubDate: 2022-05-14
       
  • Existence of Positive Solutions for (N, p)-Laplace Equation with
           Exponential Nonlinearity Term and Convection Term in Dimension $${\mathbb
           {N}}$$ N

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we study the the following problem 0.1 $$\begin{aligned} {\left\{ \begin{array}{ll} -\Delta _N u-\mu \Delta _p u=\lambda (u^{r}+a \nabla u ^{s})+f(x,u)&{}\quad \mathrm{in} \; \Omega ,\\ u>0 &{}\quad \mathrm{in} \; \Omega ,\\ u=0 &{}\quad \mathrm{on} \; \partial \Omega . \end{array}\right. } \end{aligned}$$ The term f could be exponential growth at \(+\infty \) . The convection term involved with \(\nabla u\) makes the problem (0.1) nonvariational and the variational methods are not applicable. Under suitable conditions imposed on f, the approximation scheme is employed to obtain the existence of positive solutions for all \(\lambda \in (0,\lambda ^*]\) with \(\lambda ^*>0\) .
      PubDate: 2022-05-11
       
  • Oscillation of Noncanonical Second-Order Functional Differential Equations
           via Canonical Transformation

    • Free pre-print version: Loading...

      Abstract: Abstract The oscillatory properties of solutions to the second order functional differential equation $$\begin{aligned} \mathcal {L}x(t)+f(t)x^\beta (\sigma (t))=0, t \ge t_0 >0 \end{aligned}$$ where \(\mathcal {L}x(t)=(\eta (t)x'(t))'\) is a noncanonical operator, are studied. The main idea is to transform the noncanonical equation into canonical form which simplifies the investigation of oscillation of the equation. The obtained criteria are new and complement to the existing results reported in the literature. Examples illustrating the main results are presented.
      PubDate: 2022-05-10
       
  • Cubic Rational Maps with Escaping Critical Points, Part I: Julia Set
           Dichotomy in the Case of an Attracting Fixed Point

    • Free pre-print version: Loading...

      Abstract: Abstract The Julia set of any quadratic rational map is either connected or a Cantor set. In this paper, we extend this dichotomy to any cubic rational map with all critical points escaping to an attracting fixed point.
      PubDate: 2022-05-10
       
  • Global Bifurcation for Nonlinear Elliptic Problems with Gradient Term

    • Free pre-print version: Loading...

      Abstract: Abstract We study the bifurcation phenomena for a class of nonlinear elliptic problems with Hardy potential and gradient term. Some results about global continua of positive solutions emanating from bifurcation point from zero or infinity are established.
      PubDate: 2022-05-09
       
  • Existence of Ground State Solutions for Generalized Quasilinear
           Schrödinger Equations with Asymptotically Periodic Potential

    • Free pre-print version: Loading...

      Abstract: Abstract This article is concerned with the existence of positive ground state solutions for an asymptotically periodic quasilinear Schrödinger equation. By using a Nehari-type constraint, we get the existence results which improve the ones in Shi and Chen (Comput Math Appl 71:849–858, 2016). Moreover, we give an application of our results, which extends the results in Li (Commun Pure Appl Anal 14:1803–1816, 2015).
      PubDate: 2022-05-07
       
  • Investigation of Controllability and Observability for Linear
           Quaternion-Valued Systems from Its Complex-Valued Systems

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we adopt a new approach to study the controllability and observability of linear quaternion-valued systems (QVS) from the point of complex-valued systems, which is much different from the method used in the previous paper. We show the equivalence relation of complete controllability for linear QVS and its complex-valued system. Then we establish two effective criteria for controllability and observability of the linear QVS in the sense of complex representation. In addition, we give a direct method to solve the control function. Finally, we use numerical examples to illustrate our theoretical results.
      PubDate: 2022-05-06
       
  • Global Dynamics of Degenerate Linear Differential Systems with Symmetry
           and Two Parallel Switching Lines

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper we investigate the global dynamics for a degenerate linear differential system with symmetry and two paralleled switching lines. After analyzing the qualitative properties of all equilibria including infinity and the number of closed orbits, we obtain all global phase portraits on the Poincaré disc. From these main results, we find necessary and sufficient conditions for the existence of crossing limit cycles, crossing heteroclinic loops and sliding heteroclinic loops, respectively, and prove that the numbers of these three types of closed orbits are all at most 1. Moreover, switching lines maybe pseudo singular lines or boundary singular lines.
      PubDate: 2022-05-06
       
  • Existence of Four-Crossing-Points Limit Cycles in Planar Sector-Wise
           Linear Systems with Saddle-Saddle Dynamics

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we study a family of planar piecewise linear systems with saddle-saddle dynamics and sector-wise separation, which is formed by two rays starting from the same point. We mainly investigate the existence of four-crossing-points limit cycles, which intersect each of the two separation rays at two points. This is a new and complex type of limit cycle that cannot exist in planar piecewise linear systems with two zones separated by a straight line and their existence in planar sector-wise linear systems with saddle-saddle dynamics has not been studied until now. We first obtain some sufficient and necessary conditions for the existence of a special four-crossing-points limit cycle. Then based on this result, we give some sufficient conditions for the existence of general four-crossing-points limit cycles. Moreover, we show that the four-crossing-points limit cycle and two different types of two-crossing-points limit cycles can exist simultaneously by providing concrete examples.
      PubDate: 2022-05-03
       
  • Periodic Wave Solution of the Generalized Burgers–Fisher Equation
           via Abelian Integral

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, the global existence and uniqueness of an isolated periodic wave solution is investigated for the Burgers–Fisher equation in a very general form. The method is based on employing the monotonicity of the ratio of the Abelian integrals. However, the complexity of the nonlinear term increases the difficulty to prove its monotonicity. The obtained results generalize and improve the previous one (Zhang et al. Appl Math Lett 121:107353, 2021), and the new results in this paper have never appeared in the previous works including (Zhang et al. 2021).
      PubDate: 2022-05-03
       
  • Spectral Analysis of $$\alpha $$ α -Semi Periodic 2-Interval
           Sturm-Liouville Problems

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we propose a new type of boundary value problems for 2-interval Sturm-Liouville equations which differs from the classical periodic Sturm-Liouville problems in that, the boundary and transmission conditions depend on a positive parameter \(\alpha >0.\) We will call this problem \(\alpha \) -semi periodic Sturm-Liouville problem. It is important to note that our problem is not self-adjoint in the classical Hilbert space of square-integrable functions \(L_2[-\pi ,\pi ]\) when the parameter \(\alpha \ne 1\) . First by using an our own approach we investigated some properties of eigenvalues and their corresponding eigenfunctions. Then, for self-adjoint realization of the problem under consideration we define a different inner product in the classical Hilbert space in which we treated an operator-theoretic formulation. The results obtained generalize and extend similar results of the classical periodic Sturm-Liouville theory, since in the special case \(\alpha =1\) our problem is transformed into classical periodic Sturm-Liouville problems.
      PubDate: 2022-04-28
       
  • Hyperbolicity, Shadowing, and Bounded Orbits

    • Free pre-print version: Loading...

      Abstract: Abstract We show that a linear homeomorphism with the shadowing property of a Banach space is hyperbolic if and only if the set of points with bounded orbit is closed. The proof is based on an auxiliary type of shadowing called bounded shadowing property. We give examples where our result can be applied.
      PubDate: 2022-04-26
       
  • Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an
           Extended ( $$2+1$$ 2 + 1 )-Dimensional Coupled Burgers System in Fluid
           Mechanics

    • Free pre-print version: Loading...

      Abstract: Abstract Burgers-type equations are seen in cosmology, hydrodynamics, plasma physics, hurricane dynamics, statistical dynamics, traffic modelling, etc. For an extended ( \(2+1\) )-dimensional coupled Burgers system in fluid mechanics, concerning the velocity components in the fluid-related problems, our symbolic computation brings forth an auto-Bäcklund transformation with some solitons, and two sets of the similarity reductions. Our results rely on the coefficients in the system.
      PubDate: 2022-04-25
       
  • Liouville Results for Double Phase Problems in $$\mathbb {R}^N$$ R N

    • Free pre-print version: Loading...

      Abstract: Abstract We prove Liouville theorems for the double phase problem $$\begin{aligned} -\text {div} ( \nabla u ^{p-2} \nabla u + w(x) \nabla u ^{q-2} \nabla u) = f(x) u ^{r-1}u \quad \text { in } \mathbb {R}^N, \end{aligned}$$ where \(q\ge p\ge 2\) , \(r>q-1\) and \(w,f \in L^1_\mathrm{loc}(\mathbb {R}^N)\) are two nonnegative functions such that \(w(x) \le C_1 x ^a\) and \(f(x) \ge C_2 x ^b\) for all \( x > R_0\) , where \(R_0,C_1,C_2>0\) and \(a,b\in \mathbb {R}\) . Our Liouville results hold for stable solutions in dimension \(N<N^\sharp \) , where \(N^\sharp \) is explicitly computed. We also prove Liouville theorems for finite energy solutions as well as solutions stable outside a compact set when \(\frac{N+b}{r+1} > \max \left\{ \frac{N-p}{p}, \frac{N-q+a}{q}\right\} \) . Methods of integral estimates and a Pohožaev type identity for double phase problems are exploited in our proofs.
      PubDate: 2022-04-23
       
  • Stochastic Dynamics of a Two-Species Patch-System With Ratio-Dependent
           Functional Response

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we analyze the features of a stochastically perturbed two-species predator-prey patch-system with ratio-dependent functional response. We first prove that the system which we investigate has a unique global positive solution. Then, the sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system are presented by establishing a series of suitable Lyapunov functions.
      PubDate: 2022-04-22
       
  • Two Weighted Higher-Order Dynamic Inequalities of Opial Type with Two
           Functions

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we prove some new dynamic inequalities of Opial type involving higher-order derivatives of two functions, with two different weights on time scales. From these inequalities, we will derive some special cases and give an improvement of some versions of recent results.
      PubDate: 2022-04-20
       
  • Dynamical Analysis for a Malaria Transmission Model

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we present a malaria transmission model with climatic factors to study the climatic transmission dynamics of malaria with the effect of the Serratia AS1 bacterium. It has been shown in controlled laboratory experiments that Serratia AS1 bacterium can rapidly disseminate throughout mosquito populations and efficiently inhibit development of malaria parasites in mosquitoes. We derive the basic reproduction ratio \(R_{0}\) . We introduce the basic reproduction ratio \(R_{0}\) which can be used as a threshold parameter in the global dynamical model. When \(R_{0}\le 1\) , the disease-free periodic solution of this model is globally asymptotically stable; and when \(R_{0}>1\) , the disease remains persistent. We analyze the sensitivity of \(R_{0}\) in terms of the vertical and horizontal transmission rates of Serratia AS1, and find that \(R_{0}\) can be small when the vertical transmission rate of Serratia AS1 tends to 1 and the influence of the horizontal transmission rate performs inversely proportional to \(R_{0}\) when the vertical transmission rate is less than 1. Based on the data of Luanda, we perform numerical simulations to illustrate our theoretical results, which indicate that treatment of Serratia AS1 provides us an effective measure in controlling malaria.
      PubDate: 2022-04-11
       
  • Global Dynamics of a Piecewise Smooth System with a Fold–Cusp and
           General Parameters

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, for general parameters we investigate the global dynamics of a piecewise smooth system, which is a two-parametric unfolding of a normal form with a fold–cusp. The main difficulty comes from the global switching of vector fields on switching manifold and the non-locality of parameters because switching makes classic theory of qualitative analysis and bifurcations for smooth systems invalid. Analyzing the global structure of switching manifold including all singularities and determining the precise domain of Poincaré map on the whole switching manifold, we obtain the bifurcation diagram in the whole parameter space and all corresponding global phase portraits in Poincaré disc. In this bifurcation diagram, the fold–fold bifurcation curve intersects the sliding homoclinic bifurcation curve and the pseudo-saddle-node bifurcation curve at two certain nonlocal parameters, respectively. Such intersections correspond to a degenerate sliding homoclinic loop and a degenerate fold–fold. Moreover, a sliding limit cycle and a pseudo-equilibrium bifurcate from the former and two pseudo-equilibria bifurcate from the latter. This generalizes the bifurcation theory of sliding homoclinic loop and fold–fold to the degenerate case.
      PubDate: 2022-04-10
       
 
JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762
 


Your IP address: 34.231.244.12
 
Home (Search)
API
About JournalTOCs
News (blog, publications)
JournalTOCs on Twitter   JournalTOCs on Facebook

JournalTOCs © 2009-