Subjects -> MATHEMATICS (Total: 1118 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (819 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (819 journals)                  1 2 3 4 5 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Accounting Perspectives     Full-text available via subscription   (Followers: 9)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 17)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 9)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 13)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 8)
Advances in Complex Systems     Hybrid Journal   (Followers: 12)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 5)
Advances in Fixed Point Theory     Open Access   (Followers: 9)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 22)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 22)
Advances in Mathematical Physics     Open Access   (Followers: 10)
Advances in Mathematics     Full-text available via subscription   (Followers: 22)
Advances in Numerical Analysis     Open Access   (Followers: 8)
Advances in Operations Research     Open Access   (Followers: 14)
Advances in Operator Theory     Hybrid Journal   (Followers: 4)
Advances in Porous Media     Full-text available via subscription   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 11)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 12)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 4)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 8)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal   (Followers: 1)
American Journal of Mathematics     Full-text available via subscription   (Followers: 9)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 13)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 10)
Analysis Mathematica     Full-text available via subscription  
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access   (Followers: 8)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 17)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 4)
Annals of Mathematics     Full-text available via subscription   (Followers: 4)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 16)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 6)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 2)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 10)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 13)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 2)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 2)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 6)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 4)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 24)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 4)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 7)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 3)
British Journal for the History of Mathematics     Hybrid Journal  
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 15)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 3)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access   (Followers: 2)
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 23)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 6)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 3)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access   (Followers: 1)
CODEE Journal     Open Access   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 17)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 5)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 11)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 3)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 9)
Computational Mechanics     Hybrid Journal   (Followers: 10)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 11)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access   (Followers: 1)
Contributions to Discrete Mathematics     Open Access   (Followers: 1)
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access   (Followers: 1)
Demographic Research     Open Access   (Followers: 16)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access   (Followers: 3)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 4)

        1 2 3 4 5 | Last

Similar Journals
Journal Cover
Acta Mathematicae Applicatae Sinica, English Series
Journal Prestige (SJR): 0.208
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0168-9673 - ISSN (Online) 1618-3932
Published by Springer-Verlag Homepage  [2658 journals]
  • Stability of Entropy Solution of Conservation Law Systems on Flow Function
           and Relaxation Function

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      Abstract: Abstract In this paper, using the fractional step Lax-Friedrichs difference scheme, we establish the stability of the entropy solution on flow function and relaxation function for a class of conservation law systems with a source term and a relaxation term.
      PubDate: 2021-10-01
       
  • Correction to “A Classification of Spectrum-determined Circulant
           Digraphs”

    • Free pre-print version: Loading...

      PubDate: 2021-10-01
       
  • Multiple Bifurcations of Critical Period for a Quartic Kolmogorov Model

    • Free pre-print version: Loading...

      Abstract: Abstract Our work is concerned with the bifurcation of critical period for a quartic Kolmogorov system. By computing the periodic constants carefully, we show that point (1,1) can be a weak center of fourth order, and the weak centers condition is given. Moreover, point (1,1) can bifurcate 4 critical periods under a certain condition. In terms of multiple bifurcation of critical periodic problem for Kolmogorov model, studied results are less seen, our work is good and interesting.
      PubDate: 2021-10-01
       
  • Statistical Inference for the Covariates-driven Binomial AR(1) Process

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      Abstract: Abstract The binomial autoregressive (BAR(1)) process is very useful to model the integer-valued time series data defined on a finite range. It is commonly observed that the autoregressive coefficient is assumed to be a constant. To make the BAR(1) model more practical, this paper introduces a new random coefficient binomial autoregressive model, which is driven by covariates. Basic probabilistic and statistical properties of this model are discussed. Conditional least squares and conditional maximum likelihood estimators of the model parameters are derived, and the asymptotic properties are obtained. The performance of these estimators is compared via a simulation study. An application to a real data example is also provided. The results show that the proposed model and methods perform well for the simulations and application.
      PubDate: 2021-10-01
       
  • Total-coloring of Sparse Graphs with Maximum Degree 6

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      Abstract: Abstract Given a graph G = (V, E) and a positive integer k, a k-total-coloring of G is a mapping φ: V⋃E → {1, 2, ⋯, k} such that no two adjacent or incident elements receive the same color. The central problem of the total-colorings is the Total Coloring Conjecture, which asserts that every graph of maximum degree Δ admits a (Δ+2)-total-coloring. More precisely, this conjecture has been verified for Δ ≤ 5, and it is still open when Δ = 6, even for planar graphs. Let mad(G) denote the maximum average degree of the graph G. In this paper, we prove that every graph G with Δ(G) = 6 and mad(G) < 23/5 admits an 8-total-coloring.
      PubDate: 2021-10-01
       
  • Uniform Asymptotics for Finite-time Ruin Probability in a Dependent Risk
           Model with General Stochastic Investment Return Process

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      Abstract: Abstract In this paper, we consider a non-standard renewal risk model with dependent claim sizes, where an insurance company is allowed to invest his/her wealth in financial assets, leading to some stochastic investment log-returns described as a general adapted càdlàg process. Under the assumptions that the claim sizes are heavy-tailed and the stochastic log-return process on investments is bounded from below almost surely, we derive some asymptotic formulas for the finite-time ruin probability holding uniformly in any finite time horizon.
      PubDate: 2021-10-01
       
  • Ground State Solutions for a Class of Choquard Equations Involving Doubly
           Critical Exponents

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      Abstract: Abstract In this paper, we are concerned with the autonomous Choquard equation $$ - \Delta u + u = ({I_\alpha } \ast {\left u \right ^{{\alpha \over N} + 1}}){\left u \right ^{{\alpha \over N} - 1}}u + {\left u \right ^{{2^ \ast } - 2}}u + f(u)\,\,\,\,\,\,\,{\rm{in}}\,\,{\mathbb{R}^N},$$ where N ≥ 3, Iα denotes the Riesz potential of order α ∈ (0, N), the exponents \({\alpha \over N} + 1\) and \({2^ * } = {{2N} \over {N - 2}}\) are critical with respect to the Hardy-Littlewood-Sobolev inequality and Sobolev embedding, respectively. Based on the variational methods, by using the minimax principles and the Pohožaev manifold method, we prove the existence of ground state solution under some suitable assumptions on the perturbation f.
      PubDate: 2021-10-01
       
  • A Result on Fractional (a, b, k)-critical Covered Graphs

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      Abstract: Abstract A fractional [a, b]-factor of a graph G is a function h from E(G) to [0, 1] satisfying \(a \le d_G^h(v) \le b\) for every vertex v of G, where \(d_G^h(v) = \sum\limits_{e \in E(v)} {h(e)} \) and E(v) = {e = uv : u ∈ V (G)}. A graph G is called fractional [a, b]-covered if G contains a fractional [a, b]-factor h with h(e) = 1 for any edge e of G. A graph G is called fractional (a, b, k)-critical covered if G — Q is fractional [a, b]-covered for any Q ⊆ V(G) with ∣Q∣ = k. In this article, we demonstrate a neighborhood condition for a graph to be fractional (a, b, k)-critical covered. Furthermore, we claim that the result is sharp.
      PubDate: 2021-10-01
       
  • Line Graph Links

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      Abstract: Abstract It is well known that a shaded link diagram corresponds to a signed plane multi-graph. In graph theory, line graph is an old and important concept originally introduced by H. Whitney in 1932. In this paper we define the line graph link to be a link which has a diagram whose corresponding signed plane graph is a signed line graph. The main purpose of the paper is to illustrate the structure of planar line graphs, which permits us to deal with its signed Tutte polynomial and the Jones polynomials of line graph links.
      PubDate: 2021-10-01
       
  • On Mutually Orthogonal Extraordinary Supersquares

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      Abstract: Abstract Let Fd be the finite field with d elements. Extraordinary subgroups in Fd × Fd play an important role in the field of quantum information theory, especially for the study of mutually unbiased bases. Recently, Ghiu et al. introduced the concept of supersquare of order d which is related to extraordinary subgroups. They have given a method of construction of the mutually orthogonal supersquares, and determined all the complete sets of mutually orthogonal extraordinary supersquares of order 4. In this article, we present the construction of a complete set of mutually orthogonal extraordinary supersquares of order pn where p is a prime. We also determine all the complete sets of mutually orthogonal extraordinary supersquares of order 9.
      PubDate: 2021-10-01
       
  • $${\cal U}{\cal V}$$ U V -theory of a Class of Semidefinite Programming
           and Its Applications

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      Abstract: Abstract In this paper we study optimization problems involving convex nonlinear semidefinite programming (CSDP). Here we convert CSDP into eigenvalue problem by exact penalty function, and apply the \({\cal U}\) -Lagrangian theory to the function of the largest eigenvalues, with matrix-convex valued mappings. We give the first-and second-order derivatives of \({\cal U}\) -Lagrangian in the space of decision variables Rm when transversality condition holds. Moreover, an algorithm frame with superlinear convergence is presented. Finally, we give one application: bilinear matrix inequality (BMI) optimization; meanwhile, list their \({\cal U}{\cal V}\) decomposition results.
      PubDate: 2021-10-01
       
  • Multigraphic Degree Sequences and Hamiltonian-connected Line Graphs

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      Abstract: Abstract Let G be a multigraph. Suppose that e = u1v1 and e′ = u2v2 are two edges of G. If e ≠ e′, then G(e, e′) is the graph obtained from G by replacing e = u1v1 with a path u1vev1 and by replacing e′ = u2v2 with a path u2ve′v2, where ve, ve′ are two new vertices not in V(G). If e = e′, then G(e, e′), also denoted by G(e), is obtained from G by replacing e = u1v1 with a path u1vev1. A graph G is strongly spanning trailable if for any e, e′ ∈ E(G), G(e, e′) has a spanning (ve, ve′)-trail. The design of n processor network with given number of connections from each processor and with a desirable strength of the network can be modelled as a degree sequence realization problem with certain desirable graphical properties. A sequence d = (d1, d2, ⋯, dn) is multigraphic if there is a multigraph G with degree sequence d, and such a graph G is called a realization of d. A multigraphic degree sequence d is strongly spanning trailable if d has a realization G which is a strongly spanning trailable graph, and d is line-hamiltonian-connected if d has a realization G such that the line graph of G is hamiltonian-connected. In this paper, we prove that a nonincreasing multigraphic sequence d = (d1, d2) ⋯, dn) is strongly spanning trailable if and only if either n = 1 and d1 = 0 or n ≥ 2 and dn ≥ 3. Applying this result, we prove that for a nonincreasing multigraphic sequence d = (d1, d2, ⋯, dn), if n ≥ 2 and dn ≥ 3, then d is line-hamiltonian-connected.
      PubDate: 2021-10-01
       
  • Large Deviations for 2D Primitive Equations Driven by Multiplicative
           Lévy Noises

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      Abstract: Abstract In this paper, we establish a large deviation principle for two-dimensional primitive equations driven by multiplicative Lévy noises. The proof is based on the weak convergence approach.
      PubDate: 2021-10-01
       
  • Lower Bounds of Size Ramsey Number for Graphs with Small Independence
           Number

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      Abstract: Abstract Let r ≥ 3 be an integer such that r − 2 is a prime power and let H be a connected graph on n vertices with average degree at least d and α(H) ≤ βn, where 0 < β < 1 is a constant. We prove that the size Ramsey number $$\hat R(H;r) > {{nd} \over 2}{(r - 2)^2} - C\sqrt n $$ for all sufficiently large n, where C is a constant depending only on r, d and β. In particular, for integers k ≥ 1, and r ≥ 3 such that r − 2 is a prime power, we have that there exists a constant C depending only on r and k such that \(\hat R(P_n^k;r) > kn{(r - 2)^2} - C\sqrt n - {{({k^2} + k)} \over 2}{(r - 2)^2}\) for all sufficiently large n, where P n k is the kth power of Pn.
      PubDate: 2021-10-01
       
  • Global Stability of a Mumps Transmission Model with Quarantine Measure

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      Abstract: Abstract In this paper, a model of mumps transmission with quarantine measure is proposed and then the control reproduction number \({{\cal R}_c}\) of the model is obtained. This model admits a unique endemic equilibrium P* if and only if Rc > 1, while the disease-free equilibrium P0 always exists. By using the technique of constructing Lyapunov functions and the generalized Lyapunov-LaSalle theorem, we first show that the equilibrium P0 is globally asymptotically stable (GAS) if Rc ≤ 1; second, we prove that the equilibrium P* is GAS if Rc > 1. Our results reveal that mumps can be eliminated from the community for \({{\cal R}_c} \le 1\) and it will be persistent for \({{\cal R}_c} > 1\) , and quarantine measure can also effectively control the mumps transmission.
      PubDate: 2021-10-01
       
  • A Belief-Dependent Utility Model

    • Free pre-print version: Loading...

      Abstract: Abstract This paper proposes a belief-dependent utility function(BDU). The BDU is based on the fact that the beliefs of acts have inconsistent impacts on utilities. The existence and uniqueness result of the BDU function is provided. It is then proved that the BDU function can provide risk attitude analysis and general comparative analysis as powerful as those presented by the classical expected utility theories.
      PubDate: 2021-10-01
       
  • A Nonhomogeneous Mean-Field Linear-Quadratic Optimal Control Problem and
           Application

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      Abstract: Abstract In this paper, a mean-variance hedging portfolio problem is considered for mean-field stochastic differential equations. The original problem can be reformulated as a nonhomogeneous linear-quadratic optimal control problem with mean-field type. By virtue of the classical completion of squares, the optimal control is obtained in the form of state feedback. We use the theoretical results to the mean-variance hedging portfolio problem and get the optimal portfolio strategy.
      PubDate: 2021-10-01
       
  • Connection Between Continuous Optimization and Turán Densities of
           Non-uniform Hypergraphs

    • Free pre-print version: Loading...

      Abstract: Abstract A classical result of Motzkin and Straus established the connection between the Lagrangian of a graph and its maximum cliques. Applying it, they gave a new proof of Turán’s theorem. This aroused the interests in studying the connection between continuous optimization and extremal problems in combinatorics. In 2009, S. Rota Bulò and M. Pelillo extended the result of Motzkin-Straus to r-uniform hypergraphs. Recently, Johnston and Lu initiated the study of the Turán density of a non-uniform hypergraph. Polynomial optimization problems related to several types of non-uniform hypergraphs and its applications on Turán densities have also been studied. In this paper, we obtain a Motzkin-Straus type of results for all non-uniform hypergraphs. Applying it, we give an upper bound of the Turán density of a complete non-uniform hypergraph.
      PubDate: 2021-10-01
       
  • Existence and Properties of Solutions for a Class of Fractional
           Differential Equations

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we consider the initial value problem of a class of fractional differential equations. Firstly, we obtain the existence and uniqueness of the solutions by using Picard’s method of successive approximation. Then we discuss the dependence of the solutions on the initial value.
      PubDate: 2021-07-01
       
  • Hosoya and Merrifleld-Simmons Indices in Random Polyphenyl Chains

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      Abstract: Abstract The Hosoya index of a graph is the total number of matchings in it. And the Merrifleld-Simmons index is the total number of independent sets in it. They are typical examples of graph invariants used in mathematical chemistry for quantifying relevant details of molecular structure. In this paper, we obtain explicit analytical expressions for the expectations of the Hosoya index and the Merrifleld-Simmons index of a random polyphenyl chain.
      PubDate: 2021-07-01
       
 
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