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 Facta Universitatis, Series : Mathematics and Informatics   [0 followers]  Follow       Open Access journal    ISSN (Print) 0352-9665 - ISSN (Online) 2406-047X    Published by U of Niš  [12 journals]
• ECONOMIC-EMISSION DISPATCH WITH SEMIDEFINITE PROGRAMMING AND RATIONAL
FUNCTION APPROXIMATIONS

• Authors: Abimbola M. Jubril, Philip O. Ogunbona
Pages: 565 - 582
Abstract: The emission function associated with the economic-emission dispatch problem contains exponential functions that model the emission pollutants. This paper presents a strategy of solving the economic-emission dispatch problem whereby the exponential function is approximated by a rational function that permits reduction to a standard polynomial optimization problem. This is reformulated as a hierarchy of semidefinite relaxation problems using the moment theory and the resulting SDP problem is solved. Different degrees of rational functional approximation were considered. The approach was tested on the IEEE 30-bus test systems to investigate its effectiveness. Solutions obtained were compared with those from some of the well known evolutionary methods. Results showed that SDP has inherently good convergence property and a lower but comparable diversity property.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705565J

• BIFURCATION OF NONTRIVIAL PERIODIC SOLUTIONS FOR LEISHMANIASIS DISEASE
MODEL

• Authors: Fatima Boukhalfa, Mohamed Helal, Abdelkader Lakmeche
Pages: 583 - 628
Abstract: We develop an impulsive model for zoonotic visceral leishmaniasis disease on a population of dogs. The disease infects a population D of dogs. We determine the basic reproduction number R0, which depends on the vectorial capacity C. Our analysis focuses on the values of C which give either stability or instability of the disease-free equilibrium (DFE). If the vectorial capacity C is less than some threshold, we obtain the stability of DFE, which means that the disease is eradicated for any period of culling dogs. Otherwise, for C greater than the threshold, the period of culling must be in a limited interval. For the particular case, when the period of culling is equal to the threshold, we observe bifurcation phenomena, which means that the disease is installed. In our study of the exponential stability of the DFE we use the fixed point method, and for the bifurcation we use the Lyapunov-Schmidt method.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705583B

• LOCAL EXISTENCE AND SUFFICIENT CONDITIONS OF THE NON-GLOBAL SOLUTION FOR
WEIGHTED DAMPED WAVE EQUATIONS

Pages: 629 - 657
Abstract: In this paper we study the following Cauchy problem of the weighted
damped wave equation with nonlinear memory in the multi-dimensional real space Rn. where, m > 1, p > 1, 0 < gama < 1 and Delta is the usual Laplace operator and g is a positive smooth function which will be specified later. Firstly, we will prove the existence and uniqueness of the local solution theorem and, secondly, the nonexistence of the global solutions theorem is established.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705629T

• ENERGY DECAY RATES FOR THE BRESSE-CATTANEO SYSTEM WITH WEAK NONLINEAR
BOUNDARY DISSIPATION

• Authors: Taklit Hamadouche, Ammar Khemmoudj
Pages: 659 - 685
Abstract: In this paper, we consider a one-dimensional Bresse system with Cattaneo’s type heat conduction and a nonlinear weakly dissipative boundary feedback localized on a part of the boundary. We show the well-posedness, using the semigroup theory, and establish an explicit and general decay rate result without imposing a specific growth assumption on the behavior of damping terms near zero.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705659H

• BEST PROXIMITY POINTS FOR GENERALIZED (α, φ, ψ)-PROXIMAL
CONTRACTIONS ON SEMI-METRIC SPACES

• Authors: Abdelbasset Felhi
Pages: 687 - 702
Abstract: In this paper, we introduce the class of generalized (&alpha;, &phi;, &psi;)-proximal
contraction non-self-maps in semi-metric spaces. For such maps, we provide
sufficient conditions ensuring the existence and uniqueness of best proximity
points by using the concept of -proximal admissible mapping. As applications, we infer best proximity point and xed point results for mappings in partially ordered semi-metric spaces. The presented results generalize and improve various known results from best proximity and fixed point theory.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705687F

• A COMMON RANDOM FIXED POINT THEOREM OF RATIONAL INEQUALITY IN POLISH
SPACES WITH APPLICATION

• Authors: Rashwan A. Rashwan, Hasanen A. Hammad
Pages: 703 - 714
Abstract: In this paper, we prove a new common random fixed point theorem for a pair of random operators satisfying random F-contraction of rational inequality in polish spaces. An application to a system of random nonlinear integral equations is discussed. Finally, we give some examples to verify our results.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705703R

• HYERS-ULAM STABILITY FOR A SPECIAL CLASS OF FUNCTIONAL EQUATIONS

Pages: 715 - 727
Abstract: In this paper, we investigate the stability in the sense of Hyers-Ulam for a
class of the following type functional equations:$$\sum_{\lambda \in \Phi}{f(x+\lambda y+a_{\lambda})}=Nf(x)+h(y),\ x,y\in S$$where $\mathbb{K}$ is a complete valued field of characteristic zero, $F$ is
a complete normed space (Archimedean or ultrametric) over
$\mathbb{K}$, $(S,+)$ is an abelian monoid, $f,h\colon S\to F$,
$\Phi$ is a finite automorphism group of $S$, $N$ is the
cardinality of $\Phi$ and $a_{\lambda}\in S$, $\lambda \in \Phi$.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705715C

• ENTIRE FUNCTIONS SHARING POLYNOMIALS WITH THEIR DERIVATIVES

• Authors: Goutam Kumar Ghosh
Pages: 729 - 745
Abstract: In this paper we study the uniqueness of entire functions sharing two polynomials with their derivatives. The results of the paper improve the corresponding results of Chang and Fang (Kodai Math.J. 25(2002), 309–320) and Lahiri-Ghosh(Present author) (Analysis ,Munich. 31(2011), 47–59).
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705729G

• SIMPSON’S TYPE INEQUALITY FOR F-CONVEX FUNCTION

• Authors: Mehmet Zeki Sarıkaya, Tuba Tunç, Hüseyin Budak
Pages: 747 - 753
Abstract: In this paper, we obtain Simpson’s type inequality for the function whose
second derivatives absolute values are F-convex. Then, we give some special cases of
the mappings F.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705747S

• SOME CURVES ASSOCIATED WITH &alpha;-SASAKIAN MANIFOLDS

• Authors: Ashis Mondal, Avijit Sarkar
Pages: 755 - 762
Abstract: The aim of the present paper is to study biharmonic magnetic curves on three-dimensional &alpha;-Sasakian manifolds. We also characterize biminimal curves on a hypersurface of a three-dimensional &alpha;-Sasakian manifold with constant curvature.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705755M

• HYPERSURFACES OF A FINSLER SPACE WITH PROJECTIVE GENERALIZED KROPINA
CONFORMAL CHANGE METRIC

• Authors: Akansha Shukla, Prachi N. Pandey
Pages: 763 - 779
Abstract: In the present paper, we have studied a Finsler space whose metric is obtained from the metric of a Finsler space by generalized Kropina conformal change and obtained a necessary and sufficient condition for these Finsler spaces to be projectively related. Apart from other results, the relation between the hypersurfaces of the two Finsler spaces has been discussed.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705763S

• ON A CLASSIFICATION OF PARA-SASAKIAN MANIFOLDS

• Authors: Pradip Majhi, Gopal Ghosh
Pages: 781 - 788
Abstract: We consider para-Sasakian manifolds satisfying the curvature conditions $P\cdot R=0$, $P\cdot Q=0$ and $Q\cdot P=0$, where $R$ is the Riemannian curvature tensor, $P$ is the projective curvature tensor and $Q$ is the Ricci operator.
PubDate: 2018-01-10
DOI: 10.22190/FUMI1705781M

• MATLAB SIMULATION OF THE HYBRID OF RECURSIVE NEURAL DYNAMICS FOR ONLINE
MATRIX INVERSION

• Authors: Ivan S. Živković, Predrag S. Stanimirović
Pages: 799 - 809
Abstract: A novel kind of a hybrid recursive neural implicit dynamics for real-time matrix inversion has been recently proposed and investigated. Our goal is to compare the hybrid recursive neural implicit dynamics on the one hand, and conventional explicit neural dynamics on the other hand. Simulation results show that the hybrid model can coincide better with systems in practice and has higher abilities in representing dynamic systems. More importantly, hybrid model can achieve superior convergence performance in comparison with the existing dynamic systems, specifically recently-proposed Zhang dynamics. This paper presents the Simulink model of a hybrid recursive neural implicit dynamics and gives a simulation and comparison to the existing Zhang dynamics for real-time matrix inversion. Simulation results confirm a superior convergence of the hybrid model compared to Zhang model.
PubDate: 2018-01-10

• Generalized Matrix Multiplication and Its Some Applications

• Authors: osman Kecilioglu
First page: 789
Abstract: In this paper, generalized matrix multiplication is defined in R^{m,n}×R^{n,p} by using any scalar product in Rⁿ, where R^{m,n} denotes set of matrices of m rows and n columns. With this multiplication it has been shown that R^{n,n} is an algebra with unit. By considering this new multiplication we define eigenvalues and eigenvectors of square n×n matrix A. A special case is considered and generalized diagonalization is also introduced.
PubDate: 2017-10-26
DOI: 10.22190/FUMI1705789K
Issue No: Vol. 32, No. 3 (2017)

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