Dynamics of a two-dimensional system of rational difference equations of Leslie--Gower type
Advances in Difference Equations, 2011 We investigate global dynamics of the following systems of difference equations x n + 1 = α 1 + β 1 x n A 1 + y n y n + 1 = γ 2 y n A 2 + B 2
Kulenović MRS +2 more
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The periodic nature and expression on solutions of some rational systems of difference equations
Alexandria Engineering Journal, 2023 Our aim in this paper is to obtain formulas expressions for solutions of the following fractional systems of difference equationsLn+1=Ln-3Mn-4Mn±1-Ln-3Mn-4Wn-1Xn-2,n=0,1,2,…,Mn+1=Mn-3Wn-4Wn±1-Mn-3Wn-4Xn-1Ln-2,Wn+1=Wn-3Xn-4Xn±1±Wn-3Xn-4Ln-1Mn-2,Xn+1=Xn ...
E.M. Elsayed, B.S. Alofi
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Dynamical behaviors of a k-order fuzzy difference equation
Open Mathematics, 2022 Difference equations are often used to create discrete mathematical models. In this paper, we mainly study the dynamical behaviors of positive solutions of a nonlinear fuzzy difference equation: xn+1=xnA+Bxn−k(n=0,1,2,…),{x}_{n+1}=\frac{{x}_{n}}{A+B{x}_ ...
Han Caihong +3 more
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Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
Advances in Nonlinear Analysis, 2022 In this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory.
Long Yuhua
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Entire solutions for several general quadratic trinomial differential difference equations
Open Mathematics, 2021 This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms.
Luo Jun, Xu Hong Yan, Hu Fen
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Open Mathematics, 2021 In this paper, we discuss the existence of positive solutions to a discrete third-order three-point boundary value problem. Here, the weight function a(t)a\left(t) and the Green function G(t,s)G\left(t,s) both change their sign.
Cao Xueqin, Gao Chenghua, Duan Duihua
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The smallest singular value of certain Toeplitz-related parametric triangular matrices
Special Matrices, 2021 Let L be the infinite lower triangular Toeplitz matrix with first column (µ, a1, a2, ..., ap, a1, ..., ap, ...)T and let D be the infinite diagonal matrix whose entries are 1, 2, 3, . . . Let A := L + D be the sum of these two matrices.
Solary Maryam Shams +2 more
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On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy [PDF]
, 2007 We give a simple algebraic proof that the two different Lax pairs for the Kac-van Moerbeke hierarchy, constructed from Jacobi respectively super-symmetric Dirac-type difference operators, give rise to the same hierarchy of evolution equations.
B.A. Dubrovin +10 more
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Integral Inequalities and their Applications to the Calculus of Variations on Time Scales [PDF]
, 2010 We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.Comment: To appear in Mathematical Inequalities & Applications (http://mia.ele-math.com).
Bohner, Martin J. +2 more
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On the solutions of a system of (2p+1) difference equations of higher order
Miskolc Mathematical Notes, 2021 In this paper we represent the well-defined solutions of the system of the higher-order rational difference equations x j) n+1 = 1+2x j+1)mod(2p+1) n−k 3+ x j+1)mod(2p+1) n−k , n,k, p ∈ N0 in terms of Fibonacci and Lucas sequences, where the initial ...
Amira Khelifa, Yacine Halim, M. Berkal
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