Results 1 to 10 of about 64 (64)
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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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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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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Some results on fractional Hahn difference boundary value problems
Demonstratio Mathematica, 2023 Fractional Hahn boundary value problems are significant tools to describe mathematical and physical phenomena depending on non-differentiable functions.
Baheeg Elsaddam A. +2 more
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On second-order fuzzy discrete population model
Open Mathematics, 2022 This work is concerned with dynamical behavior of a second-order fuzzy discrete population model: xn=Axn−11+xn−1+Bxn−2,n=1,2,…,{x}_{n}=\frac{A{x}_{n-1}}{1+{x}_{n-1}+B{x}_{n-2}},\hspace{1em}n=1,2,\ldots , where A,BA,B are positive fuzzy numbers. xn{x}_{n}
Zhang Qianhong +2 more
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Open Mathematics, 2022 In this article, we consider a discrete nonlinear third-order boundary value problem Δ3u(k−1)=λa(k)f(k,u(k)),k∈[1,N−2]Z,Δ2u(η)=αΔu(N−1),Δu(0)=−βu(0),u(N)=0,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}{\Delta }^{3}u\left(k-1)=\lambda a\left(k)f ...
Li Huijuan +2 more
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Laplace - Fibonacci transform by the solution of second order generalized difference equation
Nonautonomous Dynamical Systems, 2017 The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform
Pinelas Sandra +3 more
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