Results 1 to 10 of about 77 (77)
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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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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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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Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts
Open Mathematics, 2019 In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
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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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