Results 1 to 10 of about 60 (60)
A certain class of fractional difference equations with damping: Oscillatory properties
Demonstratio Mathematica, 2023 In this study, we have investigated the oscillatory properties of the following fractional difference equation: ∇α+1χ(κ)⋅∇αχ(κ)−p(κ)г(∇αχ(κ))+q(κ)G∑μ=κ−α+1∞(μ−κ−1)(−α)χ(μ)=0,{\nabla }^{\alpha +1}\chi \left(\kappa )\cdot {\nabla }^{\alpha }\chi \left ...
Arundhathi Sivakumar +3 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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Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type
Advances in Nonlinear Analysis, 2023 The article investigates a second-order nonlinear difference equation of Emden-Fowler type Δ2u(k)±kαum(k)=0,{\Delta }^{2}u\left(k)\pm {k}^{\alpha }{u}^{m}\left(k)=0, where kk is the independent variable with values k=k0,k0+1,…k={k}_{0},{k}_{0}+1,\ldots ...
Diblík Josef, Korobko Evgeniya
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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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A coupled system of fractional difference equations with anti-periodic boundary conditions
, 2023 In this article, we give sufficient conditions for the existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of two-point nabla fractional difference boundary value problems subject to anti-periodic boundary conditions, using ...
Jagan Mohan Jonnalagadda +1 more
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, 2023 In this paper, we investigate the relations between the growth of entire coefficients and that of solutions of complex homogeneous and non-homogeneous linear difference equations with entire coefficients of φ-order by using a slow growth scale, the φ ...
Pulak Sahoo +3 more
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A unified approach for novel estimates of inequalities via discrete fractional calculus techniques
Alexandria Engineering Journal, 2022 In this article, we introduce the discrete fractional sum equations and inequalities. Some new generalized Grüss type discrete fractional sum inequalities are developed. We employ a nabla or backward difference; we employ the Riemann-Liouville definition
Samaira Naz, Yu-Ming Chu
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Open Mathematics, 2022 In this article, we are concerned with the periodic solutions of first-order difference equation Δu(t−1)=f(t,u(t))−s,t∈Z,(P)\Delta u\left(t-1)=f\left(t,u\left(t))-s,\hspace{1em}t\in {\mathbb{Z}},\hspace{1.0em}\hspace{1.0em}\left(P) where s∈Rs\in {\mathbb{
Zhao Jiao, Ma Ruyun
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Multidimensional sampling theorems for multivariate discrete transforms
Advances in Difference Equations, 2021 This paper is devoted to the establishment of two-dimensional sampling theorems for discrete transforms, whose kernels arise from second order partial difference equations.
H. A. Hassan
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Pharmacokinetics and Pharmacodynamics Models of Tumor Growth and Anticancer Effects in Discrete Time
Computational and Mathematical Biophysics, 2020 We study the h-discrete and h-discrete fractional representation of a pharmacokinetics-pharmacodynamics (PK-PD) model describing tumor growth and anticancer effects in continuous time considering a time scale h0, where h > 0.
Atıcı Ferhan M. +4 more
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