Results 1 to 10 of about 684 (97)
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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New Oscillation Criteria for Half-Linear Second-Order Neutral Advanced Difference Equations
International Journal of Differential Equations, 2021 We obtained oscillation criteria for the second-order half-linear neutral advanced difference equations of the kind ∆(α(ζ)(∆w(ζ))) + η(ζ)y(ζ + κ) = 0; ζ ≥ ζ0, where w(ζ) = y(ζ) + p(ζ)y(ζ + ξ).
P. Selvakumar +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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International Journal of Differential Equations, 2021 We derive oscillatory conditions for the second-order delay difference equation ∆ ( φ(ζ)(∆v(ζ)) ) + μ(ζ)x(η(ζ)) = 0; ζ ≥ ζ0, where v(ζ) = x(ζ) + ∑m i=1 pi(ζ)x i(κi(ζ)). We investigate oscillatory behavior for the cases when ξ > ν and ξ < ν.
C. Rajan +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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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, 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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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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Nonlinear dynamic equations on time scales with impulses and nonlocal conditions
, 2020 The purpose of this paper is to introduce more general results on the existence of solutions for nonlinear dynamic equations on time scales with impulses and nonlocal initial conditions.
Sanket Tikare, C. Tisdell
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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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