Oscillation of a class of delay partial difference equations

Zhang, Bing Gen; Liu, Shu Tang; Cheng, Sui Sun

doi:10.1080/10236199508808022

Cited by 54 publications

(18 citation statements)

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“…For the existence and uniqueness of solutions of initial and boundary problem (1.10), (1.6) and (1.7), one is referred to Shi, Wang and Yu [8] and Zhang, Liu and Cheng [12] for the similar method or simply by iterative calculation.…”

Section: Theorem 15 Assume That For Any Infinite Sequence Of Disjoinmentioning

confidence: 99%

Asymptotic behavior for non-oscillatory solutions of difference equations with several delays in the neutral term

Shi

Zeng

2008

J. Appl. Math. Comput.

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In this paper, we first consider difference equations with several delays in the neutral term of the form ⎛study various cases of coefficients in the neutral term and obtain the asymptotic behavior for non-oscillatory solution of ( * ) under some hypotheses. Moreover, we consider reaction-diffusion difference equations with several delays in the neutral term of the formr j u n−ρ j ,m ⎞ ⎠ + q n,m u n−τ,m = a 2 2 2 u n+1,m−1 for (n, m) ∈ Z + (0) × , study various cases of coefficients in the neutral term and obtain the asymptotic behavior for non-oscillatory solution under some hypotheses.

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Section: Theorem 15 Assume That For Any Infinite Sequence Of Disjoinmentioning

confidence: 99%

Asymptotic behavior for non-oscillatory solutions of difference equations with several delays in the neutral term

Shi

Zeng

2008

J. Appl. Math. Comput.

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“…Such equations arise in the investigation of random-walk problems, molecular-structure problems [1], numerical difference approximation problems [2], etc. Recently, oscillation problems for partial difference equations with invariable coefficients and discrete variables have been investigated in [3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Oscillation of a class of nonlinear partial difference equations with continuous variables

Guo

Liu

et al. 2011

Nonlinear Oscill

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“…In the last few years, many mathematicians have been studying difference systems. But only a few studies (see [7,14,22]) are devoted to partial difference equations and Volterra difference equations; we [14] considered the stability for neutral Volterra difference equations. Our aim in this paper is to obtain sufficient conditions, which are "sharp" in some sense, for the square-summable stability and (^-square-summable stability in parabolic Volterra difference equations of neutral type.…”

Section: -1 00mentioning

confidence: 99%