Oscillation of impulsive partial difference equations with continuous variables

Oscillation of solutions of impulsive neutral difference equations with continuous variable

We obtain sufficient conditions for oscillation of all solutions of the neutral impulsive difference equation with continuous variable Δτ(y(t) +P(t)y(t−mτ)) +Q(t)y(t− lτ)= 0, t ≥ t0− τ, t = tk, y(tk + τ)− y(tk)= bk y(tk), k ∈N(1), where Δτ denotes the forward difference operator, that is, Δτz(t)= z(t+ τ)− z(t), P(t)∈ C([t0− τ,∞),R ),Q(t)∈ C([t0− τ,∞),(0,∞)),m, l are positive integers, τ > 0 and...

Forced Oscillation of Neutral Impulsive Parabolic Partial Differential Equations with Continuous Distributed Deviating Arguments

This paper investigated oscillatory properties of solutions for nonlinear parabolic equations with impulsive effects under two different boundary conditions. By using integral averaging method, variable substitution and functional differential inequalities, we established several sufficient conditions. At last, we provided two examples to illustrate the results.

Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables

Asymptotic behavior of impulsive non-autonomous delay difference equations with continuous variables

* Correspondence: danhuahe@zisu. edu.cn Department of Mathematics, Zhejiang International Studies University, Hangzhou, 310012, P. R. China Full list of author information is available at the end of the article Abstract In this article, a class of impulsive non-autonomous delay difference equations with continuous variables is considered. By establishing a delay difference inequality with impul...

Oscillation of the systems of impulsive hyperbolic partial differential equations

The systems of impulsive hyperbolic partial differential equations with Robin boundary value condition are investigated. Several new sufficient conditions of oscillation for such systems are established by employing impulsive differential inequalities and integration.