A class of the first order impulsive dynamic equations on time scales

DOI10.1016/j.na.2007.08.052zbMath1159.34005OpenAlexW1974680110MaRDI QIDQ949705

Xiaoling Xiang, Hong Bo Liu

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.052

zbMATH Keywords

fixed pointtime scalesimpulsive differential equation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Functional-differential equations with impulses (34K45)

Related Items (22)

Nonlinear dynamic systems and optimal control problems on time scales ⋮ Existence and stability results for coupled fractional dynamic system with impulses over non-uniform time domains ⋮ Gronwall-type integral inequalities with impulses on time scales ⋮ Periodic boundary value problems for nonlinear first-order impulsive dynamic equations on time scales ⋮ Ulam stability of first-order nonlinear impulsive dynamic equations ⋮ The one-dimensional Schrödinger operator on bounded time scales ⋮ Impulsive nonlocal differential equations through differential equations on time scales ⋮ Uniformly almost periodic functions and almost periodic solutions to dynamic equations on time scales ⋮ Almost periodic solutions of shunting inhibitory cellular neural networks on time scales ⋮ On controllability and observability for a class of linear impulsive dynamic systems on time scales ⋮ Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales ⋮ Nonlinear integro-differential equations and optimal control problems on time scales ⋮ Existence, stability and controllability results of coupled fractional dynamical system on time scales ⋮ Necessary conditions of optimality for a class of optimal control problems on time scales ⋮ Positive solutions to nonlinear first-order impulsive dynamic equations on time scales ⋮ Positive solutions to PBVPs for nonlinear first-order impulsive dynamic equations on time scales ⋮ Existence and Ulam’s Type Stability of Integro Differential Equation with Non-instantaneous Impulses and Periodic Boundary Condition on Time Scales ⋮ Existence, uniqueness and stability of nonlinear implicit fractional dynamical equation with impulsive condition on time scales ⋮ Unnamed Item ⋮ Results on abstract integro hybrid evolution system with impulses on time scales ⋮ Nonlinear dynamic equations on time scales with impulses and nonlocal conditions ⋮ Stability and controllability for Volterra integro-dynamical matrix Sylvester impulsive system on time scales

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