Almost Periodic Solutions of Evolution Differential Equations with Impulsive Action
Viktor Tkachenko
TL;DR
This paper investigates conditions under which almost periodic solutions exist for semi-linear impulsive differential equations in Banach spaces, considering both fixed and variable impulsive moments.
Contribution
It provides new criteria for the existence of almost periodic solutions in impulsive differential equations with non-fixed impulsive moments.
Findings
Established sufficient conditions for almost periodic solutions.
Extended the theory to impulsive actions at non-fixed moments.
Applied the results to specific classes of differential equations.
Abstract
In an abstract Banach space we study conditions for the existence of piecewise continuous, almost periodic solutions for semi-linear impulsive differential equation with fixed and non-fixed moments of impulsive action
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Differential Equations and Numerical Methods