Pseudo almost periodic solution for some differential equations with piecewise constant argument and applications (Q6550961)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Pseudo almost periodic solution for some differential equations with piecewise constant argument and applications |
scientific article; zbMATH DE number 7860604
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pseudo almost periodic solution for some differential equations with piecewise constant argument and applications |
scientific article; zbMATH DE number 7860604 |
Statements
Pseudo almost periodic solution for some differential equations with piecewise constant argument and applications (English)
0 references
5 June 2024
0 references
The aim of this paper is to prove the existence and uniqueness of a doubly measures pseudo periodic solution for some nonlinear evolution equation with piecewise constant argument. The system is governed by a linear part that generates an exponentially \(C_0\) -semigroup. The piecewise part is governed by a bounded linear operator. The nonlinear input function is assumed to be doubly measures pseudo periodic solution and globally Lipschitz. The authors use the fact that the \(C_0\)-semigroup is exponentially stable and Banach's fixed to prove the main results of this work. The same main theorem is obtained for some neutral evolution equations.
0 references
pseudo almost periodic
0 references
measure theory
0 references
piecewise constant argument
0 references
fixed point theorem
0 references
0 references
0 references
0 references
0 references
0 references
0 references
