Existence and uniqueness of ({\omega},c)-periodic solutions of semilinear evolution equations
Makrina Agaoglou, Michal Feckan, and Angeliki P. Panagiotidou
TL;DR
This paper investigates the conditions under which ({\omega},c)-periodic solutions exist and are unique for semilinear evolution equations in complex Banach spaces, contributing to the understanding of periodic behaviors in such systems.
Contribution
It establishes new criteria for the existence and uniqueness of ({\omega},c)-periodic solutions in semilinear evolution equations within complex Banach spaces.
Findings
Proved existence of ({\omega},c)-periodic solutions under certain conditions.
Demonstrated uniqueness of these solutions in specified settings.
Provided a framework for analyzing periodic solutions in complex Banach spaces.
Abstract
In this work we study the existence and uniqueness of ({\omega},c)-periodic solutions for semilinear evolution equations in complex Banach spaces.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Differential Equations and Numerical Methods