Whole Line Solutions to Abstract Functional Differential Equations
Dynamical Systems
2017-03-20 v1 Functional Analysis
Abstract
In the underlying study it is shown how the linear method of the Yosida-approximation of the derivative applies to solve possibly nonlinear and multivalued functional differential equations like: \begin{eqnarray*} u^\prime(t) &\in& A(t,u_t)u(t) +\omega u(t), \ t \in \mathbb{R} \end{eqnarray*} Furthermore, in the case of finite and infinite delay we give an answer about whether the solution is bounded, periodic, almost periodic, or some kind of almost automorphy.
Cite
@article{arxiv.1702.08031,
title = {Whole Line Solutions to Abstract Functional Differential Equations},
author = {Josef Kreulich},
journal= {arXiv preprint arXiv:1702.08031},
year = {2017}
}
Comments
11 page. arXiv admin note: text overlap with arXiv:1702.08028