Whole Line Solutions to Abstract Functional Differential Equations

Autor: Kreulich, Josef
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 11 page. arXiv admin note: text overlap with arXiv:1702.08028
Databáze: arXiv