Coincidence Degree and Periodic Solutions of Neutral Equations,
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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The paper is devoted to the problem of existence of periodic solutions for some nonautonomous neutral functional differential equations. It is essentially an application of a basic theorem on the Fredholm alternative for periodic solutions of some linear neutral equations recently obtained by one of the authors and of a generalized Leray-Schauder theory developed by the second one. Although their proofs are surprisingly simple, the obtained results are nontrivial extensions to the neutral case of a number of recent existence theorems for periodic solutions of functional differential equations.
- Theoretical Mathematics