Accession Number : AD0759562

Title :   Coincidence Degree and Periodic Solutions of Neutral Equations,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Hale,Jack K. ; Mawhin,Jean

Report Date : APR 1973

Pagination or Media Count : 23

Abstract : 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.

Descriptors :   (*FUNCTIONAL ANALYSIS, *DIFFERENTIAL EQUATIONS), TOPOLOGY, INTEGRAL EQUATIONS, THEOREMS, NUMERICAL INTEGRATION

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE