
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 LeraySchauder 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