×

Periodic solutions of linear and quasilinear neutral functional differential equations. (English) Zbl 0821.34070

The author uses the method of Fourier expansion to prove the existence of a periodic solution for a linear neutral functional differential equation. He establishes the same fact for quasilinear neutral functional differential equations by the use of Leray-Schauder degree theory. The results are applied to a neutral equation which contains a delay depending also on the unknown function.
Reviewer: L.Hatvani (Szeged)

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34K40 Neutral functional-differential equations
34C25 Periodic solutions to ordinary differential equations
PDFBibTeX XMLCite
Full Text: DOI