Zhang, Meirong Periodic solutions of linear and quasilinear neutral functional differential equations. (English) Zbl 0821.34070 J. Math. Anal. Appl. 189, No. 2, 378-392 (1995). 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) Cited in 1 ReviewCited in 58 Documents 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 Keywords:Fourier expansion; periodic solution; linear neutral functional differential equation; Leray-Schauder degree theory PDFBibTeX XMLCite \textit{M. Zhang}, J. Math. Anal. Appl. 189, No. 2, 378--392 (1995; Zbl 0821.34070) Full Text: DOI