Existence of periodic solution for first order nonlinear neutral delay equations. (English) Zbl 1009.34073

Wang, Genqiang; Yan, Jurang

J. Appl. Math. Stochastic Anal. 14, No. 2, 189-194 (2001).

The authors discuss the following nonlinear neutral delay equation \[ [x(t)+cx(t-\tau)]'+g(t, x(t-\sigma))=p(t), \] with \(\tau\geq 0, \sigma\geq 0\) and \(|c|<1\). By using the coincidence degree theory, they derive sufficient conditions for the existence of a periodic solution to the above equation.

Reviewer: Xianhua Tang (Changsha)

MSC:

34K40	Neutral functional-differential equations
34K13	Periodic solutions to functional-differential equations
34C25	Periodic solutions to ordinary differential equations

Keywords:

nonlinear; neutral delay equation; periodic solution