×

zbMATH — the first resource for mathematics

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

MSC:
34K40 Neutral functional-differential equations
34K13 Periodic solutions to functional-differential equations
34C25 Periodic solutions to ordinary differential equations
PDF BibTeX XML Cite
Full Text: DOI EuDML