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Zbl 1009.34073
Wang, Genqiang; Yan, Jurang
Existence of periodic solution for first order nonlinear neutral delay equations.
(English)
[J] J. Appl. Math. Stochastic Anal. 14, No.2, 189-194 (2001). ISSN 1048-9533; ISSN 1687-2177/e

The authors discuss the following nonlinear neutral delay equation $$ [x(t)+cx(t-\tau)]'+g(t, x(t-\sigma))=p(t), $$ with $\tau\ge 0, \sigma\ge 0$ and $|c|<1$. By using the coincidence degree theory, they derive sufficient conditions for the existence of a periodic solution to the above equation.
[Xianhua Tang (Changsha)]
MSC 2000:
*34K40 Neutral equations
34K13 Periodic solutions of functional differential equations
34C25 Periodic solutions of ODE

Keywords: nonlinear; neutral delay equation; periodic solution

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