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Zbl 0735.34066
Serra, Enrico
Periodic solutions for some nonlinear differential equations of neutral type. (English)
[J] Nonlinear Anal., Theory Methods Appl. 17, No.2, 139-151 (1991). ISSN 0362-546X

The main results of the paper deal with the existence of periodic solutions of the problem $x'(t)+ax'(t-\tau)=f(t,x(t))$, $x$ $2\pi$- periodic, where $f:\bbfR\times\bbfR\to\bbfR$ is Carathéodory, $f(\cdot,y)$ is $2\pi$-periodic for $x$, $a\in\bbfR$ and $\tau\in(0,2\pi)$. All existence theorems are considered corresponding to one from the following two cases $\vert a\vert<1$ and $\vert a\vert=1$.
[M.Kisielewicz (Zielona Góra)]

MSC 2000:: *34K40 Neutral equations
34C25 Periodic solutions of ODE
34K99 Functional-differential equations

Keywords: neutral functional-differential equations; existence of periodic solutions

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