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New results on the periodic solutions for a kind of Rayleigh equation with two deviating arguments. (English) Zbl 1161.34345
Existence of periodic solutions for the class of equations with two deviating arguments of the form $$x''(t)+f(x'(t))+g_1(t,x(t-{\tau}_1(t)))+g_2(t,x(t-{\tau}_2(t)))=p(t)$$ is investigated. The main tools used by the authors are: the continuation theorem of the coincidence degree, a priori estimates, and differential inequalities, thus improving and generalizing previous results.

MSC:
 34K13 Periodic solutions of functional differential equations 47N20 Applications of operator theory to differential and integral equations
dde23
Full Text:
References:
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