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Zbl 1196.34093
S irma, Ali; Tunç, Cemil; Özlem, Semih
Existence and uniqueness of periodic solutions for a kind of Rayleigh equation with finitely many deviating arguments.
(English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 2, 358-366 (2010). ISSN 0362-546X

Summary: We consider a class of Rayleigh equations with finitely many deviating arguments of the form $$x'' +f(t,x'(t))+\sum^n_{k=1} g_k(t,x(t-\tau_k(t))) = p(t).$$ By using the coincidence degree theory, we establish the existence and uniqueness of periodic solutions for the above equation. The results include and improve results existing in the literature.
MSC 2000:
*34K13 Periodic solutions of functional differential equations

Keywords: existence; uniqueness; periodic solution; Rayleigh equation; deviating argument

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