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Zbl 1161.34345
Huang, Chuangxia; He, Yigang; Huang, Lihong; Tan, Wen
New results on the periodic solutions for a kind of Rayleigh equation with two deviating arguments.
(English)
[J] Math. Comput. Modelling 46, No. 5-6, 604-611 (2007). ISSN 0895-7177

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.
[Gheorghe Moroşanu (Budapest)]
MSC 2000:
*34K13 Periodic solutions of functional differential equations
47N20 Appl. of operator theory to differential and integral equations

Keywords: Rayleigh equation; deviating argument; periodic solution; coincidence degree

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