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Zbl 1145.34038
Liu, Bingwen
Existence and uniqueness of periodic solutions for a kind of Rayleigh equation with two deviating arguments.
(English)
[J] Comput. Math. Appl. 55, No. 9, 2108-2117 (2008). ISSN 0898-1221

Summary: We consider a class of Rayleigh equations with two deviating arguments of the form $$x^{\prime\prime }+f(t,x^{\prime }(t))+g_{1}(t,x(t - \tau _{1}(t)))+g_{2}(t,x(t - \tau _{2}(t)))=p(t).$$ By using the coincidence degree theory, we establish new results on the existence and uniqueness of periodic solutions for the above equation.
MSC 2000:
*34K13 Periodic solutions of functional differential equations

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

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