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Zbl 1232.34065
Chu, Jifeng; Fan, Ning; Torres, Pedro J.
Periodic solutions for second order singular damped differential equations. (English)
[J] J. Math. Anal. Appl. 388, No. 2, 665-675 (2012). ISSN 0022-247X

Summary: We study the existence of positive periodic solutions for second order singular damped differential equations by combining the analysis of the sign of Green's functions for the linear damped equation, together with a nonlinear alternative principle of Leray-Schauder. Recent results in the literature are generalized and significantly improved.
MSC 2000:
*34C25 Periodic solutions of ODE

Keywords: periodic solution; singular damped differential equation; Green's function; Leray; Schauder alternative principle

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