PORTUGALIAE MATHEMATICA Vol. 57, No. 2, pp. 153160 (2000) 

Existence Theorem of Periodic Positive Solutions for The Rayleigh Equation of Retarded TypeGenqiang Wang and Jurang YanDepartment of Mathematics, Hanshan Teacher's College,Chaozhou, Guangdong 521041  PEOPLE'S REPUBLIC OF CHINA Department of Mathematics, Shanxi University, Taiyuan, Shanxi 030006  PEOPLE'S REPUBLIC OF CHINA Abstract: In this paper, by using the coincidence degree theory, we give four sufficient conditions on the existence of periodic positive solutions of the following nonautonomous Rayleigh equation of retarded type $$ x''+f(t,x'(t\sigma))+g(t,x(t\tau))=p(t). $$ Keywords: Coincidence degree; Rayleigh equation; periodic positive solution. Classification (MSC2000): 34K15. Full text of the article:
Electronic version published on: 31 Jan 2003. This page was last modified: 27 Nov 2007.
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