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Infinitely many fast homoclinic solutions for some second-order nonautonomous systems

Infinitely many fast homoclinic solutions for some second-order nonautonomous systems

We investigate the existence of infinitely many fast homoclinic solutions for a class of second-order nonautonomous systems. Our main tools are based on the variant fountain theorem. A criterion guaranteeing that the second-order system has infinitely many fast homoclinic solutions is obtained. Rece...

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Bibliographic Details
Main Authors: Yang, Liu, Luo, Liping, Luo, Zhenguo
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165985
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Summary:We investigate the existence of infinitely many fast homoclinic solutions for a class of second-order nonautonomous systems. Our main tools are based on the variant fountain theorem. A criterion guaranteeing that the second-order system has infinitely many fast homoclinic solutions is obtained. Recent results from the literature are generalized and significantly improved.

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