Acta mathematica scientia, Series B >
MULTIPLE SOLUTIONS FOR NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS
Received date: 2006-04-29
Revised date: 2008-09-26
Online published: 2010-01-20
Supported by
This research has been partially supported by the State Committee for Scientific Research of Poland (KBN) under research grants nr. 2 P03A 003 25 and nr. 4 T07A 027 26.
We study nonautonomonus second order periodic systems with a nonsmooth potential. Using the nonsmooth critical theory, we establish the existence of at least two nontrivial solutions. Our framework incorporates large classes of both subquadratic and superquadratic potentials at infinity.
Zdzislaw Denkowski , Leszek Gasinski , Nikolaos S. Papageorgiou . MULTIPLE SOLUTIONS FOR NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 341 -349 . DOI: 10.1016/S0252-9602(10)60051-3
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