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Periodic solutions to second order nonautonomous differential systems with unbounded nonlinearities
Authors:Zhiqing Han
Institution:Department of Applied Mathematics, Dalian University of Technology, Dalian 116023, Liaoning, P. R. China
Abstract:We investigate the existence of periodic solutions of differential systems with a skew‐symmetric matrix term and unbounded nonlinearities. Under new generalized Ahmad‐Lazer‐Paul conditions, some existence results are obtained and some results in the literature are improved.
Keywords:Second order system  Ahmad‐Lazer‐Paul type condition  saddle point theorem  MSC (2010) 58F22
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