Title of article
New existence and multiplicity theorems of periodic solutions for non-autonomous second order Hamiltonian systems
Author/Authors
Wu، نويسنده , , Xian and Chen، نويسنده , , Shao-Xiong and Zhao، نويسنده , , Fukun، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
7
From page
550
To page
556
Abstract
In the present paper, the non-autonomous second order Hamiltonian systems (1) { u ̈ ( t ) = ∇ F ( t , u ( t ) ) , a.e. t ∈ [ 0 , T ] u ( 0 ) − u ( T ) = u ̇ ( 0 ) − u ̇ ( T ) = 0 , are studied and a new existence theorem and a new multiplicity theorem of periodic solutions are obtained.
Keywords
critical point , Periodic Solution , Second order Hamiltonian system , Sobolev’s inequality
Journal title
Mathematical and Computer Modelling
Serial Year
2007
Journal title
Mathematical and Computer Modelling
Record number
1594609
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