Title of article
Existence and multiplicity of periodic solution for non-autonomous second-order systems with linear nonlinearity Original Research Article
Author/Authors
Fukun Zhao، نويسنده , , Xian Wu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
11
From page
325
To page
335
Abstract
The purpose of this paper is to study the existence and multiplicity of periodic solution for the following non-autonomous second-order systems:
View the MathML sourceu¨(t)=∇F(t,u(t))a.e.t∈[0,T],u(0)-u(T)=u˙(0)-u˙(T)=0.
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Some new existence and multiplicity theorems are obtained by using the least action principle and the minimax method.
Keywords
Periodic solution , Non-autonomous second-order systems , Sobolevיs inequality , Wirtingerיs inequality , (PS) condition
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2005
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858784
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