Title of article :
Saddle point reduction method for some
non-autonomous second order systems ✩
Author/Authors :
Fukun Zhao ? and Xian Wu، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2004
Abstract :
The purpose of this paper is to study the existence of solutions with saddle point character for
non-autonomous second order systems
¨u(t )=∇F(t ,u(t )), a.e. t ∈ [0,T ],
u(0) −u(T )= ˙u(0)− ˙u(T ) = 0.
Some new solvability conditions are obtained.
2003 Elsevier Inc. All rights reserved.
Keywords :
Non-autonomous second order systems , Saddle point , Sobolev’s inequality , critical point , Wirtinger’s inequality
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications