Nontrivial Homoclinic Solutions for Second-Order p-Laplacian Differential System with Impulsive Effects  

作　　者：郭佳 戴斌祥 

机构地区：[1]School of Mathematics and Statistics,Central South University

出　　处：《Journal of Donghua University(English Edition)》2014年第1期25-32,共8页东华大学学报（英文版）

基　　金：National Natural Science Foundations of China(No.11271371,No.10971229)

摘　　要：The existence of homoclinic solutions for the second-order p-Laplacian differential system( ρ( t) Φp( u'( t))) '-s( t) Φp( u( t))+ λf( t,u( t)) = 0 with impulsive effects Δ( ρ( tj) Φp( u'( tj))) = Ij( u( tj)) is studied. By using three critical points theorem and variational methods, the sufficient condition is established to guarantee that this p-Laplacian differential system with impulsive effects has at least one nontrivial homoclinic solution. Besides,an example is presented to illustrate the main result in the end of this paper.The existence of homocliaic solutions for the second-order p-Laplacian differential system （p （ t ） φp （ u＇ （t） ） ）＇ - s （ t ） φp （ u （ t ） ） ＋ λf（ t, u（ t） ） =0 with impulsive effects A（p（ tj ） φp （u＇（tj） ） ） = Ij （u （tj）） is studied. By using three critical points theorem and variational methods, the sufficient condition is established to guarantee that this p-Laplacian differential system with impulsive effects has at least one nontrivial bomoclinic solution. Besides, an example is presented to illustrate the main result in the end of this paper.

关 键 词：homoclinic solutions p-Laplacian system critical point impulsive effects 

分 类 号：O29[理学—应用数学]