Remarks on homoclinic solutions for semilinear fourth-order ordinary differential equations without periodicity

作     者：LI Cheng-yue 

作者机构：Dept. of Math. Central Univ. for Nationalities Beijing 100081 China 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2009年第24卷第1期

页      面：49-55页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程] 

基　　金：The Project sponsored by SRF for ROCS, SEM "985 Engineer" of China (CUN 985-3-3) 

主　　题：homoclinic solution Mountain Pass Lemma Extended Fisher-Kolmogorov (EFK) equation Swift-Hohenberg (SH) equation 

摘      要：This paper mainly discusses the existence of nontrivial homoclinic solutions for nonperiodic semilinear fourth-order ordinary differential equation u^（4）＋pu″＋a（x）u-b（x）u^2=c（x）u^3=3 arising in the study of pattern formation by means of Mountain Pass Lemma.