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

被引：0

作者：

LI Cheng-yue Dept. of Math.

机构：

来源：

Applied Mathematics:A Journal of Chinese Universities | 2009年 / 01期

关键词：

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

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This paper mainly discusses the existence of nontrivial homoclinic solutions for nonperiodic semilinear fourth-order ordinary differential equationu(4) + pu + a(x)u-b(x)u2-c(x)u3 = 0 arising in the study of pattern formation by means of Mountain Pass Lemma.

引用

页码：49 / 55

页数：7

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[J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2009, 24 (01) : 49 - 55
[2] Remarks on homoclinic solutions for semilinear fourth-order ordinary differential equations without periodicity
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