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

Remarks on homoclinic solutions for semilinear fourth-order ordinary differential equations without periodicity
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DOI:
10.1007/s11766-009-1948-z
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发表时间:
2009-03
期刊:
Applied Mathematics-A Journal of Chinese Universities
影响因子:
--
通讯作者:
Chengyue Li
Chengyue Li
中科院分区:
其他
文献类型:
--
作者:
Chengyue Li

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本文主要讨论利用Mountain Pass引理研究模式形成过程中产生的非周期半线性四阶常微分方程非平凡同宿解的存在性。
This paper mainly discusses the existence of nontrivial homoclinic solutions for nonperiodic semilinear fourth-order ordinary differential equationarising in the study of pattern formation by means of Mountain Pass Lemma.