Remarks on homoclinic solutions for semilinear fourth-order ordinary differential equations without periodicity |
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| Authors: | Cheng-yue Li |
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| Affiliation: | Dept. of Math., Central Univ. for Nationalities, Beijing 100081, China |
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| Abstract: | This paper mainly discusses the existence of nontrivial homoclinic solutions fornonperiodic semilinear fourth-order ordinary differential equationu(4) + pu″+ a(x)u - b(x)u2 - c(x)u3 = 0arising in the study of pattern formation by means of Mountain Pass Lemma. |
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| Keywords: | homoclinic solution Mountain Pass Lemma Extended Fisher-Kolmogorov (EFK) equation Swift-Hohenberg (SH) equation |
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