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-  2015 

一类二阶非线性差分方程同宿解的多解性
Multiple homoclinic solutions for second order nonlinear difference equations

DOI: 10.6040/j.issn.1671-9352.0.2014.241

Keywords: 差分方程,Nehari流形,临界点理论,同宿解,
difference equations
,Nehari manifold,critical point theory,homoclinic solutions

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Abstract:

摘要: 研究了一类二阶非线性差分方程同宿解的存在性。利用临界点理论, 在满足更一般的超线性条件下, 证明了该方程同宿解的多解性。
Abstract: We study the existence of homoclinic solutions for a class of second order nonlinear difference equations. Under more general superlinear conditions, we prove the multiplicity results of the equations by using critical point theory

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