%0 Journal Article %T 一类二阶非线性差分方程同宿解的多解性<br>Multiple homoclinic solutions for second order nonlinear difference equations %A 孙国伟 %A 买阿丽< %A br> %A SUN Guo-wei %A MAI A-li %J 山东大学学报(理学版) %D 2015 %R 10.6040/j.issn.1671-9352.0.2014.241 %X 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。<br>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 %K 差分方程 %K Nehari流形 %K 临界点理论 %K 同宿解 %K < %K br> %K difference equations %K Nehari manifold %K critical point theory %K homoclinic solutions %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.241