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一类四阶偏差分方程边值问题解的存在性 被引量：1

Existence of Solutions for a Class of Four-order Partial Difference Equations with Boundary Value Problems
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摘要 建立一类四阶偏差分方程边值问题的变分结构,并利用临界点的方法研究了此类方程解的存在性,分别得到存在1个解和2个解的若干充分条件. We set the variational structure of a class of four-order partial difference equations, the critical point theory is employed to establish the existence of solutions for the equations, and then we get some sufficient conditions of the existence of one and two solutions.
作者 司文艺 侯成敏
机构地区 延边大学理学院数学系
出处 《延边大学学报（自然科学版）》 CAS 2010年第1期1-6,共6页 Journal of Yanbian University（Natural Science Edition）
基金 国家自然科学基金资助项目(10661011)
关键词 四阶 偏差分方程 边值问题 临界点 存在性 four-order partial difference equations boundary value problems critical point theory existence
分类号 O241.3 [理学—计算数学]
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参考文献8

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二级参考文献2

共引文献3

同被引文献7

  • 1Cabada A,Iannizzotto A,Tersian S.Multiple solutions for discrete boundary value problems[J].J Math Anal Appl,2009,356:418-428.
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  • 4Lannizzotto A,Tersian S A.Multiple homoclinic solutions for the discrete p-Laplacian via critial point theory[J].J Math Anal Appl,2013,403:173-182.
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  • 7Pucci P,Serrin J.A mountain pass theorem[J].J Differential Equations,1985,60:142-149.

引证文献1

延边大学学报（自然科学版）
2010年 第1期

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