二阶离散边值问题的多重解  

Multiplicity of Solutions for Some Second Order Discrete Boundary Value Problems

作　　者：覃舟[1] 刘进生[1] 

机构地区：[1]太原理工大学理学院,太原030024

出　　处：《太原理工大学学报》2010年第2期212-214,共3页Journal of Taiyuan University of Technology

摘　　要：利用一个临界点存在性定理,结合上下解方法,获得了该边值问题有解的新的充分条件,并证明了一类二阶非线性离散边值问题至少存在四个解。This article is concerned with the multiplicity of solutions for some second order discrete boundary value problems.We use a critical point existence theorem and the method of the supersolution and subsolution to give some new sufficient conditions and to prove the existance of at least four solutions for the second order discrete boundary value problems.

关 键 词：离散边值问题 临界点 上下解 

分 类 号：O175[理学—数学]