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一类四阶两点边值问题的多重正解
引用本文:李万军. 一类四阶两点边值问题的多重正解[J]. 陇东学院学报(社会科学版), 2011, 0(6)
作者姓名:李万军
作者单位:陇东学院数学与统计学院;
摘    要:讨论一类两参数四阶两点边值问题,利用锥上的不动点指标理论及拓扑度方法,在一定条件下得到了该问题多重正解的存在性.

关 键 词:四阶两点边值问题  正解  多解    不动点指数  

Multiple Positive Solutions of Forth-Order Two-Point Boundary Value Problem
LI Wan-jun. Multiple Positive Solutions of Forth-Order Two-Point Boundary Value Problem[J]. Journal of Longdong University(Social Science Edition), 2011, 0(6)
Authors:LI Wan-jun
Affiliation:LI Wan-jun(College of Mathematics and Statistics,Longdong University,Qingyang 745000,Gansu,China)
Abstract:This paper is devoted to study the existence of multiple positive solutions of the forth-order two-point boundary value problem with two-parameter.Through applying fixed point index and topological degree method,the multiplicity of solutions of Forth-Oder Two-Point Boundary Value Problem can be proved to exist under suitable conditions.
Keywords:Forth-Order Two-point BVP  positive solution  multiple solutions  cone  fixed point index  
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