二阶共振多点边值问题正解的存在性  

Existence of Positive Solutios for Second Order Multi-point Boundary Value Problems at Resonance

作　　者：沈春芳[1] 

机构地区：[1]合肥师范学院数学系,安徽合肥230601

出　　处：《应用数学》2011年第1期195-203,共9页Mathematica Applicata

基　　金：安徽省教育厅高校自然科学研究项目(Kj2010B163)

摘　　要：在不同共振条件下研究一类二阶非线性微分方程多点边值问题正解的存在性.利用范数形式的Leggett-Williams不动点定理,给出了问题正解的存在性结果,所得结论不同于已有文献.In the paper we consider existence of positive solutions for a kind of second-order multi-point boundary value problem with different resonance conditions. By using normtype Leggett-Williams theorem, we establish the existence results, which is different with known results.

关 键 词：多点边值问题 共振 正解 锥 不动点 

分 类 号：O175.8[理学—数学]