二阶非线性积-微分方程边值问题正解的存在性与多解性

Existence and Multiplicity of Positive Solutions for Nonlinear Second Order Boundary Value Problems for Integro-differential Equations

对非线性二阶积-微分方程边值问题正解的存在性进行了研究,利用锥压缩与锥拉伸不动点定理获得该问题正解的存在性和多个正解的存在性.

The existence of positive solution for second order boundary value problems of integro-differentail equations is discussed.We obtain the existence and multiplicity results of positive solutions by employing the fixed-point theorem of cone expansion or compression type.