Positive solutions of second-order differential systems with nonhomogeneous boundary conditions

作     者：SUN Jin-yi YANG Bian-xia 

作者机构：Department of MathematicsNorthwest Normal UniversityLanzhou 730070China 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2012年第27卷第3期

页      面：253-267页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：nonhomogeneous boundary condition second-order differential system positive solution lowerand upper solutions Schauder fixed point theorem fixed point index 

摘      要：This paper is to investigate the positive solutions of the systems of second-order ordinary differential equations with nonhomogeneous multi-point boundary conditions. By the lower and upper solutions method, Schauder fixed point theorem and fixed point index theory, under certain conditions, it is proved that there exist appropriate regions of parameters in which the problem has at least two, at least one or no positive solution.