论文标题
BVP在涉及功能BCS的半线上的阳性解决方案
Positive solutions of BVPs on the half-line involving functional BCs
论文作者
论文摘要
我们研究了受功能边界条件的二阶普通微分方程的半线的阳性溶液的存在。我们的方法依赖于紧凑间隔的操作员的固定点索引之间的组合,非绘制集合的操作员的固定点结果,以及合适的辅助线性方程的主体和非本质解决方案的一些比较结果。
We study the existence of positive solutions on the half-line of a second order ordinary differential equation subject to functional boundary conditions. Our approach relies on a combination between the fixed point index for operators on compact intervals, a fixed point result for operators on noncompact sets, and some comparison results for principal and nonprincipal solutions of suitable auxiliary linear equations.