含泛函边界条件的射线上边值问题的正解
Positive solutions of BVPs on the half-line involving functional BCs
摘要：
研究了一类二阶常微分方程在泛函边界条件下在射线上正解的存在性。我们的方法依赖于紧区间上的算子的不动点指数，非紧集上的算子的不动点结果，以及适当的辅助线性方程的主解和非主解的一些比较结果之间的组合。
英文摘要：
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.
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