非线性项依赖于导数的奇异半正非局部边值问题正解的存在性

The Existence of Positive Solutions for Singular Semi-Positive Non-Local Boundary Value Problems with Nonlinear Term Depending on Derivatives

摘要:

考虑奇异半正非局部边值问题

Abstract: 其中 ， ；A，B为有界变差函数； ， ；非线性项 是连续的，它依赖于导数 并且是可变号的。本文根据不动点指数理论，讨论得到对于上述问题的多个正解的存在性结果。 In this paper, we consider the singular semi-positive non-local boundary value problem where , ; A and B are bounded variation functions; , ; the nonlinear item is continuous and it is allowed to change the sign. Based on the fixed point index theory, this paper studies the existence of multiple positive solutions to the above problem.

文章引用：赵宇, 于秀洁. 非线性项依赖于导数的奇异半正非局部边值问题正解的存在性[J]. 应用数学进展, 2018, 7(8): 1028-1039. https://doi.org/10.12677/AAM.2018.78120

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