一类带积分边界条件的三阶边值问题正解的存在性
Existence of Positive Solutions for Third-Order Boundary Value Problems with Integral Boundary Conditions
DOI: 10.12677/PM.2021.115101, PDF,    国家自然科学基金支持
作者: 李雯婧:西北师范大学数学与统计学院,甘肃 兰州
关键词: 单调迭代法三阶三点边值问题正解Monotone Iteration Method Third-Order Three-Point Boundary Value Problem Positive Solutions
摘要: 本文运用单调迭代法研究了三阶三点积分边值问题 正解的存在性,其中f:[0,T]×[0,+∞)→[0,+∞)连续,a:[0,T]→[0,+∞)非负连续且a(t)不恒等于零,η∈[0,T]为常数,α∈(0,1/η)。
Abstract: In this paper, by applying monotone iteration method, this article studies the existence of positive solutions for third-order three-point integral boundary value problem where f:[0,T]×[0,+∞)→[0,+∞) is continuous,a:[0,T]→[0,+∞) is nonnegatively continuous and a(t) is not identical to zero,η∈[0,T] is constant,α∈(0,1/η).
文章引用:李雯婧. 一类带积分边界条件的三阶边值问题正解的存在性[J]. 理论数学, 2021, 11(5): 882-888. https://doi.org/10.12677/PM.2021.115101

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