一类带非线性边界条件的二阶半正问题正解的存在性
Existence of Positive Solutions for a Classof Second Order Semi-Positone Prob
DOI: 10.12677/PM.2022.128150, PDF, HTML, 下载: 244  浏览: 423  国家自然科学基金支持
作者: 石轩荣:西北师范大学,数学与统计学院,甘肃 兰州
关键词: 正解半正问题非线性边界条件Krasnoselskii不动点定理Positive Solutions Semi-Positone Problem Nonlinear Boundary Condition Krasnoselskii Fixed Point Theorem
摘要: 本文研究了二阶半正问题正解的存在性,其中λ为正参数,α,δ>0,β≥0为常数,c∈C([0,∞),[0,∞)),h∈C([0,1],[0,∞),f∈C([0,∞),ℝ)且f>-M(M>0),通过运用Krasnoselskii不动点定理证明了存在常数λ0 >0,当0<λ<λ0时,问题(P)存在一个正解。
Abstract: We are concerned with existence of positive solutions for the second order semi-positone problem where λ is a positive parameter,α,δ>0,β≥0, c∈C([0,∞),[0,∞)),h∈C([0,1],[0,∞),f∈C([0,∞),ℝ) and f>-M(M>0) By using fixed point theorem of Krasnoselskii, we prove that there exists λ0 > 0 such that (P) has a positive solution for 0<λ<λ0.
文章引用:石轩荣. 一类带非线性边界条件的二阶半正问题正解的存在性[J]. 理论数学, 2022, 12(8): 1370-1380. https://doi.org/10.12677/PM.2022.128150

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