吉林大学学报（理学版）2025，Vol.63Issue(5)：1239-1246,8.DOI:10.13413/j.cnki.jdxblxb.2024534
一类一阶半正周期边值问题正解的存在性
Existence of Positive Solutions for a Class of First-Order Semi-positone Preiodic Boundary Value Problems
摘要
Abstract
The author considers the existence of positive solutions for the first-order semi-positone problem{—u′(t)+a(t)u(t)=λf(t,u(t)),t ∈(0,T),u(0)=u(T),where λ is a positive parameter,a∈C([0,T],R),f∈C([0,T]×[0,∞),R),f(t,0)＜0,and limu→∞f(t,u)/u=∞.Based on the fixed point theorem of Krasnoselskill,the author proves that there exists λ*＞0,such that the problem has at least one solution when 0＜λ＜λ*.关键词
周期边值问题/半正/不定权/正解/Krasnoselskill不动点定理Key words
periodic boundary value problem/semi-positone/discretion/positive solution/fixed point theorem of Krasnoselskill分类
数理科学引用本文复制引用
王玉芳..一类一阶半正周期边值问题正解的存在性[J].吉林大学学报（理学版）,2025,63(5):1239-1246,8.基金项目
国家自然科学基金(批准号:12061064). （批准号:12061064）
