一类含一阶导数的三阶边值问题正解的存在性
Existence of Positive Solutions for a Class of Third-Order Boundary Value Problems with First Derivative
DOI: 10.12677/PM.2021.112032, PDF,   
作者: 赵 娇：西北师范大学数学与统计学院，甘肃 兰州
关键词: 三阶ODE；主特征值；分歧；正解；Three-Order ODE； Principle Eigenvalue； Bifurcation； Positive Solution
摘要: 考虑一类含一阶导数的三阶常微分方程(ordinary differential equation，简称ODE)边值问题其中λ>0是一个参数，0<η<1且1<α<1/η为常数。f(t,u,p):[0,1]×[0,∞)×[0,∞)→[0,∞)为连续函数，且f(t,0,0)=0。主要结果的证明基于全局分歧理论。
Abstract: This paper considers existence of positive solutions for a class of third-order ordinary differential equations boundary value problems with first derivative  where λ is a positive parameter, 0<η<1 and 1<α<1/η are given constants. f(t,u,p):[0,1]×[0,∞)×[0,∞)→[0,∞) is a continuous function, and f(t,0,0)=0. The proof of the main results is based upon global bifurcation techniques.
文章引用：赵娇. 一类含一阶导数的三阶边值问题正解的存在性[J]. 理论数学, 2021, 11(2): 237-247. https://doi.org/10.12677/PM.2021.112032

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