Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function

被引：6

作者：

Xu, Youji ^{[1
]}

Tian, Weiwei ^{[1
]}

Gao, Chenghua ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou, Gansu, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

基金：

中国国家自然科学基金;

关键词：

Discrete third-order three-point boundary value problem; Positive solutions; Cone; Fixed point; Sign-changing Green's function; BOUNDARY-VALUE-PROBLEMS; STURM-LIOUVILLE PROBLEMS; SOLVABILITY;

D O I：

10.1186/s13662-019-2145-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider positive solutions and multiple positive solutions for a discrete nonlinear third- order boundary value problem {Delta(3)u(t - 1) = a(t)f(t, u(t)), t is an element of[1, T - 2](Z), Delta u(0) = u(T) = 0, Delta(2)u(eta) - alpha Delta u(T - 1) = 0, which has the sign- changing Green's function. Here T > 8 is a positive integer, [1, T - 1](Z) = {1, 2, ... , T - 2}, alpha is an element of[0, 1/T- 1), a : [0, T - 2](Z) -> (0,+infinity), f : [1, T - 2](Z) x [0,infinity)->[0,infinity) is continuous.

引用

页数：19

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