On the Solvability of Nonlinear Third-Order Two-Point Boundary Value Problems

被引：1

作者：

Agarwal, Ravi P. ^{[1
]}

Kelevedjiev, Petio S. ^{[2
]}

Todorov, Todor Z. ^{[2
]}

机构：

[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[2] Tech Univ Sliven, Dept Math, Sliven 8800, Bulgaria

来源：

AXIOMS | 2020年 / 9卷 / 02期

关键词：

third-order differential equation; boundary value problem; existence; sign conditions; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.3390/axioms9020062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under barrier strips type assumptions we study the existence of C-3[0,1]-solutions to various two-point boundary value problems for the equation x ''' = f(t,x,x ',x '').We give also some results guaranteeing positive or non-negative, monotone, convex or concave solutions.

引用

页数：9

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