Existence of solutions of nonlinear third-order two-point boundary value problems

被引：7

作者：

Kelevedjiev, Petio S. ^{[1
]}

Todorov, Todor Z. ^{[1
]}

机构：

[1] Tech Univ Sofia, Branch Sliven, 59 Bourgasko Shose Blvd, Sliven 8800, Bulgaria

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2019年 / 23期

关键词：

third-order differential equation; boundary value problem; existence; positive or non-negative; monotone; convex or concave solutions; sign conditions; POSITIVE SOLUTIONS; SOLVABILITY; UNIQUENESS; FLOWS; 3RD;

D O I：

10.14232/ejqtde.2019.1.23

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study various two-point boundary value problems for the equation x ''' = f (t, x, x', x ''). Using barrier strips type conditions, we give sufficient conditions guaranteeing positive or non-negative, monotone, convex or concave C-3[0,1]-solutions.

引用

页码：1 / 15

页数：15

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