Existence of Solutions for a Class of Third-Order Nonlinear Boundary Value Problem

被引：1

作者：

Kelevedjiev, P. ^{[1
]}

Popivanov, N. ^{[2
]}

Bekesheva, L. ^{[3
]}

机构：

[1] Tech Univ Sofia, Branch Sliven, Dept Math, Sofia, Bulgaria

[2] St Kl Ohridski Univ Sofia, Fac Math, Sofia, Bulgaria

[3] Aktobe Reg State Univ, Fac Math & Phys, Aktobe, Kazakhstan

来源：

41ST INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'15) | 2015年 / 1690卷

关键词：

POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; UNIQUENESS; FLOWS;

D O I：

10.1063/1.4936723

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

Using a global existence result due to A. Granas et al. [7] and the barrier strips technique, we study the solvability of the boundary value problem x('") = f(t, x, x', x ''), x(0) = A, x'(0) = B, x"(1) = C where f :[0,1] x R-3 -> R is continuous. The obtained sufficient conditions guarantee the existence of at least one solution in C-3 [0,1] which may be nonnegative, monotone and convex.

引用

页数：5

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