On boundary value problems for an nth-order equation

被引：1
|
作者：
Vasil'ev, N. I. [1 ]
Lepin, A. Ya. [1 ]
Lepin, L. A. [1 ]
机构：
[1] Latvian State Univ, Inst Math & Comp Sci, LV-1063 Riga, Latvia
来源：
DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 02期
关键词：
Compactness Condition; Nonlinear Boundary; Monotonicity Condition; Nonlinear Boundary Condition; Odory Condition;
D O I：
10.1134/S0012266110020035
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For an nth-order differential equation with right-hand side satisfying the Carath,odory conditions, we consider a two-point boundary value problem with boundary conditions of which the first two have a general form and the remaining conditions are simplest. We show that the existence of a lower and an upper function and the compactness condition imply the solvability of this boundary value problem.
引用
收藏
页码：182 / 186
页数：5
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