Extremal solutions of boundary value problems

被引：2
|
作者：
Vasil'ev, N. I. [1 ]
Lepin, A. Ya. [1 ]
Lepin, L. A. [1 ]
机构：
[1] Univ Latvia, Inst Math & Comp Sci, Riga, Latvia
来源：
DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 02期
关键词：
Differential Equation; Unique Solution; Estimate Method; Fourth Order; Algebraic Function;
D O I：
10.1134/S0012266111020029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
To prove the existence of a solution of a two-point boundary value problem for an nth-order operator equation by the a priori estimate method, we study extremal solutions of auxiliary boundary value problems for an nth-order differential equation with simplest right-hand side, which have a unique solution under certain restrictions on the boundary conditions.
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页码：166 / 172
页数：7
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