Degenerate nonlinear boundary-value problems

被引：1
|
作者：
Boichuk, O. A. [1 ]
Shehda, L. M. [2 ]
机构：
[1] Ukrainian Natl Acad Sci, Inst Math, Kiev, Ukraine
[2] Shevchenko Kyiv Natl Univ, Kiev, Ukraine
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2009年 / 61卷 / 09期
关键词：
DIFFERENTIAL-EQUATIONS; SYSTEMS;
D O I：
10.1007/s11253-010-0284-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish necessary and sufficient conditions for the existence of solutions of weakly nonlinear degenerate boundary-value problems for systems of ordinary differential equations with a Noetherian operator in the linear part. We propose a convergent iterative procedure for finding solutions and establish the relationship between necessary and sufficient conditions.
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页码：1387 / 1403
页数：17
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