Solvability of a multi-point boundary value problem at resonance

被引：47
|
作者：
Przeradzki, B [1 ]
Stanczy, R [1 ]
机构：
[1] Univ Lodz, Dept Math, PL-90238 Lodz, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 264卷 / 02期
关键词：
Mawhin continuation theorem; resonance; multi-point boundary value problem;
D O I：
10.1006/jmaa.2001.7616
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the problem of existence of a solution for the multi-point boundary value problem, x"(t) = f(t, x(t), x'(t)), 0 < t < 1, x(0) = 0, x(1) = Sigma(i=1)(k) xi(i)x(eta(i)), with Sigma(i=1)(k) xi(i)eta(i) = 1, in the absence of growth conditions on f. The multi-dimensional version of the problem is also considered. (C) 2001 Elsevier Science.
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页码：253 / 261
页数：9
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