Two-point problem for higher-order systems

被引：1
作者：
Cubiotti, P [1 ]
Di Bella, B [1 ]
机构：
[1] Univ Messina, Dept Math, I-98166 Messina, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 253卷 / 01期
关键词：
D O I：
10.1006/jmaa.2000.7100
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we prove an existence theorem for the two-point problem u((m))(t) = f(t, u(t),...,U(m-1)(t)) + Sigma (m-1)(k=0) t(k)lambda (k) for all t is an element of [a, b] u((k))(a) = u((k))(b) = 0 for all k = 0,..., m - 1, where f: [a, b] x R-nm --> R-n is a given function and lambda (0),..., lambda (m-1) are suitable vectors of R-n. In particular, we extend a result recently obtained for the case m = 1. (C) 2001 Academic Press.
引用
收藏
页码：243 / 249
页数：7
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