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

页码：243 / 249

页数：7

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