Uniqueness implies existence for three-point boundary value problems for dynamic equations

被引：7

作者：

Henderson, J ^{[1
]}

Tisdell, CC

Yin, WKC

机构：

[1] Baylor Univ, Dept Math, Waco, TX 76798 USA

[2] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

[3] LaGrange Coll, Dept Math, La Grange, GA 30240 USA

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 12期

关键词：

time scale; boundary value problem; dynamic equation; shooting method;

D O I：

10.1016/j.am1.2003.08.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Shooting methods are used to obtain solutions of the three-point boundary value problem for the second-order dynamic equation, y(DeltaDelta) = f(x, y, y(Delta)), y(x(1)) = y(1), y(x(3)) - y(x(2)) = y(2), where f : (a, b)(T) x R-2 --> R is continuous, x(1) < x(2) < x(3) in (a, b)(T), y(1),y(2) is an element of R, and T is a time scale. It is assumed such solutions are unique when they exist. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1391 / 1395

页数：5

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