An even-order three-point boundary value problem on time scales

被引：22

作者：

Anderson, DR ^{[1
]}

Avery, RI

机构：

[1] Concordia Coll, Dept Math, Moorhead, MN 56562 USA

[2] S Dakota State Univ, Coll Nat Sci, Madison, SD 57042 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 291卷 / 02期

关键词：

boundary value problem; cone; Green's function; delta-nabla dynamic equation;

D O I：

10.1016/j.jmaa.2003.11.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the even-order dynamic equation (-1(n)x((Deltadel)n) (t) = lambdah(t), t epsilon [a, c] satisfying the boundary conditions x((Deltadel)i)(a) = 0 and x((Deltadel)i) (c) = betax((Deltadel)i) (b) for 0 less than or equal to i less than or equal to n - 1. The three points a, b, c are from a time scale T, where 0 < beta(b - a) < c - a for b is an element of (a, c), beta > 0, f is a positive function, and h is a nonnegative function that is allowed to vanish on some subintervals of [a, cl of the time scale. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：514 / 525

页数：12

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