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Applied Mathematics and Computation
Volume 150, Issue 1, 27 February 2004, Pages 139-147
 
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doi:10.1016/S0096-3003(03)00204-2    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2003 Elsevier Inc. All rights reserved.

Existence of solutions for a two-point boundary value problem on time scales

Ruyun MaCorresponding Author Contact Information, E-mail The Corresponding Author and Hua Luo

Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, PR China

Available online 17 April 2003.

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Abstract

Let T be a time scale. Let f:[0,σ(1)]×R2R be continuous. We study the existence of solutions for the nonlinear two-point boundary value problems on time scale

xup triangle, openup triangle, open(t)=f(t,x(t),xup triangle, open(t)), tset membership, variant[0,1]


x(0)=0, xup triangle, open(σ(1))=0.
We do not need any growth restrictions on f.

Author Keywords: Existence theorems; Boundary value problem; Time scales; Barrier strips

Article Outline

1. Introduction
2. Some definitions on time scales
3. Preliminaries
4. Existence
Acknowledgements
References

 
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