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Attractors for discrete nonlinear Schrödinger equation with delay

Attractors for discrete nonlinear Schrödinger equation with delay In this paper, we first prove the existence of the global attractor A v ε C([−v,0],ℓ2) (v>0) for a weak damping discrete nonlinear Schrödinger equation with delay. Then we consider an upper semi-continuity of A v as v → 0+. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Attractors for discrete nonlinear Schrödinger equation with delay

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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2010 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH
Subject
Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science; Applications of Mathematics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-007-7101-y
Publisher site
See Article on Publisher Site

Abstract

In this paper, we first prove the existence of the global attractor A v ε C([−v,0],ℓ2) (v>0) for a weak damping discrete nonlinear Schrödinger equation with delay. Then we consider an upper semi-continuity of A v as v → 0+.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Apr 23, 2009

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