Asymptotic behavior of the Klein-Gordon-Schrödinger lattice dynamical systems

Ahmed Y. Abdallah

doi:10.3934/cpaa.2006.5.55

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2006, Volume 5, Issue 1: 55-69. Doi: 10.3934/cpaa.2006.5.55

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Asymptotic behavior of the Klein-Gordon-Schrödinger lattice dynamical systems

Ahmed Y. Abdallah^1,

1.
Department of Mathematics, University of Jordan, Amman 11942

Received: February 28, 2005

Revised: October 31, 2005

Published: February 2006

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Abstract

We investigate the existence of the global attractor and its upper semicontinuity for the lattice dynamical system of a Klein-Gordon-Schrödinger type equation in a suitable Hilbert space.

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Mathematics Subject Classification: 37L30, 37L60.

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Asymptotic behavior of the Klein-Gordon-Schrödinger lattice dynamical systems

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