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March  2006, 5(1): 55-69. doi: 10.3934/cpaa.2006.5.55

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

Ahmed Y. Abdallah 1,

1. 

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

Received  March 2005 Revised  November 2005 Published  December 2005

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.
Keywords: global attractor, upper semicontinuity., Lattice dynamical system, absorbing set, Klein-Gordon-Schrödinger equation.
Mathematics Subject Classification: 37L30, 37L6.
Citation: Ahmed Y. Abdallah. Asymptotic behavior of the Klein-Gordon-Schrödinger lattice dynamical systems. Communications on Pure & Applied Analysis, 2006, 5 (1) : 55-69. doi: 10.3934/cpaa.2006.5.55
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