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Asymptotic behavior of bounded solutions to a nonhomogeneous second-order evolution equation of monotone type
Authors:Behzad Djafari Rouhani  Hadi Khatibzadeh
Institution:a Department of Mathematical Sciences, University of Texas at El Paso, 500 W. University Ave., El Paso, TX 79968, USA
b Department of Mathematics, Zanjan University, Zanjan, Iran
c School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box: 19395-5746, Tehran, Iran
Abstract:By using previous results of Djafari Rouhani B. Djafari Rouhani, Ergodic theorems for nonexpansive sequences in Hilbert spaces and related problems, Ph.D. Thesis, Yale university, 1981, part I, pp. 1-76; B. Djafari Rouhani, Asymptotic behaviour of quasi-autonomous dissipative systems in Hilbert spaces, J. Math. Anal. Appl. 147 (1990) 465-476; B. Djafari Rouhani, Asymptotic behaviour of almost nonexpansive sequences in a Hilbert space, J. Math. Anal. Appl. 151 (1990) 226-235] for dissipative systems, we study the asymptotic behavior of solutions to the following system of second-order nonhomogeneous evolution equations:
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Keywords:primary  47J35  34G25  secondary  47H05  47H04
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