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Large time behavior of solutions to a nonlinear integro-differential system

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Authors
Jangveladze, Temur
Kiguradze, Zurab
Neta, Beny
Subjects
Nonlinear integro-differential system
Asymptotic behavior of solutions as tâ â
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Date of Issue
2009
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Abstract
Asymptotic behavior of solutions as t à ¢ à ¢ to the nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is studied. Initialà ¢ boundary value problems with two kinds of boundary data are considered. The first with homogeneous conditions on whole boundary and the second with non-homogeneous boundary data on one side of lateral boundary. The rates of convergence are given too.
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Article
Description
The article of record as published may be found at http://dx.doi.org/10.1016/j.jmaa.2008.10.016
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Department
Applied Mathematics
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Sponsors
Authors thank referees for valuable suggestions. The research described in this publication was made possible in part by Award No. NSS #17-07 of the U.S. Civilian Research & Development Foundation (CRDF), the Georgia National Science Foundation (GNSF) and the Georgian Research and Development Foundation (GRDF). The designated project has been fulfilled by financial support of the Georgia National Science Foundation (Grant #GNSF/ST07/3-176). Any idea in this publication is possessed by the authors and may not represent the opinion of the Georgia National Science Foundation itself. The second author thanks the Naval Postgraduate School for hosting him.
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Citation
J. Math. Anal. Appl., 351, (2009), pp. 382à ¢ 391
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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