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Asymptotic behavior of the solution of a system of nonlinear integro-differential equations - MaRDI portal

Asymptotic behavior of the solution of a system of nonlinear integro-differential equations (Q414054)

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scientific article; zbMATH DE number 6032852
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Asymptotic behavior of the solution of a system of nonlinear integro-differential equations
scientific article; zbMATH DE number 6032852

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    Asymptotic behavior of the solution of a system of nonlinear integro-differential equations (English)
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    10 May 2012
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    The authors investigate the asymptotic behavior of the solution of a system of nonlinear integro-differential equations which arises in the mathematical modeling of penetration of an electromagnetic field into a medium whose electric conductivity greatly depends on the temperature. By considering homogeneous and inhomogeneous boundary conditions they prove exponential stabilization of the solution.
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    asymptotic behavior
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    nonlinear integro-differential equations
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    homogeneous
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    inhomogeneous
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    exponential stabilization
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