Abstract
Existence conditions are obtained for the asymptotic solution of an inhomogeneous equation of thermal conductivity with discontinuous coefficients as →∞, which satisfies homogeneous boundary and initial conditions.
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References
S. G. Mikhlin, Linear Partial Differential Equations [in Russian], Vyssh. Shk., Moscow (1977).
L. E. Elsgots and S. B. Norkin, Introduction to the Theory and Application of Differential Equations with Deviating Arguments, Academic Press, New York (1973).
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Translated from Dinamicheskie Sistemy, No. 7, pp. 103–109, 1988.
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Kukhta, G.P. Asymptotic behavior of a solution of a generalized thermal conduction equation. J Math Sci 65, 1570–1574 (1993). https://doi.org/10.1007/BF01097666
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DOI: https://doi.org/10.1007/BF01097666