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Inversion and Multiplication of Resolvent Integral Operators of Viscoelasticity in the Case of Complex Parameters

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Abstract

We consider the case where an algebraic equation for determination of parameters of the linear sum of resolvent operators inverse to the given one has complex roots and has no multiple roots. For this case, we find formulas of inversion and multiplication. We give conditions for elimination of imaginary components in final operator expressions.

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Authors and Affiliations

  1. Timoshenko Institute of Mechanics, Ukrainian Academy of Sciences, Kiev

    I. Yu. Podil'chuk

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  1. I. Yu. Podil'chuk
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Podil'chuk, I.Y. Inversion and Multiplication of Resolvent Integral Operators of Viscoelasticity in the Case of Complex Parameters. Journal of Mathematical Sciences 109, 1173–1181 (2002). https://doi.org/10.1023/A:1013780208008

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  • DOI: https://doi.org/10.1023/A:1013780208008

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