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On some systems of convolution-type first-order integrodifferential equations on the semiaxis

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Ukrainian Mathematical Journal Aims and scope

We study a class of vector convolution-type integrodifferential equations on the semiaxis used for the description of various applied problems of mathematical physics. By using a special three-factor decomposition of the original mathematical integrodifferential operator, we prove the solvability of these equations in certain functional spaces.

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Authors and Affiliations

  1. Institute of Mathematics, Armenian National Academy of Sciences, Erevan, Armenia

    A. Kh. Khachatryan & Kh. A. Khachatryan

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  1. A. Kh. Khachatryan
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  2. Kh. A. Khachatryan
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 9, pp. 1277–1292, September, 2009.

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Khachatryan, A.K., Khachatryan, K.A. On some systems of convolution-type first-order integrodifferential equations on the semiaxis. Ukr Math J 61, 1511–1528 (2009). https://doi.org/10.1007/s11253-010-0293-y

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  • DOI: https://doi.org/10.1007/s11253-010-0293-y

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