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Test for propriety in a layer of a boundary problem with integral condition

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Ukrainian Mathematical Journal Aims and scope

Abstract

A criterion for propriety in the class of bounded functions of a boundary problem in a layer IRn × [0,T], consisting of the solution of an evolutional linear differential equation with constant (complex) coefficients under an additional integral condition containing an arbitrary differential operator (in the spatial variables) and weight function exp {at}, a ∃ ℂ is obtained. The dependence of the propriety of the given problem on the thickness T of the considered layer is studied.

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Authors and Affiliations

  1. Khar'kov University, USSR

    L. V. Fardigola

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  1. L. V. Fardigola
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 11, pp. 1546–1551, November, 1990.

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Fardigola, L.V. Test for propriety in a layer of a boundary problem with integral condition. Ukr Math J 42, 1388–1394 (1990). https://doi.org/10.1007/BF01066197

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  • DOI: https://doi.org/10.1007/BF01066197

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