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On the solvability of initial boundary-value problems for a class of operator-differential equations of third order

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Abstract

We obtain sufficient conditions for the regular solvability of initial boundary-value problems for a class of operator-differential equations of third order with variable coefficients on the semiaxis. These conditions are expressed only in terms of the operator coefficients of the equations under study. We obtain estimates of the norms of intermediate derivative operators via the discontinuous principal parts of the equations and also find relations between these estimates and the conditions for regular solvability.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Baku State University, Baku, Azerbaijan

    A. R. Aliev

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  1. A. R. Aliev
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Correspondence to A. R. Aliev.

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Original Russian Text ¢ A. R. Aliev, 2011, published in Matematicheskie Zametki, 2011, Vol. 90, No. 3, pp. 323–339.

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Aliev, A.R. On the solvability of initial boundary-value problems for a class of operator-differential equations of third order. Math Notes 90, 307 (2011). https://doi.org/10.1134/S000143461109001X

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