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On a problem for operator-differential second-order equations with nonlocal boundary condition

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Abstract

An operator-differential second-order equation with nonlocal boundary condition at zero is considered on the semiaxis. Here we give sufficient conditions on the operator coefficients for the regular solvability of the boundary-value problem. Moreover, we obtain conditions for the completeness andminimality of the derivative of the chain of eigen- and associated vectors generated by the boundary-value problem under study and establish the completeness and minimality of the decreasing elementary solutions of the operator-differential equation under consideration.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

    K. A. Kerimov & S. S. Mirzoev

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  1. K. A. Kerimov
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  2. S. S. Mirzoev
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Correspondence to K. A. Kerimov.

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Original Russian Text © K. A. Kerimov, S. S. Mirzoev, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 3, pp. 349–353.

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Kerimov, K.A., Mirzoev, S.S. On a problem for operator-differential second-order equations with nonlocal boundary condition. Math Notes 94, 330–334 (2013). https://doi.org/10.1134/S0001434613090046

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  • DOI: https://doi.org/10.1134/S0001434613090046

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