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On the completeness of systems of eigenfunctions and associated functions of differential operators of orders 2 − ε and 1 − ε

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Abstract

In the space of vector-functions, we consider a boundary-value problem for differential operators of fractional orders (2 − ε) and (1 − ε) and prove the completeness of the system of eigenfunctions and associated functions of this problem in the space \(L_1 \left( {\left[ {0,1} \right],\,\mathbb{C}^p } \right)\).

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Authors and Affiliations

  1. Donetsk National University, 24, Universitetskaya Str., Donetsk, 83055, Ukraine

    Anna V. Agibalova

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  1. Anna V. Agibalova
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Correspondence to Anna V. Agibalova.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 7, No. 2, pp. 139–153, April–May, 2010.

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Agibalova, A.V. On the completeness of systems of eigenfunctions and associated functions of differential operators of orders 2 − ε and 1 − ε . J Math Sci 174, 425–436 (2011). https://doi.org/10.1007/s10958-011-0309-7

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  • DOI: https://doi.org/10.1007/s10958-011-0309-7

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