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Manypoint Boundary Value Problems for Elliptic Differential-Operator Equations with Interior Singularities

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Abstract

In this work, a elliptic differential-operator equation together with boundary-transmission conditions is considered on two disjoint intervals. The boundary-transmission conditions may contain finite number interior points and abstract linear operators. We establish such important properties as coerciveness and Fredholmness of the problem under consideration. Moreover, we prove that the system of root functions forms an Abel basis in the corresponding Hilbert space.

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Acknowledgements

The authors would like to thank the referees for their valuable comments.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Education, Amasya University, 5100, Amasya, Turkey

    Mustafa Kandemir

  2. Department of Mathematics Faculty of Arts and Science, Tokat Gaziosmanpaşa University, 60250, Tokat, Turkey

    Oktay Sh. Mukhtarov

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

    Oktay Sh. Mukhtarov

Authors
  1. Mustafa Kandemir
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  2. Oktay Sh. Mukhtarov
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Correspondence to Oktay Sh. Mukhtarov.

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Kandemir, M., Mukhtarov, O.S. Manypoint Boundary Value Problems for Elliptic Differential-Operator Equations with Interior Singularities. Mediterr. J. Math. 17, 35 (2020). https://doi.org/10.1007/s00009-019-1470-3

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