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Regular boundary value problems with a discontinuous coefficient, functional-multipoint conditions, and a linear spectral parameter

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Abstract

We consider a linear differential equation which includes a linear abstract operator, with a piecewise constant coefficient at the principal differential term, together with multipoint boundary-transmission conditions, including linear functionals. The spectral parameter appears linearly in the equation and may appear also linearly in the boundary-transmission conditions. We prove an isomorphism and coerciveness of the problem with respect to the spectral parameter and the space variable.

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Authors and Affiliations

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

    M. Kandemir

  2. Raymond and Beverly Sackler School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, 69978, Israel

    Ya. Yakubov

Authors
  1. M. Kandemir
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  2. Ya. Yakubov
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Corresponding author

Correspondence to M. Kandemir.

Additional information

The second author was supported by the Israel Ministry of Absorption.

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Kandemir, M., Yakubov, Y. Regular boundary value problems with a discontinuous coefficient, functional-multipoint conditions, and a linear spectral parameter. Isr. J. Math. 180, 255–270 (2010). https://doi.org/10.1007/s11856-010-0103-0

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  • DOI: https://doi.org/10.1007/s11856-010-0103-0

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