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Generalized Green’s functions for mth-order discrete nonlocal problems∗

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Abstract

In this paper, we consider mth-order linear discrete problems with m nonlocal conditions. We investigate a generalized Green’s function, describing the minimum norm least squares solution, and present its properties, which resemble properties of an ordinary Green’s function.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, LT-03225, Vilnius, Lithuania

    Gailė Paukštaitė & Artūras Štikonas

  2. Institute of Mathematics and Informatics, Vilnius University, Akademijos str. 4, LT-08663, Vilnius, Lithuania

    Gailė Paukštaitė & Artūras Štikonas

Authors
  1. Gailė Paukštaitė
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  2. Artūras Štikonas
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Correspondence to Gailė Paukštaitė.

Additional information

∗ The research was partially supported by the Research Council of Lithuania (grant No. MIP-047/2014).

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Paukštaitė, G., Štikonas, A. Generalized Green’s functions for mth-order discrete nonlocal problems∗ . Lith Math J 57, 109–127 (2017). https://doi.org/10.1007/s10986-017-9346-3

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