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Green’s functions for stationary problems with nonlocal boundary conditions

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Abstract

In this paper, we investigate Green’s functions for various stationary problems with nonlocal boundary conditions. We express the Green’s function per Green’s function for a problem with classical boundary conditions. This property is illustrated by various examples. Properties of Green’s functions with nonlocal boundary conditions are compared with those for classical problems.

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, Akademijos 4, LT-08663, Vilnius, Lithuania

    S. Roman & A. Štikonas

Authors
  1. S. Roman
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  2. A. Štikonas
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Correspondence to S. Roman.

Additional information

The research was partially supported by the Lithuanian State Science and Studies Foundation, grant No. T-73/09.

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Roman, S., Štikonas, A. Green’s functions for stationary problems with nonlocal boundary conditions. Lith Math J 49, 190–202 (2009). https://doi.org/10.1007/s10986-009-9041-0

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  • DOI: https://doi.org/10.1007/s10986-009-9041-0

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