Generalized Green’s functions for second-order discrete boundary-value problems with nonlocal boundary conditions

Gailė Paukštaitė; Artūras Štikonas

doi:10.15388/LMR.A.2012.17

Articles

Gailė Paukštaitė

Vilnius University

https://orcid.org/0000-0002-1226-6303

Artūras Štikonas

Vilnius University

http://orcid.org/0000-0002-5872-5501

Published 2012-12-22

https://doi.org/10.15388/LMR.A.2012.17

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Keywords

discrete boundary-value problem
generalized Green function
Moore–Penrose inverse
nonlocal boundary conditions

How to Cite

Paukštaitė G. and Štikonas A. (2012) “Generalized Green’s functions for second-order discrete boundary-value problems with nonlocal boundary conditions”, Lietuvos matematikos rinkinys, 53(A), pp. 96-101. doi: 10.15388/LMR.A.2012.17.

Abstract

In this paper, generalized Green’s functions for second-order discrete boundaryvalue
problems with nonlocal boundary conditions are investigated, where the necessary
and sufficient existence condition of discrete Green’s function is not satisfied and nonlocal
boundary conditions are described by linear functionals.

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