The minimizer for the second order diﬀerential problem with one nonlocal condition

Gailė Paukštaitė; Artūras Štikonas

doi:10.15388/LMR.A.2017.06

Articles

Gailė Paukštaitė

Vilnius University

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

Artūras Štikonas

Vilnius University

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

Published 2017-12-23

https://doi.org/10.15388/LMR.A.2017.06

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Keywords

nonlocal conditions
least squares
Moore–Penrose inverse
minimizer

How to Cite

Paukštaitė G. and Štikonas A. (2017) “The minimizer for the second order diﬀerential problem with one nonlocal condition”, Lietuvos matematikos rinkinys, 58(A), pp. 28-33. doi: 10.15388/LMR.A.2017.06.

Abstract

In this paper, we investigate the minimizer of the residual for the second order diﬀerential problem with one initial and other nonlocal Bitsadze–Samarskii condition. We obtain the representation of the minimizer and present an example.

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