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Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio


IMPACT FACTOR 2018: 0.551

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1572-9176
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Construction of Green’s functional for a third order ordinary differential equation with general nonlocal conditions and variable principal coefficient

Kemal Özen
  • Corresponding author
  • Department of Mathematics, Namık Kemal University, Değirmenaltı, 59030, Tekirdağ, Turkey
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Published Online: 2019-02-15 | DOI: https://doi.org/10.1515/gmj-2019-2003

Abstract

In this work, the solvability of a generally nonlocal problem is investigated for a third order linear ordinary differential equation with variable principal coefficient. A novel adjoint problem and Green’s functional are constructed for a completely nonhomogeneous problem. Several illustrative applications for the theoretical results are provided.

Keywords: Green’s function; nonlocal condition; adjoint problem; variable principal coefficient

MSC 2010: 34B05; 34B10; 34B27; 65N80

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About the article

Received: 2016-02-19

Revised: 2018-03-04

Accepted: 2018-03-19

Published Online: 2019-02-15


Citation Information: Georgian Mathematical Journal, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj-2019-2003.

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