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Advances in Pure and Applied Mathematics

Editor-in-Chief: Trimeche, Khalifa

Editorial Board: Aldroubi, Akram / Anker, Jean-Philippe / Aouadi, Saloua / Bahouri, Hajer / Baklouti, Ali / Bakry, Dominique / Baraket, Sami / Ben Abdelghani, Leila / Begehr, Heinrich / Beznea, Lucian / Bezzarga, Mounir / Bonami, Aline / Demailly, Jean-Pierre / Fleckinger, Jacqueline / Gallardo, Leonard / Ismail, Mourad / Jarboui, Noomen / Jouini, Elyes / Karoui, Abderrazek / Kamoun, Lotfi / Kobayashi, Toshiyuki / Maday, Yvon / Marzougui, Habib / Mili, Maher / Mustapha, Sami / Ovsienko, Valentin / Peigné, Marc / Pouzet, Maurice / Radulescu, Vicentiu / Schwartz, Lionel / Sifi, Mohamed / Zaag, Hatem / Zarati, Said

CiteScore 2017: 1.29

SCImago Journal Rank (SJR) 2017: 0.177
Source Normalized Impact per Paper (SNIP) 2017: 0.409

Mathematical Citation Quotient (MCQ) 2017: 0.21

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Positive solution of boundary value problem for semipositone third order differential equations with an increasing homeomorphism and homomorphism

Fatma Serap Topal / Arzu Denk
Published Online: 2013-09-25 | DOI: https://doi.org/10.1515/apam-2013-0006


By employing Krasnoselskii fixed point theorem, we study third order differential equations with an increasing homeomorphism and homomorphism satisfying three kinds of different boundary value conditions. This paper shows the existence of positive solution for semipositone type. That is, we emphasize that the nonlinear term f may take a negative value. Two examples are given to demonstrate the application of our main results.

Keywords: Positive solution; semipositone problems; fixed point theorems

About the article

Received: 2013-03-19

Accepted: 2013-08-22

Published Online: 2013-09-25

Published in Print: 2013-12-01

Citation Information: Advances in Pure and Applied Mathematics, Volume 4, Issue 4, Pages 375–387, ISSN (Online) 1869-6090, ISSN (Print) 1867-1152, DOI: https://doi.org/10.1515/apam-2013-0006.

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© 2013 by Walter de Gruyter Berlin Boston.Get Permission

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