Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2019, Volume 22, Number 1, Pages 1–14
DOI: https://doi.org/10.15372/SJNM20190101 (Mi sjvm697) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Positive periodic solutions for a class of fourth-order nonlinear differential equations

N. Bouteraa, S. Benaicha

University of Oran1, Ahmed Benbella, Algeria
Full-text PDF (499 kB) Citations (7)
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DOI: https://doi.org/10.15372/SJNM20190101
Abstract: In this paper, we obtain the existence and uniqueness of periodic solutions for a nonlinear fourth-order differential equation utilizing an explicit Green’s function and fixed point index theorem combining with an operator spectral theorem. We discuss an iteration method for constant coefficient nonlinear differential equations and establish a theorem on the existence of positive solutions for fourth-order boundary value problem with variable parameter. Finally, we give an example to illustrate our results.
Key words: positive solution, uniqueness and existence, iterative sequence, Green’s function.
Received: 24.10.2017
Revised: 18.03.2018
Accepted: 05.10.2018
English version:
Numerical Analysis and Applications, 2019, Volume 12, Issue 1, Pages 1–14
DOI: https://doi.org/10.1134/S1995423919010014
Bibliographic databases:
Document Type: Article
MSC: 34B10, 34B18, 34B27
Language: Russian
Citation: N. Bouteraa, S. Benaicha, “Positive periodic solutions for a class of fourth-order nonlinear differential equations”, Sib. Zh. Vychisl. Mat., 22:1 (2019), 1–14; Num. Anal. Appl., 12:1 (2019), 1–14
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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