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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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  • https://www.mathnet.ru/eng/sjvm697
  • https://www.mathnet.ru/eng/sjvm/v22/i1/p1
    • This publication is cited in the following 7 articles:
    1. Noureddine Bouteraa, Habib Djourdem, Nonlinear Systems - Recent Developments and Advances, 2023  crossref
    2. Noureddine Bouteraa, Habib Djourdem, Boundary Layer Flows - Modelling, Computation, and Applications of Laminar, Turbulent Incompressible and Compressible Flows, 2023  crossref
    3. Feng Li, Aruna K. K., “Numerical Analysis of Two Kinds of Nonlinear Differential Equations Based on Computer Energy Simulation”, Wireless Communications and Mobile Computing, 2022 (2022), 1  crossref
    4. Noureddine Bouteraa, “Positive periodic solutions of delay differential system at resonance”, Filomat, 36:10 (2022), 3433  crossref
    5. Noureddine Bouteraa, Habib Djourdem, Simulation Modeling, 2022  crossref
    6. N. Bouteraa, S. Benaicha, “Existence results for second-order nonlinear differential inclusion with nonlocal boundary conditions”, Num. Anal. Appl., 14:1 (2021), 30–39  mathnet  mathnet  crossref  crossref  isi  scopus
    7. Noureddine BOUTERAA, Slimane BENAİCHA, Habib DJOURDEM, “Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter”, Journal of Mathematical Sciences and Modelling, 2:1 (2019), 30  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    Abstract page:206
    Full-text PDF :49
    References:49
    First page:8
     
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