Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter

Noureddine Bouteraa; Slimane Benaicha; Habib Djourdem

doi:10.33187/jmsm.432678

EN

Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter

Abstract

This paper deals with the existence of positive solutions for a system of nonlinear singular fourth-order differential equations with a parameter $\lambda$ subject two-point boundary conditions. Our analysis relies on the Krasnoselskii fixed point theorem and under suitable conditions, we derive explicit eigenvalue intervals of $\lambda$ for the existence of at least one positive solution for the system.

Keywords

Green's function,Positive solutions,System of differential equations,Two-point boundary value problem

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Noureddine Bouteraa
Algeria

Slimane Benaicha This is me
Algeria

Habib Djourdem
Algeria

Publication Date

April 20, 2019

Submission Date

June 10, 2018

Acceptance Date

January 1, 2019

Published in Issue

Year 2019 Volume: 2 Number: 1

DOI

https://doi.org/10.33187/jmsm.432678

IZ

https://izlik.org/JA64NW35SK

APA

Bouteraa, N., Benaicha, S., & Djourdem, H. (2019). Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter. Journal of Mathematical Sciences and Modelling, 2(1), 30-38. https://doi.org/10.33187/jmsm.432678

AMA

1.Bouteraa N, Benaicha S, Djourdem H. Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter. Journal of Mathematical Sciences and Modelling. 2019;2(1):30-38. doi:10.33187/jmsm.432678

Chicago

Bouteraa, Noureddine, Slimane Benaicha, and Habib Djourdem. 2019. “Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems With Parameter”. Journal of Mathematical Sciences and Modelling 2 (1): 30-38. https://doi.org/10.33187/jmsm.432678.

EndNote

Bouteraa N, Benaicha S, Djourdem H (April 1, 2019) Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter. Journal of Mathematical Sciences and Modelling 2 1 30–38.

IEEE

[1]N. Bouteraa, S. Benaicha, and H. Djourdem, “Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter”, Journal of Mathematical Sciences and Modelling, vol. 2, no. 1, pp. 30–38, Apr. 2019, doi: 10.33187/jmsm.432678.

ISNAD

Bouteraa, Noureddine - Benaicha, Slimane - Djourdem, Habib. “Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems With Parameter”. Journal of Mathematical Sciences and Modelling 2/1 (April 1, 2019): 30-38. https://doi.org/10.33187/jmsm.432678.

JAMA

1.Bouteraa N, Benaicha S, Djourdem H. Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter. Journal of Mathematical Sciences and Modelling. 2019;2:30–38.

MLA

Bouteraa, Noureddine, et al. “Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems With Parameter”. Journal of Mathematical Sciences and Modelling, vol. 2, no. 1, Apr. 2019, pp. 30-38, doi:10.33187/jmsm.432678.

Vancouver

1.Noureddine Bouteraa, Slimane Benaicha, Habib Djourdem. Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter. Journal of Mathematical Sciences and Modelling. 2019 Apr. 1;2(1):30-8. doi:10.33187/jmsm.432678

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The published articles in JMSM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter

Abstract

Positive Solutions for Systems of Fourth Order Two-Point Boundary Value Problems with Parameter

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

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