Solvability for a nonlinear third-order three-point boundary value problem

Djourdem Habib; Slimane Benaicha

doi:10.32323/ujma.400179

EN

Solvability for a nonlinear third-order three-point boundary value problem

Abstract

In this article, the existence of positive solutions for a nonlinear third-order three-point boundary value problem with integral condition is investigated. By using Leray-Schauder fixed point theorem, sufficient conditions for the existence of at least one positive solution are obtained. Illustrative examples are also presented to show the applicability of our results.

Keywords

Positive solutions,nonlocal integral boundary value problem,Concavity,Leray-Schauder fixed point theorem

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Djourdem Habib ^*
Algeria

Slimane Benaicha This is me
Algeria

Publication Date

June 26, 2018

Submission Date

March 1, 2018

Acceptance Date

April 12, 2018

Published in Issue

Year 2018 Volume: 1 Number: 2

DOI

https://doi.org/10.32323/ujma.400179

IZ

https://izlik.org/JA27RU34LW

APA

Habib, D., & Benaicha, S. (2018). Solvability for a nonlinear third-order three-point boundary value problem. Universal Journal of Mathematics and Applications, 1(2), 125-131. https://doi.org/10.32323/ujma.400179

AMA

1.Habib D, Benaicha S. Solvability for a nonlinear third-order three-point boundary value problem. Univ. J. Math. Appl. 2018;1(2):125-131. doi:10.32323/ujma.400179

Chicago

Habib, Djourdem, and Slimane Benaicha. 2018. “Solvability for a Nonlinear Third-Order Three-Point Boundary Value Problem”. Universal Journal of Mathematics and Applications 1 (2): 125-31. https://doi.org/10.32323/ujma.400179.

EndNote

Habib D, Benaicha S (June 1, 2018) Solvability for a nonlinear third-order three-point boundary value problem. Universal Journal of Mathematics and Applications 1 2 125–131.

IEEE

[1]D. Habib and S. Benaicha, “Solvability for a nonlinear third-order three-point boundary value problem”, Univ. J. Math. Appl., vol. 1, no. 2, pp. 125–131, June 2018, doi: 10.32323/ujma.400179.

ISNAD

Habib, Djourdem - Benaicha, Slimane. “Solvability for a Nonlinear Third-Order Three-Point Boundary Value Problem”. Universal Journal of Mathematics and Applications 1/2 (June 1, 2018): 125-131. https://doi.org/10.32323/ujma.400179.

JAMA

1.Habib D, Benaicha S. Solvability for a nonlinear third-order three-point boundary value problem. Univ. J. Math. Appl. 2018;1:125–131.

MLA

Habib, Djourdem, and Slimane Benaicha. “Solvability for a Nonlinear Third-Order Three-Point Boundary Value Problem”. Universal Journal of Mathematics and Applications, vol. 1, no. 2, June 2018, pp. 125-31, doi:10.32323/ujma.400179.

Vancouver

1.Djourdem Habib, Slimane Benaicha. Solvability for a nonlinear third-order three-point boundary value problem. Univ. J. Math. Appl. 2018 Jun. 1;1(2):125-31. doi:10.32323/ujma.400179