Positive solutions of nth-order impulsive differential equations with integral boundary conditions

Fatma Tokmak Fen; Ilkay Yaslan Karaca

doi:10.1515/auom-2016-0014

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Positive solutions of nth-order impulsive differential equations with integral boundary conditions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 24 (2016): Issue 1 (January 2016)

By: Fatma Tokmak Fen and Ilkay Yaslan Karaca

Open Access

|Sep 2017

Abstract

This paper is concerned with the existence and nonexistence of positive solutions of nth-order impulsive boundary value problem with integral boundary conditions. The fixed point theorem of cone expansion and compression is used to investigate the existence of at least one positive solution. Also, an example is given to illustrate the effective of our results.

References

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2016-0014 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 243 - 261

Submitted on: Jun 12, 2013

Accepted on: Mar 3, 2014

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Green's function,

Impulsive boundary value problems,

Fixed-point theorem,

Positive solution,

Integral boundary conditions

Related subjects:

Mathematics,

General mathematics

© 2017 Fatma Tokmak Fen, Ilkay Yaslan Karaca, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 24 (2016): Issue 1 (January 2016)