<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

This paper is concerned with the existence and nonexistence of positive solutions of nth-order impulsive boundary value problem with integral boundary...

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

Published Online: Sep 21, 2017

Page range: 243 - 261

Received: Jun 12, 2013

Accepted: Mar 03, 2014

DOI: https://doi.org/10.1515/auom-2016-0014

Keywords
Green's function, Impulsive boundary value problems, Fixed-point theorem, Positive solution, Integral boundary conditions

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 21, 2017

Page range: 243 - 261

Received: Jun 12, 2013

Accepted: Mar 03, 2014

DOI: https://doi.org/10.1515/auom-2016-0014

KeywordsGreen's function, Impulsive boundary value problems, Fixed-point theorem, Positive solution, Integral boundary conditions

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Green's function, Impulsive boundary value problems, Fixed-point theorem, Positive solution, Integral boundary conditions