Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales

Faycal Bouchelaghem; Abdelouaheb Ardjouni; Ahcene Djoudi

doi:10.2478/mjpaa-2021-0003

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Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales

Moroccan Journal of Pure and Applied Analysis

Volume 7 (2021): Issue 1 (January 2021)

By: Faycal Bouchelaghem, Abdelouaheb Ardjouni and Ahcene Djoudi

Open Access

|Nov 2020

Abstract

In this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem. The results obtained here extend the work of Culakova, Hanustiakova and Olach [12]. Two examples are also given to illustrate this work.

References

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Articles in this issue

DOI: https://doi.org/10.2478/mjpaa-2021-0003 | Journal eISSN: 2351-8227

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Language: English

Page range: 20 - 29

Submitted on: Jun 4, 2020

Accepted on: Oct 17, 2020

Published on: Nov 22, 2020

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Positive solutions,

Schauder’s fixed point theorem,

Related subjects:

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2020 Faycal Bouchelaghem, Abdelouaheb Ardjouni, Ahcene Djoudi, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 7 (2021): Issue 1 (January 2021)