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

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

Laboratory of Analysis and Control of Differential Equations ”ACED”

Fac. MISM, Dept. Maths, Univ 8 May 1945 Guelma

Department of Mathematics and Informatics

Applied Mathematics Lab., Faculty of Sciences, Department of Mathematics

Faculty of Sciences, Department of Mathematics

Moroccan Journal of Pure and Applied Analysis

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

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...

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

Published Online: Nov 22, 2020

Page range: 20 - 29

Received: Jun 04, 2020

Accepted: Oct 17, 2020

DOI: https://doi.org/10.2478/mjpaa-2021-0003

Keywords
Positive solutions, Schauder’s fixed point theorem, Dynamic equations, Time scales

© 2020 Faycal Bouchelaghem et al., published by Sciendo

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

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

Published Online: Nov 22, 2020

Page range: 20 - 29

Received: Jun 04, 2020

Accepted: Oct 17, 2020

DOI: https://doi.org/10.2478/mjpaa-2021-0003

KeywordsPositive solutions, Schauder’s fixed point theorem, Dynamic equations, Time scales

© 2020 Faycal Bouchelaghem et al., published by Sciendo

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

Keywords
Positive solutions, Schauder’s fixed point theorem, Dynamic equations, Time scales