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

Faycal Bouchelaghem

Faycal Bouchelaghem

High School of Management Sciences, Laboratory of Analysis and Control of Differential Equations ”ACED”, Fac. MISM, Dept. Maths, Univ 8 May 1945 GuelmaAnnaba,
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Bouchelaghem, Faycal
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Abdelouaheb Ardjouni

Abdelouaheb Ardjouni

Department of Mathematics and Informatics, Univ Souk Ahras, Applied Mathematics Lab., Faculty of Sciences, Department of Mathematics, Univ AnnabaAnnaba,
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Ardjouni, Abdelouaheb
 and 
Ahcene Djoudi

Ahcene Djoudi

Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, Univ AnnabaAlgeria
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Djoudi, Ahcene
  
Nov 22, 2020
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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
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© 2020 Faycal Bouchelaghem et al., published by Sciendo
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 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.

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English
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3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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