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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
, 
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
 e 
Ahcene Djoudi

Ahcene Djoudi

Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, Univ AnnabaAlgeria
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Djoudi, Ahcene
  
22 nov 2020
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Pubblicato online: 22 nov 2020
Pagine: 20 - 29
Ricevuto: 04 giu 2020
Accettato: 17 ott 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.

Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Matematica, Analisi, Equazioni differenziali e sistemi dinamici, Probabilità e statistiche, Matematica numerica e computazionale
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