Belkis BORDJ (2024) Qualitative study of solutions for certain nonlinear delay dynamic equations on a time scale. university of souk ahras
Scientific Publications
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Abstract
Abstract:
In this thesis, we study the periodicity, positivity and stability of solutions of certain de- lay dynamic equations on time scales. To do this, we firstly include some basic concepts related to the functional analysis, fixed point theory and time scale calculus. Then, we reformulate the delay differential equations that were previously studied to be more comprehensive by defining them on an arbitrary time scale. Also, we choose the appropriate fixed point theorem to get better results with reasonable conditions.
Keywords: Time scales, delay dynamic equations, fixed point theory, existence, uniqueness, periodicity, positivity, stability.
Mathematics Subject Classification: 34B40, 34K13, 34K20, 34K30, 34K40, 45J05, 47H10.
In this thesis, we study the periodicity, positivity and stability of solutions of certain de- lay dynamic equations on time scales. To do this, we firstly include some basic concepts related to the functional analysis, fixed point theory and time scale calculus. Then, we reformulate the delay differential equations that were previously studied to be more comprehensive by defining them on an arbitrary time scale. Also, we choose the appropriate fixed point theorem to get better results with reasonable conditions.
Keywords: Time scales, delay dynamic equations, fixed point theory, existence, uniqueness, periodicity, positivity, stability.
Mathematics Subject Classification: 34B40, 34K13, 34K20, 34K30, 34K40, 45J05, 47H10.
Information
| Item Type | Thesis |
|---|---|
| Divisions |
» Laboratory of Computer Science and Mathematics » Faculty of Science and Technology |
| ePrint ID | 4792 |
| Date Deposited | 2024-01-16 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/4792 |
BibTex
@phdthesis{uniusa4792,
title={Qualitative study of solutions for certain nonlinear delay dynamic equations on a time scale},
author={Belkis BORDJ},
year={2024},
school={university of souk ahras}
}
title={Qualitative study of solutions for certain nonlinear delay dynamic equations on a time scale},
author={Belkis BORDJ},
year={2024},
school={university of souk ahras}
}