Ibtissem DAIRA (2024) Periodicity , positivity and stability of solutions for some delay dynamic equations using the fixed point technique. univ of souk ahras
Scientific Publications
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Abstract
Abstract
This thesis focuses on examining the periodicity, positivity, and stability of solutions for specific delay dynamic equations on time scales. To achieve this, we initially introduce fundamental concepts pertaining to functional analysis, fixed point theory, and time scale calculus. Subsequently, we enhance the comprehensiveness of previously studied delay differential equations by reformulating them to be applicable on any time scale. Additionally, we carefully select a suitable fixed point theorem that yields improved outcomes under reasonable conditions. better understanding, we supplemented the results with an example in the time scale.
Keywords : Fixed point theory, periodicity, positivity, stability, time scales, delay dynamic equations.
Mathematics Subject Classification : 34K13, 34K20, 34K30, 34K40, 45D05, 45J05, 47H10.
This thesis focuses on examining the periodicity, positivity, and stability of solutions for specific delay dynamic equations on time scales. To achieve this, we initially introduce fundamental concepts pertaining to functional analysis, fixed point theory, and time scale calculus. Subsequently, we enhance the comprehensiveness of previously studied delay differential equations by reformulating them to be applicable on any time scale. Additionally, we carefully select a suitable fixed point theorem that yields improved outcomes under reasonable conditions. better understanding, we supplemented the results with an example in the time scale.
Keywords : Fixed point theory, periodicity, positivity, stability, time scales, delay dynamic equations.
Mathematics Subject Classification : 34K13, 34K20, 34K30, 34K40, 45D05, 45J05, 47H10.
Information
| Item Type | Thesis |
|---|---|
| Divisions |
» Faculty of Science and Technology |
| ePrint ID | 5176 |
| Date Deposited | 2024-09-29 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/5176 |
BibTex
@phdthesis{uniusa5176,
title={Periodicity , positivity and stability of solutions for some delay dynamic equations using the fixed point technique},
author={Ibtissem DAIRA},
year={2024},
school={univ of souk ahras}
}
title={Periodicity , positivity and stability of solutions for some delay dynamic equations using the fixed point technique},
author={Ibtissem DAIRA},
year={2024},
school={univ of souk ahras}
}