Fixed point technique and its applications to functional differential equations with delay
| dc.contributor.author | Elbahi, Amel | |
| dc.contributor.author | Benhadri , Mimia | |
| dc.date.accessioned | 2025-10-13T10:12:48Z | |
| dc.date.available | 2025-10-13T10:12:48Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | For long time …xed point theory has been used extensively in nonlinear di¤erential equations to investigate the properties of solutions both quantitatively and qualitatively. One of the most signi…cant qualitative features of di¤erential equations is the determination of their periodicity. The main objective of this thesis is to investigate the existence of bounded positive periodic solutions for a class of …rst-order nonlinear neutral di¤erential equations with iterative terms and impulsive e¤ects. In the process, we convert the given equation into an equivalent integral equation. Then, we construct a suitable mapping and use a hybrid technique that combines Shauder’s …xed point approach, Green’s functions method, and some functional analysis tools to achieve our purpose. Easily veri…able su¢ cient conditions are established. The equation considered is more general and incorporates as special cases various problems widely studied in di¤erent literature. In our applications, two examples are analyzed to demonstrate the real power of our results. | |
| dc.identifier.uri | http://dspace.univ-skikda.dz:4000/handle/123456789/5161 | |
| dc.language.iso | en | |
| dc.publisher | 20 Août 1955 university of Skikda | |
| dc.subject | functional differential equations | |
| dc.subject | Fixed-point theorems | |
| dc.title | Fixed point technique and its applications to functional differential equations with delay | |
| dc.type | Thesis |