Existence results for certain delay differential equations
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Date
2024
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Publisher
université 20aout 1955 skikda
Abstract
The objective of this thesis is to study the existence, uniqueness and stability of positive, periodic and bounded solutions for four …rst order delay
di¤erential equations with iterative terms.
For achieving our target, we convert each problem into an equivalent integral equation whose kernel is a Green’s function, and then we apply the Krasnoselskii or Schauder …xed point theorems with the help of some properties
of the obtained kernel and some functional analysis tools in order to establish
the existence results. Whereas the uniqueness and continuous dependence
results are obtained by using the Banach contraction mapping principle. In
addition, many illustrative examples are exhibited to demonstrate the validity of our theoretical …ndings which are novel and complement some existing
results in the literature.