Abstract Random Differential Equations With State-Dependent Delay Using Measures of Noncompactness
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Vilnius Univ, inst Mathematics & informatics
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Impulse
Average
Influence
Average
Popularity
Top 10%
Abstract
This paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces associated with the concept of measures of noncompactness. An application related to partial random differential equations with state-dependent delay is presented.
Description
Salim, Abdelkrim/0000-0003-2795-6224; Bouteffal, Zohra/0000-0002-4294-5542
Keywords
Random Differential Equations, Random Mild Solution, State-Dependent Delay, Measure Of Noncompactness, Frechet Spaces, QA299.6-433, random differential equations, measure of noncompactness, random mild solution, state-dependent delay, Fréchet spaces, Analysis, Functional-differential equations with state-dependent arguments, Stochastic functional-differential equations, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., Fixed-point theorems, Functional-differential equations in abstract spaces
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
2
Source
Nonlinear Analysis: Modelling and Control
Volume
29
Issue
3
Start Page
528
End Page
542
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Citations
Scopus : 3
SCOPUS™ Citations
3
checked on Mar 01, 2026
Web of Science™ Citations
2
checked on Mar 01, 2026
Page Views
3
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