Geodesic
Existence and controllability results for integrodifferential equations with state-dependent delay and random effects
Filomat, Tome 36 (2022) no. 4, p. 1363

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DOI

The goal of this study is to investigate the existence and uniqueness of mild solutions, as well as controllability outcomes, for random integrodifferential equations with state-dependent delay. We prove the existence and uniqueness of mild solutions in the case where the nonlinear term is of the Carathéodory type and meets various weakly compactness conditions. Our research is based on Dardo's fixed point theorem, Mönch's fixed point theorem, a random fixed point with a stochastic domain, and Grimmer's resolvent operator theory. Finally, an example is provided to demonstrate the outcomes that were obtained
DOI : 10.2298/FIL2204363D
Classification : 34G20, 60H10, 34K20, 34G20, 26A3
Keywords: Integro-differential equation, mild solution, fixed point theorem, resolvent operator, random effect, random operator, state-dependent delay, infinite delay 
Amadou Diop; Mbarack Fall; Mamadou Abdoul Diop; Khalil Ezzinbi. Existence and controllability results for integrodifferential equations with state-dependent delay and random effects. Filomat, Tome 36 (2022) no. 4, p. 1363 . doi: 10.2298/FIL2204363D
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     author = {Amadou Diop and Mbarack Fall and Mamadou Abdoul Diop and Khalil Ezzinbi},
     title = {Existence and controllability results for integrodifferential equations with state-dependent delay and random effects},
     journal = {Filomat},
     pages = {1363 },
     year = {2022},
     volume = {36},
     number = {4},
     doi = {10.2298/FIL2204363D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204363D/}
}
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