Ulam–Hyers–Rassias Stability of Neutral Functional Integrodifferential Evolution Equations with Non-instantaneous Impulses on an Unbounded Interval

In this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a class of functional integrodifferential evolution equations with state-dependent delay and non-instantaneous impulsions on infinite intervals via resolvent operators in the sense of Grimmer. Our analysis is ba...

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Vydané v:Qualitative theory of dynamical systems Ročník 22; číslo 3
Hlavní autori: Bensalem, Abdelhamid, Salim, Abdelkrim, Benchohra, Mouffak
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.09.2023
Predmet:
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Ulam–Hyers–Rassias stability
Mild solution
Resolvent operator
34K45
47H10
Fixed point theorem
State-dependent delay
Measures of noncompactness
45J05
47H08
Infinite delay
Integrodifferential equation
45M10
ISSN:1575-5460, 1662-3592
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Popis
Shrnutí:In this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a class of functional integrodifferential evolution equations with state-dependent delay and non-instantaneous impulsions on infinite intervals via resolvent operators in the sense of Grimmer. Our analysis is based on fixed point theorem with measures of noncompactness and Picard operators. Moreover, an illustrative example is considered to support our new results.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00787-y