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...

Full description

Saved in:
Bibliographic Details
Published in:Qualitative theory of dynamical systems Vol. 22; no. 3
Main Authors: Bensalem, Abdelhamid, Salim, Abdelkrim, Benchohra, Mouffak
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.09.2023
Subjects:
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
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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