Existence and Ulam-Hyers Stability of Mild Solutions for Impulsive Integro-Differential Systems Via Resolvent Operators
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Abstract
The aim of this paper is to present existence, Ulam-Hyers-Rassias stability and continuous dependence on initial conditions for the mild solution of impulsive integro-differential systems via resolvent operators. Our analysis is based on fixed point theorem with generalized measures of noncompactness, this approach is combined with the technique that uses convergence to zero matrices in generalized Banach spaces. An example is presented to illustrate the efficiency of the result obtained.
Description
Bensalem, Abdelhamid/0009-0008-9169-148X
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Keywords
Fixed Point Theory, Integro-Differential System, Generalized Measure Of Noncompactness, Condensing Operator, Ulam-Hyers-Rassias Stability, Controllability, Integro-ordinary differential equations, Fixed-point theorems, fixed point theory, Ulam-Hyers-Rassias stability, Stability theory for integral equations, integro-differential system, Global stability of solutions to ordinary differential equations, condensing operator, generalized measure of noncompactness, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
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Bensalem, Abdelhamid...et al. "EXISTENCE AND ULAM-HYERS-RASSIAS STABILITY OF MILD SOLUTIONS FOR IMPULSIVE INTEGRO-DIFFERENTIAL SYSTEMS VIA RESOLVENT OPERATORS", MATHEMATICAL FOUNDATIONS OF COMPUTING.
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OpenCitations Citation Count
3
Volume
8
Issue
2
Start Page
209
End Page
231
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CrossRef : 1
Scopus : 6
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