Asymptotic stability of nonlinear neutral delay integro-differential equations-Reference-Cited by-同舟云学术

Asymptotic stability of nonlinear neutral delay integro-differential equations

Published:2023-02-01 Issue:1 Volume:73 Page:103-118
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Nowak Grzegorz¹,Saker Samir H.²³,Sikorska-Nowak Aneta⁴

Affiliation:

1. WSB University in Poznań Al. Niepodleglości 2, 61-891 Poznań Poland

2. Department of Mathematics Faculty of Science, Mansoura University Mansoura 35516 Egypt

3. Department of Mathematics Faculty of Science, New Mansoura University New Mansoura City Egypt

4. Faculty of Mathematics and Computer Science Adam Mickiewicz University Uniwersytetu Poznańskiego 4, 61-615 Poznań Poland

Abstract

Abstract In this paper, by using Sadovskii’s fixed point theorem and the properties of the measure of noncompactness, we establish some sufficient conditions for the asymptotic stability results of nonlinear neutral integro-differential equations with variable delays. The results presented in this paper improve and generalize some results in the literature. An example is considered to illustrate our main results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2023-0011/pdf

Reference27 articles.

1. Ambrossetti, A.: Un teorema di esistenza per le equazioni differenziali negli spazi di Banach, Rend. Sem. Mat. Univ. Padova 39 (1967), 349–360.

2. Ardjouni, A.—Djoudi, A.: Fixed points and stability in linear neutral differential equations with variable delays, Nonlinear Anal. 74 (2011), 2062–2070.

3. Ardjouni, A.—Djoudi, A.: Stability in nonlinear neutral differential with variable delays using fixed point theory, Electron. J. Qual. Theory Differ. Equ. 2011 (2011), Art. No. 43.

4. Ardjouni, A.—Djoudi, A.: Fixed points and stability in linear neutral differential equations with variable delays, Opuscula Math. 32(1) (2012), 5–9.

5. Ardjouni, A.—Djoudi, A.—Soualhia, I.: Stability for linear neutral integro-differential equations with variable delays, Electron. J. Qual. Theory Differ. Equ. 2012 (2012), Art. No. 172.

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