On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations

Said Baghdad; Mouffak Benchohra

doi:10.36753/mathenot.559244

EN

On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations

Abstract

In this paper we provide sufficient condition guaranteeing existence and the asymptotic behavior of

solutions of a class of Hadamard–Volterra integral equations in the Banach space of continuous and

bounded functions on unbounded interval. The main tools used in our considerations are the concept of

measure of noncompactness in conjunction with the Darbo and Mönch fixed point theorems.

Keywords

Hadamard–Volterra integral equations,Fixed-point theorems,Measure of noncompactness,Asymptotic behavior

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Said Baghdad This is me

Mouffak Benchohra

Publication Date

April 30, 2019

Submission Date

May 8, 2018

Acceptance Date

-

Published in Issue

Year 2019 Volume: 7 Number: 1

DOI

https://doi.org/10.36753/mathenot.559244

IZ

https://izlik.org/JA44BT27LP

APA

Baghdad, S., & Benchohra, M. (2019). On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations. Mathematical Sciences and Applications E-Notes, 7(1), 39-46. https://doi.org/10.36753/mathenot.559244

AMA

1.Baghdad S, Benchohra M. On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations. Math. Sci. Appl. E-Notes. 2019;7(1):39-46. doi:10.36753/mathenot.559244

Chicago

Baghdad, Said, and Mouffak Benchohra. 2019. “On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations”. Mathematical Sciences and Applications E-Notes 7 (1): 39-46. https://doi.org/10.36753/mathenot.559244.

EndNote

Baghdad S, Benchohra M (April 1, 2019) On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations. Mathematical Sciences and Applications E-Notes 7 1 39–46.

IEEE

[1]S. Baghdad and M. Benchohra, “On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations”, Math. Sci. Appl. E-Notes, vol. 7, no. 1, pp. 39–46, Apr. 2019, doi: 10.36753/mathenot.559244.

ISNAD

Baghdad, Said - Benchohra, Mouffak. “On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations”. Mathematical Sciences and Applications E-Notes 7/1 (April 1, 2019): 39-46. https://doi.org/10.36753/mathenot.559244.

JAMA

1.Baghdad S, Benchohra M. On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations. Math. Sci. Appl. E-Notes. 2019;7:39–46.

MLA

Baghdad, Said, and Mouffak Benchohra. “On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations”. Mathematical Sciences and Applications E-Notes, vol. 7, no. 1, Apr. 2019, pp. 39-46, doi:10.36753/mathenot.559244.

Vancouver

1.Said Baghdad, Mouffak Benchohra. On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations. Math. Sci. Appl. E-Notes. 2019 Apr. 1;7(1):39-46. doi:10.36753/mathenot.559244

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