Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation-Reference-Cited by-同舟云学术

Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation

Published:2021-01-01 Issue:1 Volume:54 Page:25-36
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

El-Sayed Ahmed M. A.¹,Omar Yasmin M. Y.²

Affiliation:

1. Faculty of Science, Alexandria University , Alexandria , Egypt

2. Faculty of Science, Omar Al-Mukhtar University , Al Bayda , Libya

Abstract

Abstract In this work, we study the existence of one and exactly one solution

x ∈ C [ 0 , 1 ]

x\in C\left[0,1]

, for a delay quadratic integral equation of Volterra-Stieltjes type. As special cases we study a delay quadratic integral equation of fractional order and a Chandrasekhar cubic integral equation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2021-0003/pdf

Reference24 articles.

1. J. Banaś and A. Martinon, Monotonic solutions of a quadratic integral equation of Volterra type, Comput. Math. Appl. 47 (2004), 271–279.

2. J. Banaś and B. Rzepka, An application of a measure of noncompactness in the study of asymptotic stability, Appl. Math. Lett. 16 (2003), 1–6.

3. J. Banaś and B. Rzepka, On existence and asymptotic stability of solutions of nonlinear integral equation, J. Math. Anal. Appl. 284 (2003), no. 1, 165–173.

4. J. Banaś and B. Rzepka, Monotonic solutions of a quadratic integral equations of fractional-order, J. Math. Anal. Appl. 332 (2007), 1370–11378.

5. J. Banaś and B. Rzepka, Nondecreasing solutions of a quadratic singular Volterra integral equation, Math. Comput. Model. 49 (2009), no. 3–4, 488–496.

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