scholarly journals On a set-valued functional integral equation of Volterra-Stieltjes type

2020 ◽  
Vol 21 (04) ◽  
pp. 273-285
Author(s):  
A. M. A. El-Sayed ◽  
Sh. M. Al-Issa
Keyword(s):  
Integral Equation ◽  
Functional Integral ◽  
Stieltjes Type

scholarly journals On Chandrasekhar functional integral inclusion and Chandrasekhar quadratic integral equation via a nonlinear Urysohn–Stieltjes functional integral inclusion

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ahmed El-Sayed ◽  
Shorouk Al-Issa ◽  
Yasmin Omar
Keyword(s):  
Integral Equation ◽  
Existence Of Solutions ◽  
Functional Integral ◽  
Integral Inclusion ◽  
Quadratic Integral Equation ◽  
Quadratic Integral ◽  
Stieltjes Type

AbstractWe investigate the existence of solutions for a nonlinear integral inclusion of Urysohn–Stieltjes type. As applications, we give a Chandrasekhar quadratic integral equation and a nonlinear Chandrasekhar integral inclusion.

scholarly journals On the Weak Solutions of a Delay Composite Functional Integral Equation of Volterra-Stieltjes Type in Reflexive Banach Space

Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 245
Author(s):  
Ahmed M. A. El-Sayed ◽  
Yasmin M. Y. Omar
Keyword(s):  
Banach Space ◽  
Integral Equation ◽  
Continuous Dependence ◽  
Reflexive Banach Space ◽  
Sufficient Conditions ◽  
Functional Integral ◽  
Reflexive Banach Spaces ◽  
Delay Function ◽  
Stieltjes Type ◽  
Differential And Integral Equations

Differential and integral equations in reflexive Banach spaces have gained great attention and hve been investigated in many studies and monographs. Inspired by those, we study the existence of the solution to a delay functional integral equation of Volterra-Stieltjes type and its corresponding delay-functional integro-differential equation in reflexive Banach space E. Sufficient conditions for the uniqueness of the solutions are given. The continuous dependence of the solutions on the delay function, the initial data, and some others parameters are proved.

scholarly journals Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii's Fixed Point Theorem

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Mahmoud Bousselsal ◽  
Sidi Hamidou Jah
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Existence Of Solutions ◽  
Functional Integral ◽  
Nonlinear Integral Equations ◽  
Measure Of Weak Noncompactness ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Noncompactness Measure

We study the existence of solutions of a nonlinear Volterra integral equation in the space L1[0,+∞). With the help of Krasnoselskii’s fixed point theorem and the theory of measure of weak noncompactness, we prove an existence result for a functional integral equation which includes several classes on nonlinear integral equations. Our results extend and generalize some previous works. An example is given to support our results.

scholarly journals Existence of Solutions for Functional Integral Equation Involving the Henstock-Kurzweil-Stieltjes Integral

2017 ◽  
Vol 9 (5) ◽  
pp. 46
Author(s):  
Hui Mei ◽  
Guoju Ye ◽  
Wei Liu ◽  
Yanrong Chen
Keyword(s):  
Integral Equation ◽  
Fixed Points ◽  
Measure Of Noncompactness ◽  
Existence Of Solutions ◽  
Functional Integral ◽  
Stieltjes Integral

In this paper, we apply the method associated with the technique of measure of noncompactness and some generalizations of Darbo fixed points theorem to study the existence of solutions for a class of integral equation involving the Henstock-Kurzweil-Stieltjes integral. Meanwhile, an example is provided to illustrate our results.

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