scholarly journals On quadratic integral equations in Orlicz spaces

2012 ◽  
Vol 387 (1) ◽  
pp. 419-432 ◽  
Author(s):  
Mieczysław Cichoń ◽  
Mohamed M.A. Metwali
Keyword(s):  
Integral Equations ◽  
Orlicz Spaces ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

scholarly journals On perturbed quadratic integral equations and initial value problem with nonlocal conditions in Orlicz spaces

2020 ◽  
Vol 53 (1) ◽  
pp. 86-94
Author(s):  
Mohamed M. A. Metwali
Keyword(s):  
Integral Equations ◽  
Initial Value Problem ◽  
Measure Of Noncompactness ◽  
Orlicz Spaces ◽  
Nonlocal Conditions ◽  
Initial Value ◽  
Hammerstein Integral Equations ◽  
Fixed Point Principle ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

AbstractThe existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces. We utilize the strategy of measure of noncompactness related to the Darbo fixed point principle. As an application, we discuss the presence of solution of the initial value problem with nonlocal conditions.

On the existence of solutions for quadratic integral equations in Orlicz spaces

2016 ◽  
Vol 66 (6) ◽  
Author(s):  
Mieczysław Cichoń ◽  
Mohamed M. A. Metwali
Keyword(s):  
Integral Equations ◽  
Existence Of Solutions ◽  
Orlicz Spaces ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

AbstractWe study quadratic integral equations in Orlicz spaces on the interval [

scholarly journals Derivation of relativistic Yakubovsky equations under Poincaré invariance

2020 ◽  
Author(s):  
Kamada Hiroyuki
Keyword(s):  
Integral Equations ◽  
Momentum Space ◽  
Iteration Method ◽  
Body Force ◽  
Space Representation ◽  
Nucleon Scattering ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

Relativistic Faddeev-Yakubovsky four-nucleon scattering equations are derived including a 3-body force. We present these equations in the momentum space representation. The quadratic integral equations using the iteration method, in order to obtain boosted potentials and 3-body force, are demonstrated.

scholarly journals Existence and stability of solutions for a system of quadratic integral equations in Banach algebras

2020 ◽  
Vol 19 (1) ◽  
pp. 203-218
Author(s):  
Said Baghdad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Integral Equations ◽  
Point Theorem ◽  
Banach Algebras ◽  
Main Tool ◽  
Stability Of Solutions ◽  
Existence And Stability ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

AbstractThe aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle. The main tool used in our considerations is the multiple fixed point theorem which is a consequence of Darbo’s fixed point theorem and the technique associated with measures of noncompactness. We also present an illustrative example.

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