scholarly journals On Existence of Solutions of <i>q</i>-Perturbed Quadratic Integral Equations

2016 ◽  
Vol 06 (02) ◽  
pp. 166-176
Author(s):  
Maryam Al-Yami
Keyword(s):  
Integral Equations ◽  
Existence Of Solutions ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

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 Existence of solutions for a system of Chandrasekhar’s equations in Banach algebras underweak topology

Filomat ◽  
2019 ◽  
Vol 33 (18) ◽  
pp. 5949-5957
Author(s):  
Amor Fahem ◽  
Aref Jeribi ◽  
Najib Kaddachi
Keyword(s):  
Banach Algebra ◽  
Integral Equations ◽  
Existence Of Solutions ◽  
Banach Algebras ◽  
Coupled System ◽  
Operator Matrix ◽  
Block Operator ◽  
Quadratic Integral ◽  
Continuous Operators ◽  
Quadratic Integral Equations

This paper is devoted to the study of a coupled system within fractional integral equations in suitable Banach algebra. In particular, we are concerned with a quadratic integral equations of Chandrasekhar type. The existence of solutions will be proved by applying fixed point theorem of a 2 x 2 block operator matrix defined on a nonempty, closed and convex subset of Banach algebra where the entries are weakly sequentially continuous operators.

Solvability of a 2 x 2 block operator matrix of chandrasekhar type on a Bananch algebra

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5169-5175 ◽  
Author(s):  
H.H.G. Hashem
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Existence Of Solutions ◽  
Banach Algebras ◽  
Operator Matrix ◽  
Nonlinear Operators ◽  
Block Operator Matrix ◽  
Block Operator ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

In this paper, we study the existence of solutions for a system of quadratic integral equations of Chandrasekhar type by applying fixed point theorem of a 2 x 2 block operator matrix defined on a nonempty bounded closed convex subsets of Banach algebras where the entries are nonlinear operators.

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.

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