scholarly journals Existence Theorems for Some Quadratic Integral Equations

1998 ◽  
Vol 222 (1) ◽  
pp. 276-285 ◽  
Author(s):  
Józef Banaś ◽  
Millenia Lecko ◽  
Wagdy Gomaa El-Sayed
Keyword(s):  
Integral Equations ◽  
Existence Theorems ◽  
Quadratic Integral ◽  
Quadratic Integral Equations

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.

scholarly journals ANALYTICAL RESULTS FOR QUADRATIC INTEGRAL EQUATIONS WITH PHASE-CLAG TERM

2020 ◽  
Vol 10 (4) ◽  
pp. 1588-1598
Author(s):  
Mohammed Abdou ◽  
◽  
Abdelkrim Soliman ◽  
Mohammed Abdel-Aty ◽  
Keyword(s):  
Integral Equations ◽  
Analytical Results ◽  
Quadratic Integral ◽  
Quadratic Integral Equations
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