A coupled system of integral equations in reflexive banach spaces

2012 ◽  
Vol 32 (5) ◽  
pp. 2021-2028
Author(s):  
A.M.A. El-Sayed ◽  
H.H.G. Hashem
Keyword(s):  
Banach Spaces ◽  
Integral Equations ◽  
Coupled System ◽  
Reflexive Banach Spaces ◽  
System Of Integral Equations

The Problem of Several Indentors Moving on a Viscoelastic Half-Plane

1995 ◽  
Vol 62 (2) ◽  
pp. 380-389 ◽  
Author(s):  
H. Z. Fan ◽  
G. A. C. Graham ◽  
J. M. Golden
Keyword(s):  
Steady State ◽  
Boundary Value Problem ◽  
Integral Equations ◽  
Half Plane ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Coupled System ◽  
Mixed Boundary Value Problem ◽  
System Of Integral Equations ◽  
Space And Time

The problem of several indentors moving on a viscoelastic half-plane is considered in the noninertial approximation. The solution of this mixed boundary value problem is formulated in terms of a coupled system of integral equations in space and time. These are solved numerically in the steady-state limit for the case of two indentors. The phenomena of hysteretic friction and interaction between the two indentors are explored.

scholarly journals Uniqueness of the Hadamard-type integral equations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Chenkuan Li
Keyword(s):  
Banach Spaces ◽  
Integral Equations ◽  
Coupled System ◽  
Contraction Principle ◽  
Uniqueness Of Solutions ◽  
Type Integral ◽  
Banach’S Contraction Principle

AbstractThe goal of this paper is to study the uniqueness of solutions of several Hadamard-type integral equations and a related coupled system in Banach spaces. The results obtained are new and based on Babenko’s approach and Banach’s contraction principle. We also present several examples for illustration of the main theorems.

scholarly journals Uniqueness of Solutions of the Generalized Abel Integral Equations in Banach Spaces

2021 ◽  
Vol 5 (3) ◽  
pp. 105
Author(s):  
Chenkuan Li ◽  
Hari M. Srivastava
Keyword(s):  
Banach Spaces ◽  
Integral Equations ◽  
Coupled System ◽  
Contraction Principle ◽  
Uniqueness Of Solutions ◽  
Abel Integral Equations ◽  
Banach’S Contraction Principle

This paper studies the uniqueness of solutions for several generalized Abel’s integral equations and a related coupled system in Banach spaces. The results derived are new and based on Babenko’s approach, Banach’s contraction principle and the multivariate Mittag–Leffler function. We also present some examples for the illustration of our main theorems.

scholarly journals Existence results for nonlinear coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type

2020 ◽  
Vol 53 (1) ◽  
pp. 236-248
Author(s):  
Tamer Nabil
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Nuclear Physics ◽  
Mixed Type ◽  
Coupled System ◽  
Existence Of A Solution ◽  
System Of Integral Equations ◽  
Nonlinear Coupled System ◽  
Systems Of Integral Equations ◽  
Quadratic Integral

AbstractThe combined systems of integral equations have become of great importance in various fields of sciences such as electromagnetic and nuclear physics. New classes of the merged type of Urysohn Volterra-Chandrasekhar quadratic integral equations are proposed in this paper. This proposed system involves fractional Urysohn Volterra kernels and also Chandrasekhar kernels. The solvability of a coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type is studied. To realize the existence of a solution of those mixed systems, we use the Perov’s fixed point combined with the Leray-Schauder fixed point approach in generalized Banach algebra spaces.

scholarly journals Fermion and photon gap-equations in Minkowski space within the Nakanishi integral representation method

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Cédric Mezrag ◽  
Giovanni Salmè
Keyword(s):  
Integral Representation ◽  
Minkowski Space ◽  
Integral Equations ◽  
Vector Boson ◽  
Coupled System ◽  
The Self ◽  
Consistency Check ◽  
System Of Integral Equations ◽  
Perturbative Regime ◽  
Representation Method

AbstractThe approach based on the Nakanishi integral representation of n-leg transition amplitudes is extended to the treatment of the self-energies of a fermion and an (IR-regulated) vector boson, in order to pave the way for constructing a comprehensive application of the technique to both gap- and Bethe-Salpeter equations, in Minkowski space. The achieved result, namely a 6-channel coupled system of integral equations, eventually allows one to determine the three Källén–Lehman weights for fully dressing the propagators of fermion and photon. A first consistency check is also provided. The presented formal elaboration points to embed the characteristics of the non-perturbative regime at a more fundamental level. It yields a viable tool in Minkowski space for the phenomenological investigation of strongly interacting theories, within a QFT framework where the dynamical ingredients are made transparent and under control.

scholarly journals Infinite system of integral equations in two variables of hammerstein type in C0 and ℓ1 spaces

Filomat ◽  
2019 ◽  
Vol 33 (11) ◽  
pp. 3441-3455 ◽  
Author(s):  
Ishfaq Malik ◽  
Tanweer Jalal
Keyword(s):  
Banach Spaces ◽  
Integral Equations ◽  
Measure Of Noncompactness ◽  
Infinite System ◽  
System Of Integral Equations ◽  
Condensing Operators

The principal aim of this paper is to study the solvability of infinite system of integral equations in two variables of Hammerstein type in the Banach spaces C0 and ?1 using Meir-Keeler condensing operators and measure of noncompactness. In this study we give some examples.

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