Results 101 to 110 of about 25,245 (259)

Convergence analysis of deep ReLU networks for solving integral equations

Machine Learning: Science and Technology
This paper proposes a deep rectified linear unit (ReLU) neural network framework for approximating solutions to linear and nonlinear integral equations, encompassing the Urysohn equation, Hammerstein equation, and weakly singular second-kind Fredholm ...
Min Zhou, Xin Tan
doaj   +1 more source

Numerical treatments for solving nonlinear mixed integral equation

Alexandria Engineering Journal, 2016
We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
doaj   +1 more source

On random solutions of Volterra-Fredholm integral equations [PDF]

Pacific Journal of Mathematics, 1983
Existence, uniqueness and boundedness theorems for solutions of the nonlinear stochastic integral equation \[ x(t;\omega)=f(t;\omega)+\int^{t}_{0}a(t,s;\omega)g(s,x(s;\omega))ds+\i nt^{\infty}_{0}b(t,s;\omega)h(s,x(s;\omega))ds,\quad t\geq 0 \] are obtained using the admissibility theory of integral operators and contractor theory.
openaire   +3 more sources

A boundary problem with integral gluing condition for a parabolic-hyperbolic equation involving the Caputo fractional derivative

, 2013
In the present work we investigate the Tricomi problem with integral gluing condition for parabolic-hyperbolic equation with the Caputo fractional order derivative.
Akhatov, Jasurjon S., Karimov, Erkinjon T.   +1 more
core   +1 more source

Shifted Legendre Polynomials For Solving Second Kind Fredholm Integral Equations

, 2021
E. S. Shoukralla, H. A. El-Gohary, Michael A. Morgan   +2 more
openalex   +1 more source

A solution of one dimensional Fredholm integral equations of the second kind [PDF]

Fredholm integral equations of the second kind of the one dimension are numerically solved. It is proven that the numerical solution converges to the exact solution of the integral equation.
Gabrielsen, R. E.
core   +1 more source

Application of Nyström method to a Fredholm integral equation describing induction heating [PDF]

, 2015
Josef Rak
openalex   +1 more source

On the Convergence of the Approximate Solution to the Optimization Problem for Oscillatory Processes

Қарағанды университетінің хабаршысы. Математика сериясы
This article addresses the non-linear optimization problem of oscillatory processes governed by partial integro-differential equations involving a Fredholm integral operator. A distinctive feature of the problem is that both the objective functional and
E.F. Abdyldaeva, A. Kerimbekov, T.K. Yuldashev, M. Kamali   +3 more
doaj   +1 more source

On Nyström and Product Integration Methods for Fredholm Integral Equations

, 2018
The aim of this paper is to combine classical ideas for the theoretical investigation of the Nystrom method for second kind Fredholm integral equations with recent results on polynomial approximation in weighted spaces of continuous functions on bounded and unbounded intervals, where also zeros of polynomials w.r.t. exponential weights are used.
Junghanns P., Mastroianni G., Notarangelo I.   +2 more
openaire   +2 more sources

Fredholm integral equation in composed-cone metric spaces

Boundary Value Problems
The current paper introduces a novel generalization of cone metric spaces called type I and type II composed cone metric spaces. Therefore, examples of a type I and type II composed cone metric space, which is not a cone metric space, are given.
Anas A. Hijab, Laith K. Shaakir, Sarah Aljohani, Nabil Mlaiki   +3 more
doaj   +1 more source