Results 71 to 80 of about 3,512 (232)

Shifted Legendre Polynomials For Solving Second Kind Fredholm Integral Equations

open access: diamond, 2021
E. S. Shoukralla   +2 more
openalex   +1 more source

Solvability of some integral equations in Hilbert spaces

open access: yesElectronic Journal of Differential Equations, 2004
We consider an integral equation of Fredholm and Volterra type with spectral parameter depending on time. Conditions of solvability are established when the initial value of the parameter coincides with an eigenvalue of Fredholm operator.
Onur Alp Ilhan
doaj  

The Study of Triple Integral Equations with Generalized Legendre Functions

open access: yesAbstract and Applied Analysis, 2008
A method is developed for solutions of two sets of triple integral equations involving associated Legendre functions of imaginary arguments. The solution of each set of triple integral equations involving associated Legendre functions is reduced to a ...
B. M. Singh, J. Rokne, R. S. Dhaliwal
doaj   +1 more source

To the boundary value problem of ordinary differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
Method for solving of a boundary value problem for ordinary differential equations with boundary conditions at phase and integral constraints is proposed.
Serikbai Aisagaliev, Zhanat Zhunussova
doaj   +1 more source

Fredholm type integral equations

open access: yes, 2020
The aim of this thesis is to provide a comprehensive study on Fredholm Integral Equations and the methods to find exact solutions. We also seek to present some effective methods to find the exact solutions for linear and nonlinear Fredholm Integral Equations.
openaire   +1 more source

Convergence analysis of deep ReLU networks for solving integral equations

open access: yesMachine 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

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

open access: yesҚарағанды 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   +3 more
doaj   +1 more source

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