Shifted Legendre Polynomials For Solving Second Kind Fredholm Integral Equations
E. S. Shoukralla +2 more
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Solvability of some integral equations in Hilbert spaces
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
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Multiple Grid Methods for the Solution of Fredholm Integral Equations of the Second Kind [PDF]
Piet Hemker, H. Schippers
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The Study of Triple Integral Equations with Generalized Legendre Functions
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
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To the boundary value problem of ordinary differential equations
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
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Fredholm type integral equations
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.
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Convergence analysis of deep ReLU networks for solving integral equations
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
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“Spectral Method” for Determining a Kernel of the Fredholm Integral Equation of the First Kind of Convolution Type and Suppressing the Gibbs Effect [PDF]
V. S. Sizikov, Nina Rushchenko
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On Generalized (α, ψ, MΩ)-Contractions with w-Distances and an Application to Nonlinear Fredholm Integral Equations [PDF]
Hossein Lakzian +4 more
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On the Convergence of the Approximate Solution to the Optimization Problem for Oscillatory Processes
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
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