Results 21 to 30 of about 51,458 (317)

Linear Fredholm Integral Equations and the Integral of Kurzweil [PDF]

Journal of Applied Analysis, 2002
Fredholm integral equations of the second kind of vector-valued functions (in Banach spaces) with Kurzweil or Henstock integrals are considered. A Fredholm alternative is proved and a corresponding `adjoint' equation is obtained. The results are applied for boundary value problems on intervals.
Federson, M., Bianconi, R.
openaire   +1 more source

On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet [PDF]

Proceedings of the Estonian Academy of Sciences, 2022
Differential equations with nonlocal boundary conditions are used to model a number of physical phenomena encountered in situations where data on the boundary cannot be measured directly. This study explores numerical solutions to elliptic, parabolic and
Imran Aziz, Muhammad Nisar, Siraj ul-Islam   +2 more
doaj   +1 more source

Finite-dimensional perturbations of linear operators and some applications to boundary integral equations [PDF]

, 1999
Finite-dimensional perturbing operators are constructed using some incomplete information about eigen-solutions of an original and/or adjoint generalized Fredholm operator equation (with zero index).
S.E. Mikhailov, Mikhailov, SE
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On a linear system of differential equations

Вестник КазНУ. Серия математика, механика, информатика, 2019
The linear systems of partial differential equations of the first order with the identical main parts is considered. Аpplying the well-known relation between a normal system of ordinary differential equations and a linear system of partial differential
T. М. Aldibekov, M. M. Aldazharova
doaj   +1 more source

Approximate Methods for Solving Linear and Nonlinear Hypersingular Integral Equations

Axioms, 2020
We propose an iterative projection method for solving linear and nonlinear hypersingular integral equations with non-Riemann integrable functions on the right-hand sides.
Ilya Boykov, Vladimir Roudnev, Alla Boykova   +2 more
doaj   +1 more source

Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions

Complexity, 2021
This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen   +2 more
doaj   +1 more source

Solving of Linear Volterra-Fredholm Integral Equations via Modification of Block Pulse Functions

Jurnal Matematika Integratif, 2021
A computational method based on modification of block pulse functions is proposed for solving numerically the linear Volterra-Fredholm integral equations. We obtain integration operational matrix of modification of block pulse functions on interval [0,T).
Ayyubi Ahmad
doaj   +1 more source

Hypersingular Integral Equations Encountered in Problems of Mechanics

Mathematics
In the paper, for hypersingular integral equations with new kernels, a solution is constructed using an approach based on Chebyshev orthogonal polynomials and the principle of contraction mappings.
Suren M. Mkhitaryan, Hovik A. Matevossian, Eghine G. Kanetsyan, Musheg S. Mkrtchyan   +3 more
doaj   +1 more source

Approximate solutions to several classes of Volterra and Fredholm integral equations using the neural network algorithm based on the sine-cosine basis function and extreme learning machine

Frontiers in Computational Neuroscience, 2023
In this study, we investigate a new neural network method to solve Volterra and Fredholm integral equations based on the sine-cosine basis function and extreme learning machine (ELM) algorithm.
Yanfei Lu, Shiqing Zhang, Futian Weng, Hongli Sun   +3 more
doaj   +1 more source

Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with variable coefficient [PDF]

, 2012
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2012 Taylor & Francis.In this paper, a numerical implementation of a direct united boundary-domain integral equation (BDIE ...
Mikhailov, SE, Mohamed, NA
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