Results 11 to 20 of about 3,512 (232)

Constructive method for solvability of Fredholm equation of the first kind

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
The solvability and construction of the general solution of the first kind Fredholm integral equation are among the insufficiently explored problems in mathematics. There are various approaches to solve this problem.
Serikbai Aisagaliev, Zhanat Zhunussova
doaj   +1 more source

Inverse problem for a Fredholm third order partial integro-differential equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj   +1 more source

On a Fredholm-Volterra integral equation [PDF]

open access: yesStudia Universitatis Babes-Bolyai Matematica, 2021
"In this paper we give conditions in which the integral equation $$x(t)=\displaystyle\int_a^c K(t,s,x(s))ds+\int_a^t H(t,s,x(s))ds+g(t),\ t\in [a,b],$$ where $a<c<b$, $K\in C([a,b]\times [a,c]\times \mathbb{B},\mathbb{B})$, $H\in C([a,b]\times [a,b]\times \mathbb{B},\mathbb{B})$, $g\in C([a,b],\mathbb{B})$, with $\mathbb{B}$ a (real or complex ...
Filip, Alexandru-Darius, Rus, Ioan A.
openaire   +2 more sources

An inverse problem for a nonlinear Fredholm integro-differential equation of fourth order with degenerate kernel

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
doaj   +1 more source

Solving linear Fredholm fuzzy integral equations of the second kind by artificial neural networks

open access: yesAlexandria Engineering Journal, 2014
This paper deals with the solutions of fuzzy Fredholm integral equations using neural networks. Based on the parametric form of a fuzzy number, a Fredholm fuzzy integral equation converts to two systems of integral equations of the second kind in the ...
Hadi Hosseini Fadravi   +2 more
doaj   +1 more source

New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications

open access: yesAbstract and Applied Analysis, 2014
Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
doaj   +1 more source

CAS Wavelet and its Applications in Approximation of a function belonging to Holder's class Hα [0; 1) and Solution of Fredholm Integral Equation of Second Kind

open access: yesRatio Mathematica, 2020
In this paper, cosine and sine wavelet is considered. Two new CAS wavelet estimators E(1) 2k;2M+1(f) and E(2) 2k;2M+1(f) for the approximation of a function f whose first derivative f' and second derivative f '' belong to Hölder's class Hα [0; 1) of ...
Shyam Lal, Satish Kumar
doaj   +1 more source

Sixth-Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels

open access: yesJournal of Function Spaces, 2023
In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels.
Abeer M. Al-Bugami   +2 more
doaj   +1 more source

Eigenvalue problem for differential Cauchy-Riemann operator with nonlocal boundary conditions

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We consider the reduced spectral problem for the Cauchy-Riemann operator with nonlocal boundary conditions to Fredholm linear integral equation of the second kind with a continuous kernel. The corresponding Fredholm determinant is defined for all spectral
Nurlan N Imanbaev
doaj   +1 more source

To the numerical solution of singular integro-differential Prandtl equation by the method of orthogonal polynomials

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2019
In the paper, computational schemes for solving the Cauchy problem for the singular integro-differential Prandtl equation with a singular integral over a segment of the real axis, understood in the sense of the Cauchy principal value, are constructed and
Galina A. Rasolko
doaj   +1 more source

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