Results 11 to 20 of about 1,498 (180)

Homotopy Analysis Method to Solve Two-Dimensional Nonlinear Volterra-Fredholm Fuzzy Integral Equations

open access: yesFractal and Fractional, 2020
The main goal of the paper is to present an approximate method for solving of a two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). It is applied the homotopy analysis method (HAM).
Atanaska Georgieva, Snezhana Hristova
doaj   +1 more source

Cascade-Forward Neural Network for Volterra Integral Equation Solution

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2021
The method of solving volterra integral equation by using numerical solution is a simple operation but to require many memory space to compute and save the operation.
Shymaa Akram Hantoush Alrubaie
doaj   +1 more source

Singular Volterra integral equations

open access: yesApplied Mathematics Letters, 2000
The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
openaire   +1 more source

On Solutions of a Nonlinear Erdélyi-Kober Integral Equation

open access: yesAbstract and Applied Analysis, 2014
We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.
Nurgali K. Ashirbayev   +2 more
doaj   +1 more source

Solvability of a Volterra–Stieltjes integral equation in the class of functions having limits at infinity

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

Eigenvalues of Volterra Operator [PDF]

open access: yesITM Web of Conferences
Integral equations frequently appear in many mechanics problems. Several of them are grouped based on the location of an unknown function or the integration interval. Here we have a boundary problem that will be rearranged into Volterra integral equation.
Maharani Dian   +7 more
doaj   +1 more source

Inverse problem for a nonlinear partial differential equation of the eighth order

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We study the questions of solvability of the inverse problem for a nonlinear partial differential equation of the eighth order, left-hand side of which is the superposition of pseudoparabolic and pseudohyperbolic operators of the fourth order.
Tursun K Yuldashev
doaj   +1 more source

SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov   +1 more
doaj   +1 more source

General functional-integral Volterra equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007
We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
doaj   +1 more source

Solvability of an Integral Equation of Volterra-Wiener-Hopf Type

open access: yesAbstract and Applied Analysis, 2014
The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval 0,∞ and having a finite ...
Nurgali K. Ashirbayev   +2 more
doaj   +1 more source

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