Results 21 to 30 of about 14,005 (202)

On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation

Abstract and Applied Analysis, 2014
We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. We prove the existence and uniqueness of the one point collocation solutions and the solution by the repeated trapezoidal rule for the nonlinear ...
H. S. Mamba, M. Khumalo
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On nonlinear scalar Volterra integral equations. I [PDF]

Transactions of the American Mathematical Society, 1985
The scalar nonlinear Volterra integral equation \[ u ( t ) + ∫ 0 t g ( t , s , u ( s ) ) d s = f ( t )
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Numerical Solution of Nonlinear Stochastic Itô–Volterra Integral Equations Driven by Fractional Brownian Motion Using Block Pulse Functions

Discrete Dynamics in Nature and Society, 2021
This paper presents a valid numerical method to solve nonlinear stochastic Itô–Volterra integral equations (SIVIEs) driven by fractional Brownian motion (FBM) with Hurst parameter H∈1/2,1.
Mengting Deng, Guo Jiang, Ting Ke
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A Note on Volterra Integral Equations with Power Nonlinearity

Journal of Integral Equations and Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niedziela, M., Okrasiński, W.
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Efficient Numerical Algorithm for the Solution of Nonlinear Two-Dimensional Volterra Integral Equation Arising from Torsion Problem

Advances in Mathematical Physics, 2021
In this article, an effective method is given to solve nonlinear two-dimensional Volterra integral equations of the second kind, which is arising from torsion problem for a long bar that consists of the nonlinear viscoelastic material type with a fixed ...
A. M. Al-Bugami
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On Solution of Nonlinear Abel–Volterra Integral Equation

Journal of Mathematical Analysis and Applications, 1999
The authors consider the integral equation \[ \varphi^m (x)= \frac{a(x)}{\Gamma (\alpha)}\int_0^x \frac{\varphi (t)}{(x-t)^{1-\alpha}} dt +f (x),\quad ...
Kilbas, Anatoly A., Saigo, Megumi
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Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables.
T. K. Yuldashev
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New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications

Abstract 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
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Degenerate method in mixed nonlinear three dimensions integral equation

Alexandria Engineering Journal, 2019
In this paper, a mixed nonlinear integral equation (MNIE) of The second kind of position and time is introduced. The existence Of at least one solution of this equation is discussed.
M. Basseem
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Solvability of an Integral Equation of Volterra-Wiener-Hopf Type

Abstract 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, Józef Banaś, Agnieszka Dubiel   +2 more
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