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Stability of solutions of systems of Volterra integral equations [PDF]

open access: yesarXiv, 2023
In this paper we propose new sufficient conditions for stability of solutions of systems of Volterra linear integral equations and systems of linear integro-differential Volterra equations. Solution stability conditions for systems of Volterra linear integral equations are studied with perturbed right hand sides of the equations.
arxiv  

Volterra integral equations and some nonlinear integral equations with variable limit of integration as generalized moment problems [PDF]

open access: yes, 2015
In this paper we will see that, under certain conditions, the techniques of generalized moment problem will apply to numerically solve an Volterra integral equation of first kind or second kind.
Pintarelli, María Beatriz
core   +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

On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation

open access: yesAbstract 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
doaj   +1 more source

Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]

open access: yesOpuscula Mathematica, 2015
The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
doaj   +1 more source

COVID-19 Pandemic Analysis by the Volterra Integral Equation Models: A Preliminary Study of Brazil, Italy, and South Africa [PDF]

open access: yes, 2022
The COVID-19 pandemic has affected many people throughout the world. The objective of this research project was to find numerical solutions through the Gaussian Quadrature Method for the Volterra Integral Equation Model.
Dehetre, Emma   +2 more
core   +1 more source

Solutions of a quadratic Volterra–Stieltjes integral equation in the class of functions converging at infinity

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space

open access: yesJournal of Taibah University for Science, 2021
In this paper, we consider a generalized triangular norm on matrix and introduce Menger Banach matrix valued spaces. Next, we apply a class of random matrix control functions to investigate the existence, uniqueness and HUR stability of a class of ...
Reza Chaharpashlou   +2 more
doaj   +1 more source

On generalized Lotka-Volterra lattices [PDF]

open access: yes, 2002
Generalized matrix Lotka-Volterra lattice equations are obtained in a systematic way from a "master equation" possessing a bicomplex formulation.
arxiv   +1 more source

Rough surface backscatter and statistics via extended parabolic integral equation [PDF]

open access: yes, 2015
This paper extends the parabolic integral equation method, which is very effective for forward scattering from rough surfaces, to include backscatter.
Spivack, Mark, Spivack, Orsola Rath
core   +1 more source

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