Results 1 to 10 of about 11,797 (246)

Volterra–Stieltjes integral equations and impulsive Volterra–Stieltjes integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2020
In this paper, we prove existence and uniqueness of solutions of Volterra–Stieltjes integral equations using the Henstock–Kurzweil integral. Also, we prove that these equations encompass impulsive Volterra–Stieltjes integral equations and prove the ...
Edgardo Alvarez, Rogelio Grau, Carlos Lizama, Jaqueline Mesquita   +3 more
doaj   +3 more sources

APPLICATIONS AND DEVELOPMENT OF A NEW VOLTERRA SCHEME FOR SOLVING NONLINEAR INTEGRAL EQUATIONS [PDF]

Matrix Science Mathematic
Volterra integral equations (VIEs) are extensively utilized across scientific, technological and engineeringdisciplines for modeling systems influenced by past behaviors or interactions.
Ishaq A.A., Ayinde A.M, Jimoh F.M, Bello A.K.   +3 more
doaj   +2 more sources

Some new results on interval-valued volterra integro-differential equations for caputo fractional derivative [PDF]

Scientific Reports
Volterra integro differential equations are one of the necessary tools to discuss the framework of modeling systems with memory and nonlinear behaviors comprehensively, which commonly appear in several engineering and scientific applications.
Saima Noureen, Anum Zehra, Fikadu Tesgera Tolasa   +2 more
doaj   +2 more sources

Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations

Discrete Dynamics in Nature and Society, 2021
Based on the linear multistep methods for ordinary differential equations (ODEs) and the canonical interpolation theory that was presented by Shoufu Li who is exactly the second author of this paper, we propose the linear multistep methods for general ...
Yunfei Li, Shoufu Li
doaj   +1 more source

Fractional Behaviours Modelling with Volterra Equations: Application to a Lithium-Ion Cell and Comparison with a Fractional Model

Fractal and Fractional, 2022
This paper proposes to model fractional behaviors using Volterra equations. As fractional differentiation-based models that are commonly used to model such behaviors exhibit several drawbacks and are particular cases of Volterra equations (in the kernel ...
Vincent Tartaglione, Christophe Farges, Jocelyn Sabatier   +2 more
doaj   +1 more source

Spectral technique with convergence analysis for solving one and two-dimensional mixed Volterra-Fredholm integral equation.

PLoS ONE, 2023
A numerical approach based on shifted Jacobi-Gauss collocation method for solving mixed Volterra-Fredholm integral equations is introduced. The novel technique with shifted Jacobi-Gauss nodes is applied to reduce the mixed Volterra-Fredholm integral ...
A Z Amin, A K Amin, M A Abdelkawy, A A Alluhaybi, I Hashim   +4 more
doaj   +1 more source

Existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper, we consider a class of impulsive stochastic Volterra-Levin equations. By establishing a new integral inequality, some sufficient conditions for the existence and global attractivity of periodic solution for impulsive stochastic Volterra ...
dingshi li, Daoyi Xu
doaj   +1 more source

A Unified Approach to Some Classes of Nonlinear Integral Equations

Journal of Function Spaces, 2014
We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and ...
Nurgali K. Ashirbayev, Józef Banaś, Raina Bekmoldayeva   +2 more
doaj   +1 more source

Existence of solutions for a class of nonlinear Volterra integro-dynamic equations on time scales [PDF]

Arab Journal of Mathematical Sciences
PurposeThis paper encompasses recent developments on a class of nonlinear Volterra integro-dynamic equations on arbitrary time scales. More precisely, we provide some conditions under which the considered equations have at least one, at least two and at ...
Svetlin Georgiev, Youssef N. Raffoul
doaj   +1 more source

Nonlinear Volterra Integrodifferential Equations

Journal of Mathematical Analysis and Applications, 1994
This is a continuation of the authors' earlier paper [J. Math. Anal. Appl. 139, No. 1, 78-109 (1989; Zbl 0681.45010)]. Consider the semilinear Volterra integro-differential equation \[ u'(t) + Au(t) = \int^ t_ 0 a(t,s)g \bigl( s,u(s) \bigr) ds + f \bigl( t,u(t) \bigr), \quad t > 0, \] with \(u(0) = u_ 0\), where \(-A\) generates an analytic semigroup ...
Heard, M.L., Rankin, S.M.
openaire   +2 more sources