Singular backward stochastic Volterra integral equations in infinite dimensional spaces
In this paper, the notion of singular backward stochastic Volterra integral equations (singular BSVIEs for short) in infinite dimensional space is introduced, and the corresponding well-posedness is carefully established.
Wang, Tianxiao, Zheng, Mengliang
core
Solvability of Volterra-Stieltjes operator-integral equations and their applications
We investigate a class of operator-integral equations of Volterra-Stieltjes type and we study the solvability of those equations in the space of continuous functions. Equations in question create a generalization of numerous integral equations considered
Sadarangani, K. +3 more
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Long-time behavior of Volterra integral equations on time scales and stability of numerical methods
Recently, there has been a growing interest in Volterra integral equations on time scales as they represent a powerful instrument for the mathematical representation of memory dependent phenomena in population dynamic, economy, etc.
A. Vecchio, E. Messina
core
Distributed-memory parallelization of an explicit time-domain volume integral equation solver on Blue Gene/P [PDF]
Two distributed-memory schemes for efficiently parallelizing the explicit marching-on in-time based solution of the time domain volume integral equation on the IBM Blue Gene/P platform are presented.
Cheeseman, M, Bağcı, H, Al-Jarro, A
core
Taylor polynomial solutions of volterra integral equations
The method of Kanwal and Liu for the solution of Fredholm integral equations is applied to certain linear and nonlinear Volterra integral equations of the second kind.
Sezer, Mehmet
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Homotopy perturbation method: a versatile tool to evaluate linear and nonlinear fuzzy Volterra integral equations of the second kind. [PDF]
Narayanamoorthy S, Sathiyapriya SP.
europepmc +1 more source
UNIFORMLY VALID SOLUTIONS TO VOLTERRA INTEGRAL EQUATIONS.
UNIFORMLY VALID SOLUTIONS TO VOLTERRA INTEGRAL ...
RINA. LING (7978298)
core
Theoretical and numerical results about some weakly singular Volterra-Fredholm equations
In this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given.
F. Calió, E. Marchetti, V. Mureșan
doaj
ALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONS [PDF]
Here a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and ...
doaj
The Numerical Solution of Volterra Integral Equations
Recently we studied a collocation–quadrature method in weighted L2 spaces as well as in the space of continuous functions for a Volterra-like integral equation of the form u(x)−∫αx1h(x−αy)u(y)dy=f(x),0<x<1, where h(x) (with a possible singularity at x=0) and f(x) are given (in general complex-valued) functions, and α∈(0,1) is a fixed parameter ...
openaire +1 more source

