Stochastic Volterra equations of nonscalar type in Hilbert space [PDF]
arXiv, 2005 In the paper stochastic Volterra equations of nonscalar type in Hilbert space are studied. The aim of the paper is to provide some results on stochastic convolution and mild solutions to those Volterra equations. The motivation of the paper comes from a model of aging viscoelastic materials. The pseudo-resolvent approach is used.
arxiv
Comparison theorems and integral inequalities for Volterra integral equations [PDF]
, 1969 Paul R. Beesack
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Error bounds for an approximate solution to the Volterra integral equation [PDF]
, 1960 John Hilzman
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Canonical forms of certain Volterra integral operators and a method of solving the commutator equations which involve them [PDF]
, 1967 Stanley Osher
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An existence theorem for Volterra integrodifferential equations with infinite delay
Electronic Journal of Differential Equations, 2003 Using Schauder's fixed point theorem, we prove an existence theorem for Volterra integrodifferential equations with infinite delay. As an appplication, we consider an $n$ species Lotka-Volterra competitive system.
Ferenc Izsak
doaj
A starting method for solving nonlinear Volterra integral equations [PDF]
, 1967 J. T. Day
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Some methods for the solution of non-singular Volterra integro-differential equations [PDF]
, 1968 M. A. Wolfe
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Existence and Stability of a Class of Nonlinear Volterra Integral Equations [PDF]
, 1970 Stanley I. Grossman
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On solving weakly singular Volterra equations of the first kind with Galerkin approximations [PDF]
, 1976 John M. Bownds
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Polynomial Volterra processes [PDF]
arXivWe study the class of continuous polynomial Volterra processes, which we define as solutions to stochastic Volterra equations driven by a continuous semimartingale with affine drift and quadratic diffusion matrix in the state of the Volterra process. To demonstrate the versatility of possible state spaces within our framework, we construct polynomial ...
arxiv