On behaviours of functional Volterra integro-differential equations with multiple time lags
, 2018 In this paper, the authors consider a non-linear Volterra integro-differential equation (NVIDE) of first order with multiple constant time lags. They obtain new sufficient conditions on stability (S), boundedness (B), global asymptotic stability (GAS) of
C. Tunç, O. Tunç
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Smoothness of solutions of Volterra integral equations with weakly singular kernels [PDF]
Solution smoothness of Volterra integral equations with weakly singular ...
Feldstein, A., Miller, R. K.
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The asymptotic behavior of the solution of a Volterra equation [PDF]
, 1963 J. Levin
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Volterra Equations Driven by Semimartingales
The Annals of Probability, 1985 In modelling systems corrupted by noise, stochastic integral equations of Volterra type arise. \textit{M. A. Berger} and \textit{V. J. Mizel} [J. Integral Equations 2, 187-245 and 319-337 (1980; Zbl 0442.60064 and Zbl 0452.60073, resp.)] handled the white noise case and conjectured that their results could be extended to the case when Brownian motion ...
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On Volterra equations driven by semimartingales
Journal of Differential Equations, 1988 Stochastic equations of the form \[ X_ t=H_ t+\int^{t}_{0}F(t,s,X)dZ_ s \] are considered where Z is a finite- dimensional semimartingale, H is a cadlag process and F is some functional. The reasoning is based on \textit{P. Protter's} transformation rule [Ann. Probab.
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An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations
Journal of Applied Mathematics, 2018 We investigate an efficient numerical method for solving a class of nonlinear Volterra integro-differential equations, which is a combination of the parametric iteration method and the spectral collocation method.
M. H. Daliri Birjandi +2 more
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Existence and stability of a class of nonlinear Volterra integral equations [PDF]
, 1970 Stanley I. Grossman
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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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Indirect abelian theorems and a linear Volterra equation [PDF]
, 1969 Kenneth B. Hannsgen
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Error bounds for an approximate solution to the Volterra integral equation [PDF]
, 1960 John Hilzman
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