Results 81 to 90 of about 466,993 (231)

Backward Doubly Stochastic Integral Equations of the Volterra Type [PDF]

open access: yesarXiv, 2009
In this paper, we study backward doubly stochastic integral equations of the Volterra type (BDSIEVs in short). Under uniform Lipschitz assumptions, we establish an existence and uniqueness result.
arxiv  

Symbolic Iterative Solution of Volterra Integral Equations [PDF]

open access: yesarXiv, 2016
In this work we show how auxiliary variables can be used to give an efficient method involving symbolic manipulation and Picard iteration for approximating solutions of certain Volterra integral equations.
arxiv  

Global existence of solutions to nonlinear Volterra integral equations [PDF]

open access: yesarXiv, 2019
A new method is given for proving the global existence of the solution to nonlinear Volterra integral equations. A bound on the solution is derived. The results are based on a nonlinear inequality proved by the author earlier.
arxiv  

Asymptotic analysis of a volterra integral equation

open access: yesApplied Mathematics Letters, 1988
AbstractA uniformly valid aymptotic solution is obtained for a class of perturbed Volterra integral equations, in which a naive expansion breaks down as t → ∞. The procedure used is an adaption of the formal methodology presented in [1] for the construction of a uniform asymptotic solution to Volterra equations which possess a boundary layer near t = 0.
openaire   +2 more sources

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

open access: yesInternational Journal of Differential Equations, 2018
An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan   +2 more
doaj   +1 more source

To the solution of one pseudo-Volterra integral equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper, we study a homogeneous singular integral Volterra equation of the second kind (pseudoVolterra integral equation). The singularity of the integral equation is shown. Properties of its kernel are proved.
M.T. Jenaliyev   +3 more
doaj   +1 more source

On the Variational Iteration Method for the Nonlinear Volterra Integral Equation [PDF]

open access: yesarXiv, 2019
The variational iteration method is used to solve nonlinear Volterra integral equations. Two approaches are presented distinguished by the method to compute the Lagrange multiplier.
arxiv  

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