Results 81 to 90 of about 466,993 (231)
Existence and Stability of a Class of Nonlinear Volterra Integral Equations [PDF]
Stanley I. Grossman
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Backward Doubly Stochastic Integral Equations of the Volterra Type [PDF]
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
Some problems in nonlinear Volterra integral equations [PDF]
John A. Nohel
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Symbolic Iterative Solution of Volterra Integral Equations [PDF]
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]
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
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.
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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
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To the solution of one pseudo-Volterra integral equation
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
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On the Variational Iteration Method for the Nonlinear Volterra Integral Equation [PDF]
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
Comparison theorems and integral inequalities for Volterra integral equations [PDF]
Paul R. Beesack
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