ON SOLUTION OF BG-VOLTERRA INTEGRAL EQUATIONS
In this study, we center upon obtaining the solution of linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The method of successive substitutions and resolvent kernel method are applied for solving the
Nihan, Güngör
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Convergence of the Sinc method applied to Volterra integral equations [PDF]
A collocation procedure is developed for the linear and nonlinear Volterra integral equations, using the globally defined Sinc and auxiliary basis functions.
Rashidinia, J., Zarebnia, M.
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Error Estimation for Approximate Solutions of Delay Volterra Integral Equations
This work is related to inequalities in the approximation theory. Mainly, we study numerical solutions of delay Volterra integral equations by using a collocation method based on sigmoidal function approximation. Error estimation and convergence analysis
Oktay Duman, Duman, O.
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Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind
Numerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
doaj +1 more source
Nonconvolution nonlinear integral volterra equations with monotone operators
Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with nonconvolution kernels are presented in this paper.
Benítez, R., Bolós, V.J., Arias, M.R.
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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
Estimating the Dynamics of R&D-based Growth Models [PDF]
Several R&D-based models of endogenous economic growth are investigated under the Solow-like assumption of fixed allocation of resources across activities.
Yuri, YATSENKO +2 more
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Existence of solutions for mixed volterra-fredholm integral equations
In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space L 1[0, ∞). Then by using the concept of measure of weak noncompactness, we prove an existence result for a functional ...
Sadarangani, Kishin +2 more
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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
A note on the uniqueness and attractive behavior of solutions for nonlinear Volterra equations [PDF]
In this paper we prove that positive solutions of some nonlinear Volterra integral equations must be locally bounded and global attractors of positive functions.
Benítez Suárez, Rafael, Arias, M. R.
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