Results 91 to 100 of about 3,298 (223)

Numerical and analytic method for solvingproposal New Type for fuzzy nonlinear volterra integral equation

open access: yes, 2016
In this paper, we proved the existence and uniqueness and convergence of the solution of new type for nonlinear fuzzy volterra integral equation . The homotopy analysis method are proposed to solve the new type fuzzy nonlinear Volterra integral equation .
Hasan, Sameer Qasim   +1 more
core   +1 more source

Oscillations of Volterra integral equations with delay

open access: yesTohoku Mathematical Journal, 1993
Consider the Volterra integral equation with delays \(x(t)=f(t)-\int_ 0^ t K(t,s,x_ s)ds\), \(t\geq 0\), where \(f\in C(\mathbb{R}^ +,\mathbb{R})\), \(K(t,s,\varphi)\) is continuous in \(t\) and \(\varphi\), and maps bounded sets into bounded sets.
Karakostas, George   +2 more
openaire   +4 more sources

Embedding Stieltjes-Volterra integral equations in Stieltjes integral equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1977
J. A. Reneke has shown that the linear Stieltjes-Volterra integral equations studied by D. B. Hinton can be transformed into Stieltjes integral equations of the type studied by J. S. Mac Nerney. By taking advantage of the nonlinear nature of Mac Nerney’s results, Reneke was able to extend Hinton’s existence theorem to a nonlinear setting. In this paper,
openaire   +1 more source

Convergence of a collocation scheme for a retarded potential integral equation

open access: yes, 2003
Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
core  

Linear system of the volterra integral equation with a polar kernel [PDF]

open access: yes, 2012
In this study, are considered integral equation with a polar kernel. Initial value problems for hyperbolic equations with function coefficients provides integral equation with 3-D Volterra type. Existence and uniqueness theorems of the volterra integral
Şen, Maide
core  

Volterra method for the radial Schrödinger equation

open access: yes, 2004
A new Volterra type integral equation method for the numerical solution of the radial Schrödinger equation is investigated. The method, carried out in configuration space, is based on the conversion of differential equations into a system of Volterra ...
Kang, Sheon-Young
core   +1 more source

A Singular Nonlinear Volterra Integral Equation

open access: yesJournal of Integral Equations and Applications, 1993
Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
openaire   +4 more sources

Fredholm-Volterra Integral Equation in the Contact Problem

open access: yes, 2002
In this paper, under certain condition the Fredholm-Volterra integral equation of the first kind is solved. The existence. and uniqueness of the solution is considered.
A. El-Bary
core   +1 more source

Numerical algorithms to solve one inverse problem for Navier–Stokes equations

open access: yesNonlinear Analysis
This model describes the Poiseuille type solution in the nonstationary case of the Navier–Stokes problem. An equivalent form of PDE problem is defined as the first-kind Volterra integral equation.
Raimondas Čiegis
doaj   +1 more source

A mechanical algorithm for solving the Volterra integral equation

open access: yes, 2008
In this paper, by using the theories and methods of integral equation and computer algebra, a reliable algorithm for solving the Volterra integral equation is established, and a new Maple algorithm mainproc is established, too.
Weiming Wang
core  

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