Results 151 to 160 of about 208,946 (296)

Boundary-value problems for a third-order loaded parabolic-hyperbolic equation with variable coefficients

open access: yesElectronic Journal of Differential Equations, 2015
We prove the unique solvability of a boundary-value problems for a third-order loaded integro-differential equation with variable coefficients, by reducing the equation to a Volterra integral equation.
Bozor Islomov, Umida I. Baltaeva
doaj  

Perturbations of Volterra integral equations

open access: yesJournal of Mathematical Analysis and Applications, 1969
R.K Miller, J.A Nohel, James S. W. Wong
openaire   +2 more sources

Monotone solutions of Volterra integral equations

open access: yesJournal of Mathematical Analysis and Applications, 1987
The author studies the existence of monotone (increasing or decreasing) solutions of the Volterra equation \[ x(t)=f(t)+\int^{t}_{0}k(t- s)U(s,x(s)) ds,\quad t\geq 0, \] and its special case \(x(t)=f(t)+\int^{t}_{0}k(t-s)T(x(s)) ds,\quad t\geq 0.\) A large number of sufficient conditions are given and examples where the results are applicable are also ...
openaire   +3 more sources

Numerical solution of Volterra integral equations

open access: yesNumerische Mathematik, 1972
The numerical method discussed in this paper is based on quadrature formulae. With some assumptions on the coefficients of the quadrature formula and on the integrand, convergence properties of the method for both linear and non-linear equations are established.
openaire   +3 more sources

Asymptotically periodic solutions of Volterra integral equations

open access: yesElectronic Journal of Differential Equations, 2016
We study the existence of asymptotically periodic solutions of a nonlinear Volterra integral equation. In the process, we obtain the existence of periodic solutions of an associated nonlinear integral equation with infinite delay.
Muhammad N. Islam
doaj  

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