An existence theorem for the Urysohn integral equation in Banach spaces
An existence theorem for Volterra integrodifferential equations with infinite delay.
An Extrapolation Method with Step Size Control for Nonlinear Volterra Integral Equations.
An immediate analysis for global superconvergence for integrodifferential equations
In this paper we study the finite element approximations to the parabolic and hyperbolic integrodifferential equations and present an immediate analysis for global superconvergence for these problems, without using the Ritz projection or its modified forms.
An improved exponential decay result for some semilinear integrodifferential equations
We prove exponential decay for the solution of an abstract integrodifferential equation. This equation involves coefficients of polynomial type, weakly singular kernels as well as different powers of the unknown in some norms.
An inequality involving positive kernels
An initial value problem fora third order differential equation
For an initial value problem u'''(x) = g(u(x)), u(0) = u'(0) = u''(0) = 0, x > 0, some theorems on existence and uniqueness of solutions are established.
An integral equation associated with linear homogeneous differential equations.
An integral equation for perturbed nonlinear functional differential equations, with applications to periodic solutions and nonlinear boundary value problems.
An integral equation in conformal geometry
An integral equation technique for solving mixed boundary value problems
An integral inequality of convolution type.
An integral inequality of convolution type. (Summary).
An Integral Inequality Similar to Bellman-Bihari inequality
An inversion problem for singular integral operators on homogeneous groups
An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation
One parabolic integrodifferential problem in the abstract real Hilbert spaces is studied in this paper. The semidiscrete and full discrete approximate solution is defined and the error estimate of Rothe's function in some function spaces is established.
An iterative method for computing the eigenvalues of second kind Fredholm operators and applications.
An operational Haar wavelet method for solving fractional Volterra integral equations
A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.
An optimal order yielding discrepancy principle for simplified regularization of ill-posed problems in Hilbert scales.
An oscillation criterion for inhomogeneous Stieltjes integro-differential equations.