On infinite systems of Volterra integral equations in Banach spaces
On integral equations in a Banach space
On integral representation to solutions for a differential equation with singular coefficients.
On Operators with Bounded Imaginary Powers in Banach Spaces.
On some linear Volterra delay equations
On stability and robust stability of positive linear Volterra equations in Banach lattices
We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
On the Boundedness and the Asymptotic Behaviour of the Non-Negative Solutions of Volterra-Hammerstein Integral Equations.
On the convolution equations over the quarter-plane.
On the existence and uniqueness of integrable solutions of functional equations in Banach space.
On the existence and uniqueness of solution of the Cauchy problem for a class of linear integro-differential equations
On the existence of locally attractive solutions of a nonlinear quadratic Volterra integral equation of fractional order.
On the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane's stochastic integral equations.
In this paper we use the Schauder fixed point theorem and methods of integral inequalities in order to prove a result on the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane stochastic integral equations.
On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel
On the global solvability of the Cauchy problem for singular functional differential equations.
On the oscillation of a Volterra integral equation
On the positivity and zero crossings of solutions of stochastic Volterra integrodifferential equations.
On the power boundedness of certain Volterra operator pencils
Let V be the classical Volterra operator on L²(0,1), and let z be a complex number. We prove that I-zV is power bounded if and only if Re z ≥ 0 and Im z = 0, while I-zV² is power bounded if and only if z = 0. The first result yields as n → ∞, an improvement of [Py]. We also study some other related operator pencils.
On the quadrature error in operational quadrature methods for convolutions.
On the solution of some simple fractional differential equations.
On the structure of -solution sets of integral equations in Banach spaces