On a Class of Retarded Partial Differential Equations.
On a class of second order integrodifferential equations
On a nonlinear integral equation
On a reliable solution of a Volterra integral equation in a Hilbert space
We consider a class of Volterra-type integral equations in a Hilbert space. The operators of the equation considered appear as time-dependent functions with values in the space of linear continuous operators mapping the Hilbert space into its dual. We are looking for maximal values of cost functionals with respect to the admissible set of operators. The existence of a solution in the continuous and the discretized form is verified. The convergence analysis is performed. The results are applied to...
On an integral operator in the space of functions with bounded variation
On infinite systems of Volterra integral equations in Banach spaces
On integral equations in a Banach space
On integral inclusions of Volterra type in Banach spaces
On non-absolute functional Volterra integral equations and impulsive differential equations in ordered Banach spaces.
On nonconvex valued Volterra integral inclusions in Banach spaces
On non-linear Volterra integral-functional equations in several variables
On quadratic integral equations of Urysohn type in Fréchet spaces.
On some classes of Volterra integral equations in Banach space
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 application of measure of noncompactness to existence theorems
On the Aronszajn property for integral equations in Banach space
For the integral equation (1) below we prove the existence on an interval of a solution with values in a Banach space , belonging to the class , . Further, the set of solutions is shown to be a compact one in the sense of Aronszajn.
On the Dirichlet and Neumann problems in multi-dimensional cone
We consider an elliptic pseudodifferential equation in a multi-dimensional cone, and using the wave factorization concept for an elliptic symbol we describe a general solution of such equation in Sobolev-Slobodetskii spaces. This general solution depends on some arbitrary functions, their quantity being determined by an index of the wave factorization. For identifying these arbitrary functions one needs some additional conditions, for example, boundary conditions. Simple boundary value problems,...
On the existence and uniqueness of integrable solutions of functional equations in Banach space.
On the existence of solutions for Volterra integral inclusions in Banach spaces.
On the existence of solutions of an integro-differential equation in Banach spaces