On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order
On some classes of Volterra integral equations in Banach space
On some contact problems for bodies with elastic inclusions.
On some differential and integro-differential equations associated with Jaocobi's differential equation.
On some generalizations Bellman-Bihari result for integro-functional inequalities for discontinuous functions and their applications.
On some integral equation
On some integrodifferential inequalities in one variable defined on an infinite interval
On some linear Volterra delay equations
On some retarded integral inequalities and applications.
On some structural properties of Banach function spaces and boundedness of certain integral operators
In this paper the notions of uniformly upper and uniformly lower -estimates for Banach function spaces are introduced. Further, the pair of Banach function spaces is characterized, where and satisfy uniformly a lower -estimate and uniformly an upper -estimate, respectively. The integral operator from into of the form is studied, where , , are prescribed functions under some local integrability conditions, the kernel is non-negative and is assumed to satisfy certain additional...
On Spline Galerkin Methods for Singular Integral Equations with Piecewise Continuous Coefficients.
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 stability of linear neutral differential equations with variable delays
We present a review of known stability tests and new explicit exponential stability conditions for the linear scalar neutral equation with two delays where and for its generalizations, including equations with more than two delays, integro-differential equations and equations with a distributed delay.
On the -integrability of singular integral transforms
In this article we study the weak type Hardy space of harmonic functions in the upper half plane and we prove the -integrability of singular integral transforms defined by Calderón-Zygmund kernels. This generalizes the corresponding result for Riesz transforms proved by Alexandrov.
On the application of measure of noncompactness to existence theorems
On the approximate solution of nonlinear singular integral equations with positive index.
On the approximate solution of some Fredholm integral equations by Newton's method.
On the approximate solution of the multi-group time-dependent transport equation by -method
This paper concerns -velocity model of the general linear time-dependent transport equation. The assumed probability of the collision (scattering, fission) depends only on the angle of the directions of the moving neutron before and after the collision. The weak formulation of the problem is given and a priori estimates are obtained. The construction of an approximate problem by -method is given. In the symmetric hyperbolic system obtained by -method dissipativity and -orthogonality of the relevant...
On the approximative solution of integral equations
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.