On a theorem of Stinespring concerning integral operators of trace class.
On a trace inequality for one-sided potentials and applications to the solvability of nonlinear integral equations.
On a Volterra integral equation with deviating arguments.
On a Volterra Stieltjes integral equation.
On absorbing boundary conditions for quantum transport equations
On an inequality of Gronwall.
On an integral equation.
On an integral equation.
On an integral equation in the problem of the diffraction of a plane wave by a transparent circular cone.
On an integral equation with modified argument.
On an integral operator in the space of functions with bounded variation
On an integral operator in the space of functions with bounded variation. II.
On an integro-differential equation with a symmetric kernel.
On an inverse problem for a linear hyperbolic integrodifferential equation.
On approximate solutions of degenerate integrodifferential parabolic problems
On Bateman's Method for Second Kind Integral Equations.
On bilinear kinetic equations. Between micro and macro descriptions of biological populations
In this paper a general class of Boltzmann-like bilinear integro-differential systems of equations (GKM, Generalized Kinetic Models) is considered. It is shown that their solutions can be approximated by the solutions of appropriate systems describing the dynamics of individuals undergoing stochastic interactions (at the "microscopic level"). The rate of approximation can be controlled. On the other hand the GKM result in various models known in biomathematics (at the "macroscopic level") including...
On boundary integral equations of the first kind for the bi-laplacian in a polygonal plane domain
On boundary-value problems for partial differential equations of order higher than two
We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].
On Cauchy problem for the equations of reactor kinetics.
In this paper, the initial value problem for the equations of reactor kinetics is solved and the temperature feedback is taken into account. The space where the problem is solved is chosen in such a way that it may correspond best of all to the mathematical properties of the cross-section models. The local solution is found by the method of iterations, its uniqueness is proved and it is shown also that existence of global solution is ensured in the most cases. Finally, the problem of mild solution...