On the global solvability of the Cauchy problem for singular functional differential equations.
On the Hammerstein equation in the space of functions of bounded -variation in the plane
In this paper we study existence and uniqueness of solutions for the Hammerstein equation in the space of function of bounded total variation in the sense of Riesz, where , and are suitable functions.
On the Hammerstein integral equations in Banach spaces
On the integral operators of the third kind.
On the interior boundary-value problem for the stationary Povzner equation with hard and soft interactions
The Povzner equation is a version of the nonlinear Boltzmann equation, in which the collision operator is mollified in the space variable. The existence of stationary solutions in is established for a class of stationary boundary-value problems in bounded domains with smooth boundaries, without convexity assumptions. The results are obtained for a general type of collision kernels with angular cutoff. Boundary conditions of the diffuse reflection type, as well as the given incoming profile, are...
On the Inversion of the Attenuated Radon Transform.
On the Karhunen-Loeve expansion for transformed processes.
We discuss the influence of the transformation {X(t)} → {f(t) X(τ(t))} on the Karhunen-Loève expansion of {X(t)}. Our main result is that, in general, the Karhunen-Loève expansion of {X(t)} with respect to Lebesgue's measure is transformed in the Karhunen-Loève expansion of {f(t) X(τ(t))} with respect to the measure f-2(t)dτ(t). Applications of this result are given in the case of Wiener process, Brownian bridge, and Ornstein-Uhlenbeck process.
On the Landau approximation in plasma physics
On the left linear Riemann problem in Clifford analysis.
On the linearized stability of age-structured multispecies populations.
On the localization of the spectrum for quasi-selfadjoint extensions of a Carleman operator
In the present work, using a formula describing all scalar spectral functions of a Carleman operator of defect indices in the Hilbert space that we obtained in a previous paper, we derive certain results concerning the localization of the spectrum of quasi-selfadjoint extensions of the operator .
On the low wave number behavior of two-dimensional scattering problems for an open arc.
On the mathematical basis of the linear sampling method.
On the nonexistence of positive solution of some singular nonlinear integral equations.
On the non-exponential decay to equilibrium of solutions of nonlinear scalar Volterra integro-differential equations.
On the number of solutions of some integral equations arising in radiative transfer.
On the Numerical Resolution of the Generalized Airfoil Equation with Possio Kernel.
On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation.
On the numerical solution of an Abel integral equation
On the numerical solution of the generalized Abel integral equation