On the Volterra integral equation with weakly singular kernel
We give sufficient conditions for the existence of at least one integrable solution of equation . Our assumptions and proofs are expressed in terms of measures of noncompactness.
On the wave equations with memory in noncylindrical domains.
On the -conditional asymptotic stability of the solutions of a nonlinear Volterra integro-differential system.
On the -stability of a nonlinear Volterra integro-differential system.
On three problems of neutron transport theory
In this paper, the initial-value problem, the problem of asymptotic time behaviour of its solution and the problem of criticality are studied in the case of linear Boltzmann equation for both finite and infinite media. Space of functions where these problems are solved is chosen in such a vay that the range of physical situations considered may be so wide as possible. As mathematical apparatus the theory of positive bounded operators and of semigroups are applied. Main results are summarized in...
On two boundary value problems for mixed type equations with perpendicular lines of type change.
On Volterra type singular integral equations.
On Volterra-Stieltjes integral equations
On weak brownian motions of arbitrary order
On weak solutions to a viscoelasticity model
On weighted Hadamard-type singular integrals and their applications.
One-dimensional model describing the non-linear viscoelastic response of materials
In this paper we consider a model of a one-dimensional body where strain depends on the history of stress. We show local existence for large data and global existence for small data of classical solutions and convergence of the displacement, strain and stress to zero for time going to infinity.
One-step methods for neutral delay-differential equations with state dependent delays
Operadores Integrales De Hammerstein, Su Espectro Y Aplicaciones.
Opérateurs intégro-différentiels méromorphes et opérateurs aux différences
On introduit une classe d’opérateurs intégro-différentiels d’ordre infini, à coefficients méromorphes et pour lesquels les séries majorantes sont de type Dirichlet. On établit des résultats algébriques : caractérisation des éléments inversibles, théorèmes de division et de préparation. En les faisant opérer sur divers espaces de séries et de fonctions on obtient des théorèmes d’indices et des résultats de surjectivité. Après transformation de Mellin ces opérateurs permettent d’étudier les “solutions”...
Optical vortices in dispersive nonlinear Kerr-type media.
Optimal closing of a pair trade with a model containing jumps
A pair trade is a portfolio consisting of a long position in one asset and a short position in another, and it is a widely used investment strategy in the financial industry. Recently, Ekström, Lindberg, and Tysk studied the problem of optimally closing a pair trading strategy when the difference of the two assets is modelled by an Ornstein-Uhlenbeck process. In the present work the model is generalized to also include jumps. More precisely, we assume that the difference between the assets is an...
Optimal control approach in inverse radiative transfer problems : the problem on boundary function
Optimal control approach in inverse radiative transfer problems: the problem on boundary function
The paper presents some results related to the optimal control approachs applying to inverse radiative transfer problems, to the theory of reflection operators, to the solvability of the inverse problems on boundary function and to algorithms for solution of these problems.
Optimization of weighted Monte Carlo methods with respect to auxiliary variables.