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.
Displaying 241 – 260 of 271
On the wave equations with memory in noncylindrical domains.
Santos, Mauro L. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
On the -conditional asymptotic stability of the solutions of a nonlinear Volterra integro-differential system.
Diamandescu, Aurel (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
On the -stability of a nonlinear Volterra integro-differential system.
Diamandescu, Aurel (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
On three problems of neutron transport theory
Jan Kyncl (1986)
Aplikace matematiky
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.
Eleev, V.A., Lesev, V.N. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
On Volterra type singular integral equations.
Saginashvili, A. (2001)
Georgian Mathematical Journal
On Volterra-Stieltjes integral equations
Štefan Schwabik (1974)
Časopis pro pěstování matematiky
On weak brownian motions of arbitrary order
Hans Föllmer, Ching-Tang Wu, Marc Yor (2000)
Annales de l'I.H.P. Probabilités et statistiques
On weak solutions to a viscoelasticity model
Jaroslav Milota, Jindřich Nečas, Vladimír Šverák (1990)
Commentationes Mathematicae Universitatis Carolinae
On weighted Hadamard-type singular integrals and their applications.
Xu, Yong Jia (2007)
Abstract and Applied Analysis
One-dimensional model describing the non-linear viscoelastic response of materials
Tomáš Bárta (2014)
Commentationes Mathematicae Universitatis Carolinae
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
Z. Jackiewicz (1988)
Applicationes Mathematicae
Operadores Integrales De Hammerstein, Su Espectro Y Aplicaciones.
Mario Zuluaga Uribe (1983)
Revista colombiana de matematicas
Opérateurs intégro-différentiels méromorphes et opérateurs aux différences
Anne Duval (1987)
Annales de l'institut Fourier
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.
Kovachev, Lubomir M. (2004)
International Journal of Mathematics and Mathematical Sciences
Optimal closing of a pair trade with a model containing jumps
Stig Larsson, Carl Lindberg, Marcus Warfheimer (2013)
Applications of Mathematics
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
Valeri I. Agoshkov, Claude Bardos (2000)
ESAIM: Control, Optimisation and Calculus of Variations
Optimal control approach in inverse radiative transfer problems: the problem on boundary function
Valeri I. Agoshkov, Claude Bardos (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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.
Mikhajlov, G.A., Medvedev, I.N. (2004)
Sibirskij Matematicheskij Zhurnal