Delayed von Foerster equation.
Dependence on the parameters of the set of trajectories of the control system described by a nonlinear Volterra integral equation
In this paper the control system with limited control resources is studied, where the behavior of the system is described by a nonlinear Volterra integral equation. The admissible control functions are chosen from the closed ball centered at the origin with radius in
Derivatives of noninteger order and their applications [Book]
Determining the relaxation kernel in nonlinear one-dimensional viscoelasticity.
Die Formel des Herrn Prof. Loewy zur Darstellung von Integralgleichungen als Lösungsformel für Integralgleichungen der Lebensversicherung
Die Lösung von Summengleichungen durch die Loewy'schen Formeln zur Darstellung von Integralgleichungen nach Übertragung dieser auf endliche Differenzen
Different models of chemotherapy taking into account drug resistance stemming from gene amplification
This paper presents an analysis of some class of bilinear systems that can be applied to biomedical modelling. It combines models that have been studied separately so far, taking into account both the phenomenon of gene amplification and multidrug chemotherapy in their different aspects. The mathematical description is given by an infinite dimensional state equation with a system matrix whose form allows decomposing the model into two interacting subsystems. While the first one, of a finite dimension,...
Differential and Integral Equations [Book]
Diffusion approximation of nonlinear electron phonon collision mechanisms
Dinámica no markoviana en complejos de colisión electrón-molécula
Direct and inverse problems in the theory of materials with memory
Direct methods for the solution of singular integral equations with finite number of different zeros in pairwise.
Direct results for certain family of integral type operators.
Discounted optimal stopping for maxima in diffusion models with finite horizon.
Discrete Models of Time-Fractional Diffusion in a Potential Well
Mathematics Subject Classification: 26A33, 45K05, 60J60, 60G50, 65N06, 80-99.By generalization of Ehrenfest’s urn model, we obtain discrete approximations to spatially one-dimensional time-fractional diffusion processes with drift towards the origin. These discrete approximations can be interpreted (a) as difference schemes for the relevant time-fractional partial differential equation, (b) as random walk models. The relevant convergence questions as well as the behaviour for time tending to infinity...
Discrete spectrum of operator valued Friedrichs models
Discretization of Volterra Integral Equations of the First Kind (II).
Dissipatività e unicità per il problema dinamico unidimensionale della viscoelasticità lineare
Fissato lo spazio di Sobolev come ambiente del problema dinamico per un corpo viscoelastico unidimensionale si dimostra un teorema di unicità per la classe delle funzioni di rilassamento convesse. Si fa inoltre vedere come tale unicità sia strettamente legata allo spazio ambiente considerato.
Dissipatività ed esistenza per il problema dinamico unidimensionale della viscoelasticità lineare
In questa nota si completa la studio (iniziato in [1]) della caratterizzazione delle funzioni di rilassamento per le quali il problema dinamico della viscoelasticità lineare, con condizioni di spostamento nullo agli estremi, risulta ben posto nello spazio di Sobolev . Precisamente, per un'opportuna classe di sollecitazioni esterne, si dimostra l'esistenza della soluzione, se le funzioni di rilassamento sono positive, convesse ed hanno il modulo di elasticità all'equilibrio strettamente maggiore...
Domains of integral operators
It is shown that the proper domains of integral operators have separating duals but in general they are not locally convex. Banach function spaces which can occur as proper domains are characterized. Some known and some new results are given, illustrating the usefulness of the notion of proper domain.