Data dependence for some integral equation via weakly Picard operators.
Data dependence for some integral equation via weakly Picard operators.
Decay of solutions of some degenerate hyperbolic equations of Kirchhoff type
In this paper we study the asymptotic behavior of solutions to the damped, nonlinear vibration equation with self-interaction which is known as degenerate if , and non-degenerate if . We would like to point out that, to the author’s knowledge, exponential decay for this type of equations has been studied just for the special cases of . Our aim is to extend the validity of previous results in [5] to both to the degenerate and non-degenerate cases of . We extend our results to equations with...
Decay of solutions to the mixed problem for the linearized Boltzmann equation with a potential term in a polyhedral bounded domain
Decay rates of solutions of linear stochastic Volterra equations.
Decay rates of Volterra equations on ℝN
This note is concerned with the linear Volterra equation of hyperbolic type on the whole space ℝN. New results concerning the decay of the associated energy as time goes to infinity were established.
Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations
We present two defect correction schemes to accelerate the Petrov-Galerkin finite element methods [19] for nonlinear Volterra integro-differential equations. Using asymptotic expansions of the errors, we show that the defect correction schemes can yield higher order approximations to either the exact solution or its derivative. One of these schemes even does not impose any extra regularity requirement on the exact solution. As by-products, all of these higher order numerical methods can also be...
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.