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Perturbations and operator trace functions
Perturbations operator trace functions
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2011/2/21
We study the spectral functional A 7→ Tr f(D + A) for a suitable function f, a self-adjoint operator D having compact resolvent, and a certain class of bounded self-adjoint operators A.
Small Random Perturbations of a Dynamical System with Blow-up
Small Random Perturbations Dynamical System
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2010/11/22
We study small random perturbations by additive white-noise of a spatial discretization of a reaction-diffusion equation with a stable equilibrium and solutions that blow up in finite time. We prove ...
Maximal output admissible set and admissible perturbations set for nonlinear discrete systems
Discrete nonlinear systems asymptotic lyapunov stability
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2010/9/15
Maximal output admissible set and admissible perturbations set for nonlinear discrete systems