In this paper we introduce a stability radius for a wide class of linear innnite-dimensional time-varying systems under structured time{varying perturbations. A framework is presented which allows the same degree of unboundedness in the perturbations as in the generator of the nominal model.

We extend the notion of a spectral scale to n-tuples of unbounded operators affiliated with a finite von Neumann Algebra. We focus primarily on the single-variable case and show that many of the results from the bounded theory go through in the unbounded situation. We present the currently available material on the unbounded multivariable situation. Sufficient conditions for a set to be a spect...

A coupled model based on finite element method (FEM) and scaled boundary finite element method (SBFEM) for transient dynamic response of large-scale SSI systems is presented. The wellestablished FEM is used for modeling the near-field bounded domains. A local high-order transmitting boundary, which is based on SBFEM and the improved continued fraction solution for the dynamic stiffness matrix, ...

‎Let $\Omega_X$ be a bounded‎, ‎circular and strictly convex domain in a complex Banach space $X$‎, ‎and $\mathcal{H}(\Omega_X)$ be the space of all holomorphic functions from $\Omega_X$ to $\mathbb{C}$‎. ‎The growth space $\mathcal{A}^\nu(\Omega_X)$ consists of all $f\in\mathcal{H}(\Omega_X)$‎ ‎such that $$|f(x)|\leqslant C \nu(r_{\Omega_X}(x)),\quad x\in \Omega_X,$$‎ ‎for some constant $C>0$‎...

We study the numerical solution of scalar time-harmonic wave equations on unbounded domains which can be split into a bounded interior domain primary interest and an exterior with separab...

Reduplication, the remaining problem in computational morphology is a morphological process that involves copying the base form wholly or partially. Reduplication can also be classified as either bounded or unbounded reduplication. Some solutions have been proposed for bounded reduplication. Some of the proposed solutions use ordered replace rules while others use simultaneous two-level rules. ...

We prove the existence and Besov regularity of density solution to a general parabolic SPDE which includes stochastic Burgers equation on an unbounded domain. use elementary approach based fractional integration by parts.

We introduce parameterised data-aware multiagent systems, a formalism to reason about the temporal properties of arbitrarily large collections of homogeneous agents, each operating on an infinite data domain. We show that their parameterised verification problem is semi-decidable for classes of interest. This is demonstrated by separately addressing the unboundedness of the number of agents and...

Statistical analysis and modelling of various phenomena are well established in nowadays industrial practice. However, the traditional approaches neglecting the true properties of the phenomena still dominate. Among others, this includes also the cases when a variable with bounded range is analyzed using probabilistic distributions with unbounded domain. Since many of those variables nearly ful...