Further Results on Lyapunov Functions for Slowly Time-Varying Systems [PDF]
Mathematics of Control, Signals, and Systems, 2006 We provide general methods for explicitly constructing strict Lyapunov functions for fully nonlinear slowly time-varying systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially ...
Malisoff, Michael, Mazenc, Frederic
core +7 more sources
Spectral shift function for slowly varying perturbation of periodic Schrödinger operators [PDF]
Cubo, 2012 In this paper we study the asymptotic expansion of the spectral shift function for the slowly varying perturbations of periodic Schrödinger operators.
Mouez Dimassi, Maher Zerzeri
doaj +4 more sources
Augmented brain function by coordinated reset stimulation with slowly varying sequences
Frontiers in Systems Neuroscience, 2015 Several brain disorders are characterized by abnormally strong neuronal synchrony. Coordinated Reset (CR) stimulation was developed to selectively counteract abnormal neuronal synchrony by desynchronization.
Magteld eZeitler +3 more
doaj +4 more sources
Elliptic operators on refined Sobolev scales on vector bundles
Open Mathematics, 2017 We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product Hörmander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata. We
Zinchenko Tetiana
doaj +3 more sources
On Properties of Karamata Slowly Varying Functions with Remainder and Their Applications
MathematicsIn this paper, we study the asymptotic properties of slowly varying functions of one real variable in the sense of Karamata. We establish analogs of fundamental theorems on uniform convergence and integral representation for slowly varying functions with
Azam A. Imomov +2 more
doaj +2 more sources
Oscillation criteria for linear difference equations with several variable delays [PDF]
Opuscula Mathematica, 2021 We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by ...
Vasileios Benekas +3 more
doaj +1 more source
The research of some classes of almost periodic at infinity functions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article under consideration is devoted to continuous almost periodic at infinity functions defined on the whole real axis and with their values in a complex Banach space.
Vysotskaya, Irina A. +1 more
doaj +1 more source
Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article is devoted to homogeneous spaces of functions defined on a locally compact Abelian group and with their values in a complex Banach space.
Strukova, Irina Igorevna
doaj +1 more source
On regular variation of entire Dirichlet series
Математичні Студії, 2023 Consider an entire (absolutely convergent in $\mathbb{C}$) Dirichlet series $F$ with the exponents $\lambda_n$, i.e., of the form $F(s)=\sum_{n=0}^\infty a_ne^{s\lambda_n}$, and, for all $\sigma\in\mathbb{R}$, put $\mu(\sigma,F)=\max\{|a_n|e^{\sigma ...
P. V. Filevych, O. B. Hrybel
doaj +1 more source
Asymptotics of the Sum of a Sine Series with a Convex Slowly Varying Sequence of Coefficients
Mathematics, 2021 We study the asymptotic behavior in a neighborhood of zero of the sum of a sine series g(b,x)=∑k=1∞bksinkx whose coefficients constitute a convex slowly varying sequence b.
Aleksei Solodov
doaj +1 more source