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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Almost periodic function and rotation number of the Schrodinger operator
薛定谔算子 几乎周期函数 旋转数
2023/4/25
The concept of almost periodic functions is due to H. Bohr. The concept of rotation number is due to H. Poincaré. The Schr?dinger operator is named after E. Schr?dinger. I will present our work relate...
AN ALMOST PERIODIC NONCOMMUTATIVE WIENER’S LEMMA
ALMOST PERIODIC NONCOMMUTATIVE WIENER’S LEMMA
2015/9/29
We develop a theory of almost periodic elements in Banach algebras and present an abstract version of anoncommutative Wiener’s Lemma. The theory can be used, for example, to derive some of the recentl...
Strong approximation of almost periodic functions
Almost periodic functions Rate of strong approxima-tion Summability of Fourier series
2012/4/16
We consider summability methods generated by the class GM(2b). We generalize some related results of P. Pych-Taberska [Studia Math. XCVI (1990), 91-103] on strong approximation of almost periodic func...
Pointwise strong approximation of almost periodic functions
Almost periodic functions Rate of strong approximation Summability of Fourier series
2012/4/16
We consider the class GM(2b) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.
Weighted pseudo almost periodic solutions of a fractional neutral functional differential equation
Weighted pseudo almost periodic solutions fractional neutral functional differential equations Existence Banach contraction mapping theorem
2011/10/11
In this paper, by applying the properties of weighted pseudoalmost periodic functions and Banach contraction mapping theorem, a set of sufficient conditions for the existence of weighted pseudo almost...
Homogenization of a stochastic nonlinear reaction-diffusion equation with a large reaction term: the almost periodic framework
Stochastic Homogenization Almost Periodic Stochastic Reaction-Diffusion Equations Wiener Process
2011/9/21
Abstract: Homogenization of a stochastic nonlinear reaction-diffusion equation with a large non- linear term is considered. Under a general Besicovitch almost periodicity assumption on the coefficient...
Almost periodic structures and the semiconjugacy problem
periodic structures semiconjugacy problem Dynamical Systems
2011/9/20
Abstract: The description of almost periodic or quasiperiodic structures has a long tradition in mathematical physics, in particular since the discovery of quasicrystals in the early 80's. Frequently,...
Doubly-Weighted Pseudo-Almost Periodic Functions
pseudo almost periodic weight doubly-weighted pseudo-almost periodic
2011/1/21
We introduce and study a new concept called doubly-weighted pseudo-almost periodicity, which generalizes the notion of weighted pseudo-almost periodicity due to Diagana. Properties of such a new conce...
Existence of Doubly-Weighted Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Differential Equations
weight weighted pseudo-almost periodic doubly-weighted Bohr spectrum
2011/2/21
The main objective of this paper is twofold. We first show that if the doublyweighted Bohr spectrum of an almost periodic function exists, then it is either empty or coincides with the Bohr spectrum o...
On Leray's problem for almost periodic flows
Almost periodic flux channel flow Leray’s problem
2011/1/19
We prove existence and uniqueness for fully-developed (Poiseuille-type) flows in semiinfinite
cylinders, in the setting of (time) almost-periodic functions. In the case of Stepanov almostperiodic fun...
Using the notion of complete compactness introduced by H. Saar, we define completely almost periodic functionals on completely contractive Banach algebras. We show that, if $(M,\Gamma)$ is a Hopf--vo...
Bohr and Besicovitch almost periodic discrete sets and quasicrystals
Bohr and Besicovitch almost periodic discrete sets quasicrystals
2010/11/23
A discrete set $A$ in the Euclidian space is almost periodic if the measure with the unite masses at points of the set is almost periodic in the weak sense. We investigate properties of such sets in ...
Forbidden substrings, Kolmogorov complexity and almost periodic sequences
Forbidden substrings Kolmogorov complexity almost periodic sequences
2010/12/10
Assume that for some < 1 and for all nutural n a set Fn of at most 2 n “forbidden” binary strings of length n is fixed. Then there exists an infinite binary sequence ! that does not have (long) forb...
Existence of Almost Periodic Solutions For a Class of Nonlinear Duffing Equations
Duffing equations nonlinear almost periodic Stepanov almost periodic exponential dichotomy
2009/6/16
In this paper, we discuss the existence of almost periodic solutions for a class of nonlinear
Duffing equations. Some new theorems are established to ensure that the existence
of almost periodic sol...
Melnikov analysis of chaos in an epidemiological model with almost periodic incidence rates
infective models chaos, Melnikov’s method homoclinic orbit
2010/9/13
In this paper we study the well-known SIR model of epidemic dynamics with an almost periodic incidence rate. We make use of similar techniques utilized in a recent work to establish the existence of c...