Weyl almost periodic selections of multivalued maps
英文摘要：
In this work we present some results on existence of Weyl almost periodic selections of multivalued maps taking values in a complete metric space.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
继续探索
相关论文
On Equi-Weyl Almost Periodic Selections of Multivalued Maps
We prove that equi-Weyl almost periodic multivalued maps $R \ni t \to F(t)\in cl U$ have equi-Weyl almost periodic selections, where $cl U$ is the collection of non-empty closed sets of a complete metric space $U$.
math.CAmath.FA
On the behavior of periodic solutions of planar autonomous Hamiltonian systems with multivalued periodic perturbations
Aim of the paper is to provide a method to analyze the behavior of $T$-periodic solutions $x_\eps, \eps>0$, of a perturbed planar Hamiltonian system near a cycle $x_0$, of smallest period $T$, of the unperturbed system. The perturbation is represented by a $T$-periodic multivalued map which vanishes as $\eps\to0$. In several problems from nonsmooth mechanical systems this multivalued perturbation comes from the Filippov regularization of a nonlinear discontinuous $T$-periodic term. \noindent Through the paper, assuming the existence of a $T$-periodic solution $x_\eps$ for $\eps>0$ small, under…
math.CA
适用于多值后继映射的 Poincaré-Birkhoff 定理及其在周期超线性 Hamiltonian 系统中的应用
A Poincaré-Birkhoff theorem for multivalued successor maps with applications to periodic superlinear Hamiltonian systems
本文建立适用于平面非自治 Hamiltonian 系统多值后继映射的 Poincaré-Birkhoff 定理，并据此证明超线性二阶方程在小参数下存在周期解与次调和解。
math.CA
On Besicovitch Almost Periodic Selections of Multivalued Maps
We prove that Besicovitch almost periodic multivalued maps ${\bf R}\ni t \to F(t) \in cl U$ have Besicovitch almost periodic selections, where $cl U$ is the collection of non-empty closed sets of a complete metric space $U$.
math.CAmath.FA
Weyl's uniform distribution under periodic perturbation
We examine the uniform distribution theory of H. Weyl when there is a periodic perturbation present. As opposed to the classical setting, in this case the conditions for (mod 1) density and (mod 1) uniform distribution turn out to be different.
math.CA
纯点衍射与均值、贝西科维奇和外尔殆周期性
Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity
Friedrich Schiller Universität Jena（耶拿弗里德里希·席勒大学）；Universität Bielefeld（比勒费尔德大学）；MacEwan University（麦克尤恩大学）；Institute of Mathematics “Simon Stoilow” Bucharest, Romania（罗马尼亚布加勒斯特西蒙·斯托伊洛数学研究所）
研究平移有界测度的纯点衍射与均值、贝西科维奇和外尔殆周期性的关系，通过证明得出具有纯点衍射的相关条件，解决了纯点衍射理论基本问题并回答了拉加里亚斯的问题。
math.CAmath.FA
更多相关论文收起更多论文
Pure point spectrum for dynamical systems and mean almost periodicity
We consider metrizable ergodic topological dynamical systems over locally compact, $σ$-compact abelian groups. We study pure point spectrum via suitable notions of almost periodicity for the points of the dynamical system. More specifically, we characterize pure point spectrum via mean almost periodicity of generic points. We then go on and show how Besicovitch almost periodic points determine both eigenfunctions and the measure in this case. After this, we characterize those systems arising from Weyl almost periodic points and use this to characterize weak and Bohr almost periodic systems. Fi…
math.CAmath.DS
准周期函数的表示与贝西科维奇几乎周期函数的豪斯多夫-扬不等式
Representation of quasi-periodic functions and Hausdorff-Young inequalities for Besicovitch almost periodic functions
本文研究了准周期函数的表示及其与贝西科维奇几乎周期函数的豪斯多夫-扬不等式的关系，通过建立Banach代数的同构关系，给出了简化的不等式证明并探讨了母函数的正则性。
math.CAmath.DSmath.NT
