Results 11 to 20 of about 100,511 (265)
Linear Functionals on Almost Periodic Functions [PDF]
Transactions of the American Mathematical Society, 1953 Our aim is, first, to present two realizations of the space 1* of all bounded complex linear functionals on 21, and, second, to use these realizations for the study of positive definite functions which are not necessarily continuous. In this fashion, we obtain a generalization of Bochner's representation theorem for continuous positive definite ...
openaire +2 more sources
Almost Periodic Time Scales and Almost Periodic Functions on Time Scales [PDF]
Journal of Applied Mathematics, 2015 We propose some new concepts of almost periodic time scales and almost periodic functions on time scales and give some basic properties of these new types of almost periodic time scales and almost periodic functions on time scales. We also give some comments on a recent paper by Wang and Agarwal (2014) concerning a new almost periodic time scale.
Li, Yongkun, Li, Bing
openaire +3 more sources
Pseudo Almost Periodic Sequence Solutions of Discrete Time Cellular Neural Networks
Nonlinear Analysis, 2009 In this paper we discuss the existence and uniqueness of a k-pseudo almost periodic sequence solutions of a discrete time neural network. We give several sufficient conditions for the exponential and global attractivity of the solution.
S. Abbas
doaj +1 more source
Almost periodic functions, constructively [PDF]
Logical Methods in Computer Science, 2005 The almost periodic functions form a natural example of a non-separable normed space. As such, it has been a challenge for constructive mathematicians to find a natural treatment of them. Here we present a simple proof of Bohr's fundamental theorem for almost periodic functions which we then generalize to almost periodic functions on general ...
openaire +5 more sources
Cubo, 2021 In this paper we give sufficient conditions on $k\in L^1(\mathbb{R})$ and the positive measures $\mu$, $\nu$ such that the doubly-measure pseudo-almost periodic (respectively, doubly-measure pseudo-almost automorphic) function spaces are invariant by the
David Békollè +4 more
doaj +1 more source
Almost periodic functions on Hausdorff almost periodic time scales
Advances in Difference Equations, 2017 This paper is devoted to generalizing the notion of almost periodic functions on time scales. We introduce a new class of almost periodic time scales called Hausdorff almost periodic time scales by using the Hausdorff distance and propose a more general ...
Desheng Ji, Liu Yang, Jimin Zhang
doaj +1 more source
Besicovitch Almost Periodic Solutions of Abstract Semi-Linear Differential Equations with Delay
Mathematics, 2022 In this paper, first, we give a definition of Besicovitch almost periodic functions by using the Bohr property and the Bochner property, respectively; study some basic properties of Besicovitch almost periodic functions, including composition theorem ...
Yongkun Li, Mei Huang, Bing Li
doaj +1 more source
Almost Periodic Solutions for Some Convolution Equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We use the theory of Fourier series for almost periodic functions to looking for complex-valued functions f which are almost periodic on R and satisfy the following ...
Corduneanu Silvia-Otilia
doaj +1 more source
ON THE ALMOST PERIODIC AT INFINITY FUNCTIONS FROM HOMOGENEOUS SPACES
Проблемы анализа, 2018 We consider homogeneous spaces of functions defined on the real axis (or semi-axis) with values in a complex Banach space. We study the new class of almost periodic at infinity functions from homogeneous spaces.
Baskakov A. G. +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2002 In a Banach space, if u is a Stepanov almost periodic solution of a certain nth-order infinitesimal generator and time-dependent operator differential equation with a Stepanov almost periodic forcing function, then u,u′,…,u (n−2) are all strongly almost ...
Aribindi Satyanarayan Rao
doaj +1 more source