Weighted pseudo \(\delta\)-almost automorphic functions and abstract dynamic equations
type: Item
instance of: scholarly article
title: Weighted pseudo \(\delta\)-almost automorphic functions and abstract dynamic equations
zbMATH Open document ID: 1470.26051
author: Chao Wang
author: Ravi P. Agarwal
author: Donal O'Regan
published in: Georgian Mathematical Journal
publication date: 2021-04-27T00:00:00Z
review text: The authors introduce the concept of matched spaces for time scales and use it to obtain the closedness of time scales under a nontranslational shift. This enables a group of irregular time scales to become regular, and even periodic. The authors have also introduced the concepts of \(\delta\)-almost automorphic and weighted \(\delta\)-almost automorphic functions under the matched spaces and presented certain important results. The collection of these results forms a new theory of almost automorphic functions for abstract dynamic equations. This new theory includes other dynamic equations on various quantum-like time scales.
reviewed by: Sanket A. Tikare
Mathematics Subject Classification ID: 26E70
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 43A60
zbMATH DE Number: 7339616
zbMATH Keywords: time scales
zbMATH Keywords: weighted pseudo \(\delta\)-almost automorphic functions
zbMATH Keywords: abstract dynamic equations
MaRDI profile type: Publication
full work available at URL: gmj-2019-2066
OpenAlex ID: W2990115211
cites work: A new periodicity concept for time scales
cites work: Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
cites work: Double integral calculus of variations on time scales
cites work: Q2723195
cites work: Q4797834
cites work: Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
cites work: Compact almost automorphic solutions to semilinear Cauchy problems with non-dense domain
cites work: Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolution equations
cites work: Existence of weighted pseudo-almost periodic solutions to some classes of nonautonomous partial evolution equations
cites work: The existence of a weighted mean for almost periodic functions
cites work: Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces
cites work: Almost automorphic solutions for some partial functional differential equations
cites work: Almost automorphic solutions of semilinear evolution equations
cites work: Q3995705
cites work: Periodic solutions for a neutral nonlinear dynamical equation on a time scale
cites work: Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
cites work: Decomposition of weighted pseudo-almost periodic functions
cites work: Existence and uniqueness of almost automorphic mild solutions to some semilinear abstract differential equations
cites work: Topics in Almost Automorphy
cites work: Almost Automorphic Functions on Groups
cites work: Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive \(\nabla\)-dynamic equations on time scales
cites work: Changing-periodic time scales and decomposition theorems of time scales with applications to functions with local almost periodicity and automorphy
cites work: Uniformly \(rd\)-piecewise almost periodic functions with applications to the analysis of impulsive \(\Delta\)-dynamic system on time scales
cites work: Almost periodic dynamics for impulsive delay neural networks of a general type on almost periodic time scales
cites work: Periodicity, almost periodicity for time scales and related functions
cites work: Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
DOI: 10.1515/GMJ-2019-2066
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description: scientific article; zbMATH DE number 7339616