Almost periodic functions and their applications: a survey of results and perspectives

DOI10.1155/2021/5536018zbMath1477.42007OpenAlexW3154819521MaRDI QIDQ2035674

Wei-Shih Du, Manuel Pinto, Marko Kostić

Publication date: 25 June 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5536018

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75)

Related Items

On a class of Besicovitch almost periodic type selections of multivalued maps, Fractional derivative of power type functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS FOR SOME ABSTRACT DIFFERENTIAL EQUATIONS WITH UNIFORM CONTINUITY
• Periodic solutions of degenerate differential equations in vector-valued function spaces
• Periodic solutions of differential equations with a general piecewise constant argument and applications
• Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems
• Almost Periodic Solutions of Monotone Second-Order Differential Equations
• On a problem of interpolation by periodic functions
• On interpolation by almost periodic functions
• (ω,c)‐asymptotically periodic functions, first‐order Cauchy problem, and Lasota‐Wazewska model with unbounded oscillating production of red cells
• Existence of almost periodic solutions to some third-order nonautonomous differential equations
• On Leray's problem for almost periodic flows
• On the Spectrum of C 0 -Semigroups
• Compactness in Spaces of Vector Valued Continuous Functions and Asymptotic Almost Periodicity
• ON CERTAIN PROBLEMS IN THE THEORY OF DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT
• ALMOST PERIODIC FUNCTIONS AND PARTIAL DIFFERENTIAL OPERATORS
• Multivariate Approximation
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>ω</mml:mi> <mml:mo>,</mml:mo> <mml:mi>c</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:math>-periodic functions and mild solutions to abstract fractional integro-differential equations
• Oscillation and Chaos in Physiological Control Systems
• Quasi-periodic solutions of fractional nabla difference systems
• Bounding Multivariate Trigonometric Polynomials
• Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations
• Remark on interpolation by L-almost periodic functions
• Some Results Concerning a Class of Differential Equations with Piecewise Constant Argument
• Vibrational Stability of Periodic Solutions of the Liouville Equations
• On absolute Cesa&#x0301;ro summablity of Fourier series for almost-periodic functions with limiting points at zero
• Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
• The existence of almost periodic solutions for a class of differential equations with piecewise constant argument
• Pseudo almost periodic solutions for some differential equations in a banach space
• Aperiodic Order
• Almost periodic extensions of functions
• Almost periodic extensions of functions, II
• A note on almost periodic solutions of linear partial differential equations
• A NEW APPROACH TO ALMOST PERIODICITY
• On a problem of interpolation by periodic and almost periodic functions
• Almost periodic measures
• Almost Periodic Functions and the Vibrating Membrane
• Positive trigonometric polynomials and signal processing applications
• Multiblock problems for almost periodic matrix functions of several variables
• Holomorphic almost-periodic functions
• Zeros of holomorphic almost periodic functions
• Gabor systems and almost periodic functions
• Bounded mild solutions to fractional integro-differential equations in Banach spaces
• Translation invariance of weighted pseudo almost periodic functions and related problems
• Measure theory and pseudo almost automorphic functions: new developments and applications
• Weighted pseudo almost-periodic functions and applications to semilinear evolution equations
• \(p\)-th mean pseudo almost automorphic mild solutions to some nonautonomous stochastic differential equations
• Doubly-weighted pseudo almost periodic functions
• Representations of almost-periodic functions using generalized shift-invariant systems in \(\mathbb{R}^{d}\)
• Pseudo asymptotically periodic solutions of two-term time fractional differential equations with delay
• Remotely almost periodic solutions to parabolic boundary value inverse problems
• Almost automorphic mild solutions to some classes of nonautonomous higher-order differential equations
• Almost periodic solutions of impulsive differential equations.
• On quasi-periodic properties of fractional sums and fractional differences of periodic functions
• Pseudo \(\mathcal{S}\)-asymptotically periodic solutions of second-order abstract Cauchy problems
• Convolution operators and factorization of almost periodic matrix functions
• Decomposition of weighted pseudo-almost periodic functions
• Stepanov-like weighted pseudo almost automorphic solutions to fractional order abstract integro-differential equations
• Evolution operators and strong solutions of abstract linear parabolic equations
• Retarded differential equations with piecewise constant delays
• Lectures on mean periodic functions. Notes by P. K. Raman
• Advanced differential equations with piecewise constant argument deviations
• Existence and asymptotic stability of periodic solutions for neutral evolution equations with delay
• Non-spectral asymptotic analysis of one-parameter operator semigroups
• Weighted pseudo almost periodic functions and applications
• Weighted pseudo almost periodic functions, convolutions and abstract integral equations
• Applied impulsive mathematical models
• A spectral criterion for the almost periodicity of one-parameter semigroups
• A spectral criterion of asymptotic almost periodicity for uniformly continuous representations of Abelian semigroups
• Algebras of almost periodic functions with Bohr-Fourier spectrum in a semigroup: Hermite property and its applications
• On type of periodicity and ergodicity to a class of fractional order differential equations
• Pseudo almost periodic solutions for equation with piecewise constant argument
• Superposition operators between various almost periodic function spaces and applications
• Weighted pseudo-almost periodic solutions of a class of abstract differential equations
• Almost periodicity of parabolic evolution equations with inhomogeneous boundary values
• Almost periodic plane wave solutions for reaction diffusion equations
• Characterizations of almost periodic strongly continuous cosine operator functions
• Density theorems for almost periodic functions: a Hilbet space approach
• Stability and periodic solutions of ordinary and functional differential equations
• A unified approach to abstract linear nonautonomous parabolic equations
• Existence of almost-periodic solutions to second-order neutral delay differential equations with piecewise constant argument
• Almost periodic (in the sense of Besicovitch) solutions of evolution variational inequalities
• Theorems of the boundedness of almost-periodic pseudodifferential operators
• On the Stepanov almost periodic solution of a second-order infinitesimal generator differential equation
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Almost periodic differential equations
• Theorems on the coincidence of the spectra of pseudodifferential almost-periodic operators in the spaces \(L^2(\mathbb R^n)\) and \(B^2(\mathbb R^n)\)
• Characterizations of almost periodic strongly continuous groups and semigroups
• Greedy algorithm and \(m\)-term trigonometric approximation
• On the corona theorem for almost periodic functions
• Pseudo almost periodic solutions of some differential equations
• Almost periodic solutions of Volterra equations
• The existence of almost periodic solutions of retarded differential equations with piecewise constant argument
• Almost periodic solutions of first- and second-order Cauchy problems
• Embedding theorems for Sobolev-Besicovitch spaces of almost periodic functions
• Almost periodic functions in terms of Bohr's equivalence relation
• Generalized asymptotically almost periodic and generalized asymptotically almost automorphic solutions of abstract multiterm fractional differential inclusions
• \((\omega,c)\)-periodic solutions for impulsive differential systems
• On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments
• Weyl-almost periodic solutions and asymptotically Weyl-almost periodic solutions of abstract Volterra integro-differential equations
• Existence and exponential convergence of the positive almost periodic solution for a model of hematopoiesis
• A singularly perturbed elliptic partial differential equation with an almost periodic term
• An elliptic partial differential equation with a symmetrical almost periodic term
• Asymptotic almost periodicity and motions of semigroups of operators
• Pseudo almost periodic solutions of some differential equations. II
• Almost periodic pseudodifferential operators and Gevrey classes
• Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 -- June 3, 2016
• Pseudo compact almost automorphic solutions for a family of delayed population model of Nicholson type
• Asymptotically Weyl almost periodic functions in Lebesgue spaces with variable exponents
• Almost automorphic solutions for nonautonomous parabolic evolution equations
• \(c\)-almost periodic type functions and applications
• S-asymptotically \(\omega\)-periodic mild solutions and stability analysis of Hilfer fractional evolution equations
• \((\omega,c)\)-pseudo periodic functions, first order Cauchy problem and Lasota-Wazewska model with ergodic and unbounded oscillating production of red cells
• A class of functional equations associated with almost periodic functions
• Existence of asymptotically almost periodic solutions for some second-order hyperbolic integrodifferential equations
• Existence and global convergence of periodic solutions in recurrent neural network models with a general piecewise alternately advanced and retarded argument
• Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations
• Differential equations with impulse effects. Multivalued right-hand sides with discontinuities
• Ergodicity in Stepanov-Orlicz spaces
• Existence of positive almost periodic solutions to a class of hematopoiesis model
• Almost periodicity, chaos, and asymptotic equivalence
• \((\omega ,c)\)-periodic solutions for time varying impulsive differential equations
• On the existence of almost-periodic solutions for the 2D dissipative Euler equations
• Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling
• Periodic solutions and \(S\)-asymptotically periodic solutions to fractional evolution equations
• Absolute convergence of Fourier series of almost-periodic functions
• On the distribution of zeros of a sequence of entire functions approaching the Riemann zeta function
• On a problem of Bochner and von Neumann
• Spectrum of almost-periodic solutions for some abstract differential equations
• Generalization of two theorems of M. I. Kadets concerning the indefinite integral of abstract almost periodic functions
• Almost periodic solutions of linear partial differential equations
• \(C^*\)-algebras of almost periodic pseudo-differential operators
• On Stepanov-almost periodic semigroups and cosine functions of operators
• Weak almost periodicity and the strong ergodic limit theorem for periodic evolution systems
• Mean motions and values of the Riemann zeta function
• The existence of periodic solutions of systems of differential equations
• Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces