Almost periodicity of mild solutions of inhomogeneous periodic cauchy problems

Almost periodicity of mild solutions of inhomogeneous periodic cauchy problems

We consider a mild solution u of a well-posed, inhomogeneous, Cauchy problem, u(t)=A(t)u(t)+f(t), on a Banach space X, where A(·) is periodic. For a problem on R+, we show that u is asymptotically almost periodic if f is asymptotically almost periodic, u is bounded, uniformly continuous and totally...

Descripció completa

Dades bibliogràfiques
Autors principals:	Batty, C, Hutter, W, Rabiger, F
Format:	Journal article
Idioma:	English
Publicat:	Elsevier 1999

Ítems similars

Asymptotically almost periodic solutions of inhomogeneous Cauchy problems on the half-line
per: Arendt, W, et al.
Publicat: (1999)

Almost periodic solutions of first- and second-order Cauchy problems
per: Arendt, W, et al.
Publicat: (1997)

Bounded convolutions and solutions of inhomogeneous Cauchy problems
per: Batty, C, et al.
Publicat: (1999)

Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse Problems
per: Fenglin Yang, et al.
Publicat: (2012-01-01)

Tauberian theorems and stability of solutions of the Cauchy problem
per: Batty, C, et al.
Publicat: (1998)

The non-analytic growth bound of a C-0-semigroup and inhomogeneous Cauchy problems
per: Batty, C, et al.
Publicat: (2003)

Almost periodic processes and the existence of almost periodic solutions
per: Y. Hino, et al.
Publicat: (1998-01-01)

Periodic solutions for a Cauchy problem on time scales
per: Fode Zhang
Publicat: (2015-07-01)

Slowly oscillating solutions of Cauchy problems with countable spectrum
per: Arendt, W, et al.
Publicat: (2000)

Weak almost periodic and optimal mild solutions of fractional evolution equations
per: Amar Debbouche, et al.
Publicat: (2009-03-01)

Asymptotically almost periodic and almost periodic solutions for a class of evolution equations
per: Eduardo Hernandez M., et al.
Publicat: (2004-04-01)

Theory and Applications of Periodic Solutions and Almost Periodic Solutions
per: Yonghui Xia
Publicat: (2013-01-01)

Abstract Fractional Cauchy Problem: Existence of Propagators and Inhomogeneous Solution Representation
per: Dmytro Sytnyk, et al.
Publicat: (2023-09-01)

Non-almost periodic solutions of limit periodic and almost periodic homogeneous linear difference systems
per: Martin Chvátal
Publicat: (2015-01-01)

Estimates for mild solutions to semilinear Cauchy problems
per: Kresimir Burazin, et al.
Publicat: (2014-09-01)

Asymptotically almost periodic solutions of limit and almost periodic linear difference systems
per: Martin Chvátal
Publicat: (2015-11-01)

Asymptotically almost periodic and almost periodic solutions for a class of partial integrodifferential equations
per: Eduardo Hernandez M., et al.
Publicat: (2006-03-01)

Cauchy problem for inhomogeneous parabolic Shilov equations
per: I.M. Dovzhytska
Publicat: (2021-10-01)

Stability theory and the existence of periodic solutions and almost periodic solutions /
per: 359929 Yoshizawa, Tarc
Publicat: (1975)

Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales
per: Yongkun Li, et al.
Publicat: (2011-01-01)

$C^n$-almost periodic and almost periodic solutions for some nonlinear integral equations
per: Huisheng Ding, et al.
Publicat: (2012-01-01)

Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients
per: Omar Mellah, et al.
Publicat: (2013-04-01)

Almost periodic solutions of neutral functional differential equations with Stepanov-almost periodic terms
per: Md. Maqbul
Publicat: (2011-05-01)

Localized Method of Fundamental Solutions for Two-Dimensional Inhomogeneous Inverse Cauchy Problems
per: Junli Zhang, et al.
Publicat: (2022-04-01)

Almost periodic solutions for Abel equations
per: Zeng Weiyao, et al.
Publicat: (1997-01-01)

Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations
per: Akdad Abdelkarim-Nidal, et al.
Publicat: (2015-07-01)

Almost-periodic solution for BAM neural networks
per: Hamid A. Jalab, et al.
Publicat: (2009-03-01)

Stability of mild solutions of the fractional nonlinear abstract Cauchy problem
per: J. Vanterler da C. Sousa, et al.
Publicat: (2022-01-01)

Dependence results on almost periodic and almost automorphic solutions of evolution equations
per: Joel Blot, et al.
Publicat: (2010-07-01)

Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems
per: Mohamed Hannabou, et al.
Publicat: (2020-01-01)

Mild and classical solutions to fractional Cauchy problem on time scales
per: Ahmad Al-Omari, et al.
Publicat: (2024-06-01)

Almost periodic and asymptotically almost periodic functions: part I
per: Dhaou Lassoued, et al.
Publicat: (2018-02-01)

Almost periodic functions on Hausdorff almost periodic time scales
per: Desheng Ji, et al.
Publicat: (2017-04-01)

Asymptotically almost periodic mild solutions to a class of Weyl-like fractional difference equations
per: Junfei Cao, et al.
Publicat: (2019-09-01)

Almost Periodic Solutions for Some Convolution Equations
per: Corduneanu Silvia-Otilia
Publicat: (2013-11-01)

On a spectral criterion for almost periodicity of solutions of periodic evolution equations
per: Toshiki Naito, et al.
Publicat: (1999-01-01)

Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay
per: Yihong Song
Publicat: (2007-03-01)

Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay
per: Song Yihong
Publicat: (2007-01-01)

Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients II
per: Hovik A. Matevossian, et al.
Publicat: (2022-09-01)

On a speed of solutions stabilization of the Cauchy problem for the Carleman equation with periodic initial data
per: Sergey A Dukhnovskii
Publicat: (2017-03-01)