(&omega,c)- PSEUDO ALMOST PERIODIC FUNCTIONS, (&omega,c)- PSEUDO ALMOST AUTOMORPHIC FUNCTIONS AND APPLICATIONS

In this paper, we introduce the classes of $(\omega, c)$-pseudo almost periodicfunctions and $(\omega, c)$-pseudo almost automorphicfunctions. These collections include $(\omega, c)$-pseudo periodicfunctions, pseudo almost periodic functions and their automorphic analogues.We present an application to the abstract semilinear first-order Cauchy inclusions in Banach spaces.

Download Full-text

On the Non-uniqueness of the Decomposition of Weighted Pseudo Almost Periodic Functions

Springer Proceedings in Mathematics & Statistics - Bridging Mathematics, Statistics, Engineering and Technology ◽

10.1007/978-1-4614-4559-3_5 ◽

2012 ◽

pp. 43-46

Author(s):

Gaston M. N’Guérékata

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Pseudo Almost Periodic Functions ◽

Pseudo Almost Periodic

Download Full-text

Vector-valued pseudo almost periodic functions

Czechoslovak Mathematical Journal ◽

10.1023/a:1022492014464 ◽

1997 ◽

Vol 47 (3) ◽

pp. 385-394 ◽

Cited By ~ 11

Author(s):

Chuanyi Zhang

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Pseudo Almost Periodic Functions ◽

Pseudo Almost Periodic ◽

Vector Valued

Download Full-text

Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations

Applicable Analysis ◽

10.1080/00036810903397503 ◽

2010 ◽

Vol 89 (1) ◽

pp. 11-27 ◽

Cited By ~ 23

Author(s):

Philippe Cieutat ◽

Samir Fatajou ◽

Gaston M. N'Guérékata

Keyword(s):

Evolution Equations ◽

Almost Periodic ◽

Almost Automorphic ◽

Almost Automorphic Functions ◽

Pseudo Almost Automorphic ◽

Pseudo Almost Periodic ◽

Automorphic Functions

Download Full-text

Composition of Pseudo Almost-Periodic Functions and Semilinear Differential Equations

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2000.7225 ◽

2001 ◽

Vol 255 (2) ◽

pp. 436-446 ◽

Cited By ~ 63

Author(s):

Hong-xu Li ◽

Fa-lun Huang ◽

Ji-yong Li

Keyword(s):

Differential Equations ◽

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Pseudo Almost Periodic Functions ◽

Pseudo Almost Periodic

Download Full-text

Weighted pseudo almost periodic functions and applications to evolution equations with delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.03.085 ◽

2013 ◽

Vol 219 (17) ◽

pp. 8949-8958 ◽

Cited By ~ 3

Author(s):

Hui-Sheng Ding ◽

Jin Liang ◽

Ti-Jun Xiao

Keyword(s):

Evolution Equations ◽

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Pseudo Almost Periodic Functions ◽

Pseudo Almost Periodic ◽

Equations With Delay

Download Full-text

Weighted pseudo almost periodic functions, convolutions and abstract integral equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.11.034 ◽

2016 ◽

Vol 435 (2) ◽

pp. 1382-1399 ◽

Cited By ~ 4

Author(s):

Aníbal Coronel ◽

Manuel Pinto ◽

Daniel Sepúlveda

Keyword(s):

Integral Equations ◽

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Pseudo Almost Periodic Functions ◽

Pseudo Almost Periodic

Download Full-text

Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions

Advances in Difference Equations ◽

10.1155/2011/654695 ◽

2011 ◽

Vol 2011 ◽

pp. 1-12 ◽

Cited By ~ 12

Author(s):

Wei Long ◽

Hui-Sheng Ding

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Pseudo Almost Periodic Functions ◽

Pseudo Almost Periodic

Download Full-text

Weighted pseudo almost periodic functions and applications

Comptes Rendus Mathematique ◽

10.1016/j.crma.2006.10.008 ◽

2006 ◽

Vol 343 (10) ◽

pp. 643-646 ◽

Cited By ~ 92

Author(s):

Toka Diagana

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Pseudo Almost Periodic Functions ◽

Pseudo Almost Periodic

Download Full-text

Some Properties of Weighted Pseudo almost Periodic Functions

Abstract and Applied Analysis ◽

10.1155/2013/327213 ◽

2013 ◽

Vol 2013 ◽

pp. 1-8 ◽

Cited By ~ 1

Author(s):

Zhe-Ming Zheng ◽

Hui-Sheng Ding ◽

Gaston M. N’Guérékata

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Proper Subspace ◽

Equivalent Definition ◽

Classical Space ◽

Pseudo Almost Periodic Functions ◽

Close Relationship ◽

Pseudo Almost Periodic ◽

Asymptotically Almost Periodic

Several interesting and new properties of weighted pseudo almost periodic functions are established. Firstly, we obtain an equivalent definition for weighted pseudo almost periodic functions, which shows a close relationship between asymptotically almost periodic functions and weighted pseudo almost periodic functions; secondly, we prove that the space of asymptotically almost periodic functions is always a proper subspace of the space of weighted pseudo almost periodic functions; thirdly, we show that under some cases, the space of weighted pseudo almost periodic functions equals the classical space of pseudo almost periodic functions.

Download Full-text

Stepanov pseudo almost periodic functions and applications

10.22541/au.160502869.93141004/v1 ◽

2020 ◽

Author(s):

Kamal Khalil ◽

Marko Kostic ◽

Manuel Pinto

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Pseudo Almost Periodic Functions ◽

Pseudo Almost Periodic

Download Full-text