Some properties of pseudo-almost automorphic functions and applications to abstract differential equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 70, Issue 7, 2009, Pages 2731-2735

  Liang, Jin ^a,d   N'Guérékata, Gaston M ^b   Xiao, Ti Jun ^c,d   Zhang, Jun ^d  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b MORGAN STATE UNIVERSITY   (United States)

^c FUDAN UNIVERSITY   (China)

^d UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Abstract equation; Almost automorphic; C0 semigroup of contractions; Composition; Mild solution; Pseudo almost automorphic

Indexed keywords

BANACH SPACES; FOURIER SERIES; FUNCTIONS; PROBABILITY DENSITY FUNCTION; SHRINKAGE;

ABSTRACT EQUATION; ALMOST AUTOMORPHIC; C0-SEMIGROUP OF CONTRACTIONS; COMPOSITION; MILD SOLUTION; PSEUDO-ALMOST AUTOMORPHIC;

ABSTRACTING;

EID: 59849104546     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2008.03.061     Document Type: Article

References (10)

1. Cuevas C., and Pinto M. Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain. Nonlinear Anal. TMA 45 (2001) 73-83
2. Ding H.S., Liang J., N'Guérékata G.M., and Xiao T.J. Pseudo-almost periodicity of some nonautonomous evolution equations with delay. Nonlinear Anal. TMA 67 (2007) 1412-1418
3. N'Guérékata G.M. Quelques remarques sur les fonctions asymptotiquement presque automorphes (Some remarks on asymptotically almost automorphic functions). Ann. Sci. Math. Québec 7 2 (1983) 185-191 (in French)
4. N'Guérékata G.M. Almost Automorphic and Almost Periodic Functions in Abstract Spaces (2001), Kluwer Academic/Plenum Publishers, New York, Boston, Moscow, London
5. N'Guérékata G.M. Topics in Almost Automorph (2005), Springer, New York, Boston, Dordrecht, London, Moscow
6. L. LhachimiT, E. Ait Dads, Properties and composition of pseudo almost periodic functions and applications to semilinear differential equations in Banach spaces, Int. J. Evol. Equ. (submitted for publication)
7. Liang J., Zhang J., and Xiao T.-J. Composition of pseudo almost automorphic and asymptotically almost automorphic functions. J. Math. Anal. Appl. 340 (2008) 1493-1499
8. Veech W.A. Almost automorphic functions on groups. Amer. J. Math. 87 (1965) 719-751
9. Veech W.A. On a theorem of Bochner. Ann. of Math. (2) 86 (1967) 117-137
10. Xiao T.-J., Liang J., and Zhang J. Pseudo almost automorphic functions to semilinear differential equations in Banach spaces. Semigroup Forum 76 (2008) 518-524