Some properties of Stepanov-like almost automorphic functions and applications to abstract evolution equations

Applicable Analysis

Volumn 88, Issue 7, 2009, Pages 1079-1091

  Ding, Hui Sheng ^a   Liang, Jin ^b   Xiao, Ti Jun ^c  

^a JIANGXI NORMAL UNIVERSITY   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

^c FUDAN UNIVERSITY   (China)

Author keywords

Almost automorphic; Banach space; Composition theorem; Evolution equations; Stepanov like almost automorphic

Indexed keywords

EID: 70449632760     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810903156164     Document Type: Article

References (13)

1. S. Bochner, A new approach to almost-periodicity, Proc. Nat. Acad. Sci. USA 48 (1962), pp. 2039-2043.
2. M. Baroun, L. Maniar, and G.M. N'Guerekata, Almost periodic and almost automorphic solutions to semilinear parabolic boundary differential equations, Nonlinear Anal. 69 (2008), pp. 2114-2124.
3. P. Cieutat and K. Ezzinbi, Existence, uniqueness and attractiveness of a pseudo almost automorphic solutions for some dissipative differential equations in Banach spaces, J. Math. Anal. Appl. 354 (2009), pp. 494-506.
4. T. Diagana and G.M. N'Guerekata, Stepanov-like almost automorphic functions and applications to some semilinear equations, Appl. Anal. 86 (2007), pp. 723-733.
5. p-pseudo-almost automorphic coefficients, Nonlinear Anal. 70 (2009), pp. 3781-3790.
6. T. Diagana, E. Hernandez M, and J.P.C. dos Santos, Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations, Nonlinear Anal. 71 (2009), pp. 248-257.
7. K. Ezzinbi, S. Fatajou, and G.M. N'Guerekata, Pseudo almost automorphic solutions for dissipative differential equations in Banach spaces, J. Math. Anal. Appl. 351 (2009), pp. 765-772.
8. S. Fatajou, N. Van Minh, G.M. N'Guerekata, and A. Pankov, Stepanov-like almost automorphic solutions for nonautonomous evolution equations, Electron. J. Differ. Equ. 121 (2007), pp. 1-11.
9. J.A. Goldstein and G.M. N'Guerekata, Almost automorphic solutions of semilinear evolution equations, Proc. Amer. Math. Soc. 133 (2005), pp. 2401-2408.
10. J. Liang, J. Zhang, and T.J. Xiao, Composition of pseudo almost automorphic and asymptotically almost automorphic functions, J. Math. Anal. Appl. 340 (2008), pp. 1493-1499.
11. G.M. N'Guerekata, Almost Automorphic Functions and Almost Periodic Functions in Abstract Spaces, Kluwer Academic/Plenum Publishers, New York-Berlin-Moscow, 2001.
12. G.M. N'Guerekata and A. Pankov, Stepanov-like almost automorphic functions and monotone evolution equations, Nonlinear Anal. 68 (2008), pp. 2658-2667.
13. T.J. Xiao, J. Liang, and J. Zhang, Pseudo almost automorphic solution to semilinear differential equations in Banach spaces, Semigroup Forum 76 (2008), pp. 518-524.