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

被引：34
作者：
Cieutat, Philippe [2 ]
Fatajou, Samir [3 ]
N'Guerekata, Gaston M. [1 ]
机构：
[1] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA
[2] Univ Versailles St Quentin en Yvelines, Lab Math Versailles, F-78035 Versailles, France
[3] Univ Cadi Ayyad, Dept Math, Fac Sci Semlalia, Marrakech, Morocco
来源：
APPLICABLE ANALYSIS | 2010年 / 89卷 / 01期
关键词：
Pseudo almost periodic function; pseudo almost automorphic function; evolution equation; heat equation; SEMILINEAR DIFFERENTIAL-EQUATIONS; BANACH-SPACES;
D O I：
10.1080/00036810903397503
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish new theorems for the composition of pseudo almost periodic and pseudo almost automorphic functions in Banach spaces. Our results extend the recent ones [H. Li, F. Huang and J. Li, Composition of pseudo almost-periodic functions and semilinear differential equations, J. Math. Anal. Appl. 255 (2001), pp. 436-446; J. Liang, J. Zhang, T.J. Xiao, Composition of pseudo almost automorphic and asymptotically almost automorphic functions, J. Math. Anal. Appl. 340 (2001), pp. 1493-1499]. We also study some sufficient conditions for the continuity of the superposition operator. As an application to the abstract results, we give some existence theorems of pseudo almost periodic/automorphic solutions for some semilinear evolution equations and examples with the heat equation.
引用
收藏
页码：11 / 27
页数：17
相关论文
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