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

被引：35

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

页码：11 / 27

页数：17

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