Composition of pseudo almost automorphic and asymptotically almost automorphic functions

By Jin Liang, Jun Zhang, Ti‐Jun Xiao. 2008

189 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8ecc4e80e205a5dc2ec3b316b4859ce82ea158fb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Gaston M. N'Guérékata
2. Carlos Lizama
3. Toka Diagana

In Applied Mathematics

1. Gaston M. N'Guérékata
2. Toka Diagana
3. Philippe Cieutat
4. Carlos Lizama
5. Samir Fatajou
6. Wei Lin
7. Zhang Chen
8. Rodrigo Ponce

In Geometry and Topology

1. Toka Diagana
2. Carlos Lizama
3. Gaston M. N'Guérékata

Citations in the corpus

• Bounded Mild Solutions for Semilinear Integro Differential Equations in Banach Spaces (2010, background): “In case of AAA ( X ) the proof is contained in [28, Theorem 2.3].”
• Existence of pseudo-almost automorphic solutions to some abstract differential equations with Sp-pseudo-almost automorphic coefficients (2009, background): “The notion of pseudo almost automorphy is a new notion due to Liang, Xiao and Zhang [12, 13].”
• Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations (2010, background): “In [5], it is assumed that f is uniformly continuous on each bounded subset K of X (instead compact) with respect to the second variable x.”
• Measure theory and pseudo almost automorphic functions: New developments and applications (2012, unknown): “…P AA ( R , X, µ ) is not translation invariant (cf. Remark 3.7) and P AA ( R , X, µ ) is a subspace of P AA ( R , X ) (the space of pseudo almost automorphic functions in the sense of [20, 22]), then (4.1) holds, for all f ∈ P AA ( R , X, µ ) (cf. Formula (2.4) in the proof of Theorem 2.2 in [32]).”
• Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory (2014, unknown): “[3, 4, 5, 16, 17, 19, 20, 30, 23, 24, 32, 33, 34, 35, 36, 37, 39, 43, 44, 45, 46, 48, 57, 58, 60] and the references therein.”
• Square-mean pseudo almost automorphic process and its application to stochastic evolution equations (2011, background): “[17] further developed the theory of the pseudo almost automorphic function, which is more general and complicated than the pseudo almost periodic function and the asymptotically almost automorphic function.”