Composition of Pseudo Almost-Periodic Functions and Semilinear Differential Equations

By Hong-Xu Li, F. Huang, Ji-yong Li. 2001

90 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/a66f7f12f18300d036966f0d85545123e4d14c57

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In Applied Mathematics

1. Toka Diagana
2. Gaston M. N'Guérékata
3. Philippe Cieutat
4. Carlos Lizama
5. Li-Li Zhang
6. Hong-Xu Li
7. Samir Fatajou
8. E. Hernández

In Numerical Analysis

1. Toka Diagana
2. Philippe Cieutat
3. Li-Li Zhang
4. Hong-Xu Li
5. Gaston M. N'Guérékata
6. Carlos Lizama
7. E. Hernández
8. Khalil Ezzinbi

Citations in the corpus

• Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations (2008, methodology): “Using the theorem of composition of functions of P AP0(L p((0, 1),X)) (see [11]) it is easy to see that Φb(·, φb 1 (·)) ∈ P AP0(L p((0, 1),X)), that is,”
• Pseudo almost periodic solutions to some differential equations (2005, background): “Some contributions on almost periodic, asymptotically almost periodic, and pseudo almost periodic solutions to abstract differential and partial differential equations have recently been made in [3, 7, 8, 9, 10, 17].”
• Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations (2010, background): “In [1], it is assumed that f is uniformly continuous on each bounded subset K of X (instead of compact) with respect to the second variable x.”
• Bounded Mild Solutions for Semilinear Integro Differential Equations in Banach Spaces (2010, background): “According to [29] a solution operator S(t) corresponds to a (1, b)-regularized family.”
• WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS FOR SOME ABSTRACT DIFFERENTIAL EQUATIONS WITH UNIFORM CONTINUITY (2010, background): “This seems reasonable and necessary since the uniform continuity condition is the main condition needed for the composition theorems of almost periodic functions and pseudo-almost periodic functions (see [11, 12]).”
• Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional–differential equations and applications (2007, background): “, [1–4,6,7,19,23,25,28,34] and references therein.”