Li, Hongxu; Huang, Falun; Li, Jiyong Composition of pseudo almost-periodic functions and semilinear differential equations. (English) Zbl 1047.47030 J. Math. Anal. Appl. 255, No. 2, 436-446 (2001). The authors give an abstract result on the composition of pseudo almost-periodic functions as introduced by C. Zhang [J. Math. Anal. Appl. 181, 62–76 (1994; Zbl 0796.34029)]. They apply this result to obtain pseudo almost-periodic solutions to semilinear abstract Cauchy problems. Reviewer: Rainer Nagel (Tübingen) Cited in 57 Documents MSC: 47D06 One-parameter semigroups and linear evolution equations 34G20 Nonlinear differential equations in abstract spaces 47G99 Integral, integro-differential, and pseudodifferential operators Keywords:composition of pseudo almost-periodic functions; semilinear abstract Cauchy problems Citations:Zbl 0796.34029 PDFBibTeX XMLCite \textit{H. Li} et al., J. Math. Anal. Appl. 255, No. 2, 436--446 (2001; Zbl 1047.47030) Full Text: DOI References: [1] Dads, E. Ait; Arino, O., Exponential dichotomy and existence of pseudo almost-periodic solutions for some differential equations, Nonlinear Anal., 27, 369-386 (1996) · Zbl 0855.34055 [2] Dads, E. Ait; Ezzinbi, K.; Arino, O., Pseudo almost-periodic solutions for some differential equations, Nonlinear Anal., 28, 1141-1155 (1997) · Zbl 0874.34041 [3] Amir, B.; Maniar, L., Composition of pseudo almost-periodic functions and semilinear Cauchy problem with nondense domain, Tübinger Ber. Funktionalanal. Heft 6 Jahrgang, 6-16 (96/97) · Zbl 0941.34059 [4] Fink, A. M., Almost Periodic Differential Equations. Almost Periodic Differential Equations, Lecture Notes in Math., 377 (1974), Springer-Verlag: Springer-Verlag New York/Berlin · Zbl 0325.34039 [5] Pazy, A., Semi Group of Linear Operators and Applications to Partial Differential Equations (1983), Springer-Verlag: Springer-Verlag New York · Zbl 0516.47023 [6] C. Zhang, Pseudo Almost-Periodic Functions and Their Applications, thesis, The University of Western Ontario, 1992.; C. Zhang, Pseudo Almost-Periodic Functions and Their Applications, thesis, The University of Western Ontario, 1992. [7] Zhang, C., Pseudo almost-periodic solutions of some differential equations, J. Math. Anal. Appl., 181, 62-76 (1994) · Zbl 0796.34029 [8] Zhang, C., Pseudo almost-periodic solutions of some differential equations II, J. Math. Anal. Appl., 192, 543-561 (1995) · Zbl 0826.34040 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.