Ezzinbi, Khalil; Fatajou, Samir; N’GuĂ©rekata, Gaston M. Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations. (English) Zbl 1203.34125 Electron. J. Differ. Equ. 2010, Paper No. 128, 14 p. (2010). Summary: We give sufficient conditions for the existence and uniqueness of a weighted pseudo-almost periodic solutions for some neutral partial functional differential equations. Our working tools are based on the variation of constant formula and the spectral decomposition of the phase space. Cited in 3 Documents MSC: 34K30 Functional-differential equations in abstract spaces 43A60 Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions 34K14 Almost and pseudo-almost periodic solutions to functional-differential equations 34K40 Neutral functional-differential equations Keywords:neutral partial functional differential equation; spectral decomposition; weighted pseudo-almost periodic solution; exponential dichotomy PDFBibTeX XMLCite \textit{K. Ezzinbi} et al., Electron. J. Differ. Equ. 2010, Paper No. 128, 14 p. (2010; Zbl 1203.34125) Full Text: EuDML EMIS