Wang, Zhicheng; Wu, Jianhong Neutral functional differential equations with infinite delay. (English) Zbl 0553.34044 Funkc. Ekvacioj, Ser. Int. 28, 157-170 (1985). The paper discusses the fundamental theory of neutral functional differential equations (NFDE) with infinite delay on an abstract phase space given by J. K. Hale and J. Kato [ibid. 21, 11-41 (1978; Zbl 0383.34055)]. The axioms for the phase space are stated in Section 1. Section 2 gives the definition of NFDE with infinite delay and some examples. The main result of Section 3 is the fundamental theory (existence, uniqueness, continuation of solutions) for this class of equations. Cited in 1 ReviewCited in 9 Documents MSC: 34K05 General theory of functional-differential equations Keywords:neutral functional differential equations; infinite delay; abstract phase space; examples Citations:Zbl 0383.34055 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{J. Wu}, Funkc. Ekvacioj, Ser. Int. 28, 157--170 (1985; Zbl 0553.34044)