Diagana, Toka; Henriquez, Hernán; Hernández, Eduardo Asymptotically almost periodic solutions to some classes of second-order functional differential equations. (English) Zbl 1224.35411 Differ. Integral Equ. 21, No. 5-6, 575-600 (2008). Summary: In this paper we study the existence of asymptotically almost periodic solutions to some classes of second-order partial functional-differential equations with unbounded delay. Our results are, subsequently, applied to studying the existence of asymptotically almost periodic solutions to some integro-differential equations, which arise in the theory of heat conduction within fading memory materials. Cited in 5 Documents MSC: 35R10 Partial functional-differential equations 35B15 Almost and pseudo-almost periodic solutions to PDEs 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 Keywords:asymptotically almost periodic solution; mild solution; functional differential equation; unbounded delay PDFBibTeX XMLCite \textit{T. Diagana} et al., Differ. Integral Equ. 21, No. 5--6, 575--600 (2008; Zbl 1224.35411)