EXISTENCE OF S-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS FOR ABSTRACT NEUTRAL EQUATIONS

HERNÁN R. HENRÍQUEZ, MICHELLE PIERRI, PLÁCIDO TÁBOAS
2008 Bulletin of the Australian Mathematical Society  
A bounded continuous function u : [0, ∞) → X is said to be S-asymptotically ω-periodic if lim t→∞ [u(t + ω) − u(t)] = 0. This paper is devoted to study the existence and qualitative properties of S-asymptotically ω-periodic mild solutions for some classes of abstract neutral functional differential equations with infinite delay. Furthermore, applications to partial differential equations are given. 2000 Mathematics subject classification: 34K40, 35R10, 34K14.
doi:10.1017/s0004972708000713 fatcat:tfr56addl5fpvopfixjdi5lzdy