Resumen de New Recurrent Solutions to Differential Equations with Piecewise Constant Arguments

Dong Sheng Lin, Yong Kui Chang

• In this paper, we show how to explore some properties of vector-valued pseudo Sasymptotically (ω, c)-periodic functions and sequences to examine the existence and uniqueness of pseudo S-asymptotically (ω, c)-periodic solutions to differential equations with piecewise constant arguments in Banach spaces. Pseudo S-asymptotically (ω, c)-periodic solutions considered in this paper can be unbounded and also cover bounded solutions such as pseudo S-asymptotically ω-periodic solutions, pseudo Sasymptotically ω-antiperiodic solutions and pseudo S-asymptotically Bloch periodic solutions as special cases.