In this paper we will prove the coexistence of unbounded solutions and periodic solutions for the asymmetric oscillator $\ddot{x}+f(\dot{x})+ax^{+}-bx^{-}=\varphi (t,x)$, where a and b are positive ...
Almost automorphic solutions represent a sophisticated generalisation of almost periodic functions and have become an increasingly influential concept in the study of differential equations. These ...