The coexistence of quasi-periodic and blow-up solutions in a superlinear Duffing equation

Yanmei Sun, Xiong Li

In this paper we will construct a continuous positive periodic function $p(t)$ such that the corresponding superlinear Duffing equation $$ x"+a(x)\,x^{2n+1}+p(t)\,x^{2m+1}=0,\ \ \…