Bounded solutions to nonlinear delay differential equations of third order
This paper gives sufficient conditions for every solution of the delay differential equation \[ \begin{multlined} \ddot(t)+f(t, x(t), x(t - r),\dot x(t),\dot x(t - r),\ddot x(t),\ddot x(t - r))+b(t)g(x(t - r),x(t - r)) + c(t)h(x(t))=\\ p(t,x(t), x(t -r),\dot x(t),\dot x(t -r), \ddot x(t))\end{multlined} \] to be bounded.
scientific article; zbMATH DE number 5657321