Bounded Solutions to Nonlinear Delay Differential Equations of Third Order

Abstract

This paper gives some sufficient conditions for every solution of delay differential equation (x) triple over dot (t) + f(t, x(t), x(t -r), (x) over dot (t - r), (x) over dot (t- r), x(t), x(t-r)) + b(t)g(x(t-r), (x) over dot(t - r)) + c(t)h(x(t)) = p(t,x(t), x(t - r), (x) over dot (t), (x) over dot (t -r), x(t)) to be bounded.