Bounded Solutions To Nonlinear Delay Differential Equations of Third Order

Abstract

This paper gives some sufficient conditions for every solution of delay differential equation ẍ̇ (t) + f(t, x(t), x(t - r), ẋ (t), ẋ (t - r), ẍ(t), ẍ(t - r)) + b(t)g(x(t - r), ẋ (t - r)) + c(t)h(x(t)) = p(t, x(t), x(t - r), ẋ (t), ẋ (t - r), ẍ(t)) to be bounded. © 2009 Juliusz Schauder Center for Nonlinear Studies.