Properties of bounded solutions of nonlinear equations of second order.
Properties of bounded solutions of nonlinear equations of second order.
Here we consider only solutions of (E) which are defined on some ray [c, + oo ), c _ 0 (depending on the particular solution), and their existence will be assumed without further mention. An oscillatory solution x(t), tE [c, + X ) of (E), is (by definition) a solution …