|
We establish some sufficient conditions which guarantee asymptotic stability of the null solution and boundedness of all the solutions of the following nonlinear differential equation of third order with the variable delay, r(t) x‴(t)g(x′(t-r(t)))x″(t)ψ(x′(t)) f(x′(t-r(t)))h(x(t-r(t)))=p(t,x(t),x′(t),x(t-r(t)),x′(t-r(t)), x″(t)), when p(t, x(t), x′(t), x(t-r(t)), x′(t-r(t)), x′′(t))=0 and ≠0, respectively. By definin...
|