Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation
Asymptotic behaviour of oscillatory solutions of the fourth-order nonlinear differential equation with quasiderivates is studied.
Asymptotic behaviour of oscillatory solutions of the fourth-order nonlinear differential equation with quasiderivates is studied.
Sufficient conditions are given under which the sequence of the absolute values of all local extremes of , of solutions of a differential equation with quasiderivatives is increasing and tends to . The existence of proper, oscillatory and unbounded solutions is proved.
Inequalities for some positive solutions of the linear differential equation with delay ẋ(t) = -c(t)x(t-τ) are obtained. A connection with an auxiliary functional nondifferential equation is used.
This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given.