O niektorých vlastnostiach riešení diferenciálnej rovnice tvaru
We discuss an open question of Kiguradze and Chanturia about Property and Property for the equation . The proposed integral criterion is proved in a few cases.
In this paper we will study some asymptotic properties of a nonlinear third order differential equation viewed as a perturbation of a simpler nonlinear equation investigated recently by the authors in [4].
We study oscillatory properties of solutions of the Emden-Fowler type differential equation where , , and for . Sufficient (necessary and sufficient) conditions of new type for oscillation of solutions of the above equation are established. Some results given in this paper generalize the results obtained in the paper by Kiguradze and Stavroulakis (1998).