On a conjecture about an integral criterion for oscillation
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.
On a distribution of zeros of solutions of a fourth-order iterated linear differential equation
On a distribution of zeros of solutions of an iterated differential equation of the -th order
On a fundamental central dispersion of the first kind and the Abel functional equation in strongly regular spaces of continuous functions
On a perturbed nonlinear third order differential equation
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].
On a result of Etgen and Lewis
On algebraic properties of dispersions of the 3rd and 4th kind of the differential equation
On an algebraic structure of a group of phases
On an application of the generalized Floquet theory to the transformation of the equation into its associated equation
On an asymptotic behaviour of solutions of the differential equation of the fourth order
On an oscillation criterion of Hartman, Wintner and Potter
On analytic and meromorphic functions satisfying nth order algebraic differential equations in regions of the plane.
On asymptotic behavior of solutions of -th order Emden-Fowler differential equations with advanced argument
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).
On asymptotic behavior of solutions to Emden-Fowler type higher-order differential equations
For the equation existence of oscillatory solutions is proved, where is an arbitrary point and is a periodic non-constant function on . The result on existence of such solutions with a positive periodic non-constant function on is formulated for the equation
On asymptotic behaviour of central dispersions of linear differential equations of the second order
On asymptotic behaviour of oscillatory solutions for fourth order differential equations.
On asymptotic behaviour of solutions of linear functional differential equations.
On asymptotic properties and distribution of zeros of solutions of
On asymptotic properties of central dispersions of the -th kind of ,
On asymptotic properties of oscillatory solutions of the system of differential equations of fourth order