The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Hille-Wintner type oscillation criteria for linear ordinary differential equations of second order”

Linearization technique for oscillation of perturbed half-linear differential equations

Manabu Naito (2025)

Archivum Mathematicum

Similarity:

It is shown that oscillation of perturbed second order half-linear differential equations can be derived from oscillation of second order linear differential equations associated with modified Riccati equations. In the main result of the present paper, some of technical assumptions in the known results of this type are removed.

Oscillation Theorems for Second Order Sublinear Ordinary Differential Equations

Elabbasy, E. (1997)

Serdica Mathematical Journal

Similarity:

Oscillation criteria are given for the second order sublinear non-autonomous differential equation. (r(t) (x)x′(t))′ + q(t)g(x(t)) = (t). These criteria extends and improves earlier oscillation criteria of Kamenev, Kura, Philos and Wong. Oscillation criteria are also given for second order sublinear damped non-autonomous differential equations.

An improved oscillation theorem for nonlinear differential equations of advanced type

Nurten Kiliç, Özkan Öcalan, Mustafa Kemal Yildiz (2024)

Archivum Mathematicum

Similarity:

This paper deals with the oscillatory solutions of the first order nonlinear advanced differential equation. The aim of the present paper is to obtain an oscillation condition for this equation. This result is new and improves and correlates many of the well-known oscillation criteria that were in the literature. Finally, an example is given to illustrate the main result.