Displaying similar documents to “Picone type formula for non-selfadjoint impulsive differential equations with discontinuous solutions.”

On oscillatory first order neutral impulsive difference equations

Arun Kumar Tripathy, Gokula Nanda Chhatria (2020)

Mathematica Bohemica

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We have established sufficient conditions for oscillation of a class of first order neutral impulsive difference equations with deviating arguments and fixed moments of impulsive effect.

Unbounded solutions of third order delayed differential equations with damping term

Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini (2011)

Open Mathematics

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Globally positive solutions for the third order differential equation with the damping term and delay, x ' ' ' + q ( t ) x ' ( t ) - r ( t ) f ( x ( φ ( t ) ) ) = 0 , are studied in the case where the corresponding second order differential equation y ' ' + q ( t ) y = 0 is oscillatory. Necessary and sufficient conditions for all nonoscillatory solutions of (*) to be unbounded are given. Furthermore, oscillation criteria ensuring that any solution is either oscillatory or unbounded together with its first and second derivatives are presented. The comparison of results...