Displaying similar documents to “Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients”

Linearization technique for oscillation of perturbed half-linear differential equations

Manabu Naito (2025)

Archivum Mathematicum

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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 of the third order Euler differential equation with delay

Blanka Baculíková, Jozef Džurina (2014)

Mathematica Bohemica

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In the paper we offer criteria for oscillation of the third order Euler differential equation with delay y ' ' ' ( t ) + k 2 t 3 y ( c t ) = 0 . We provide detail analysis of the properties of this equation, we fill the gap in the oscillation theory and provide necessary and sufficient conditions for oscillation of equation considered.