Geodesic
Oscillation of the third order Euler differential equation with delay
Mathematica Bohemica, Tome 139 (2014) no. 4, pp. 649-655

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In the paper we offer criteria for oscillation of the third order Euler differential equation with delay $$ y'''(t)+\frac {k^2}{t^3}y(ct)=0. $$ 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.
In the paper we offer criteria for oscillation of the third order Euler differential equation with delay $$ y'''(t)+\frac {k^2}{t^3}y(ct)=0. $$ 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.
DOI : 10.21136/MB.2014.144141
Classification : 34C10, 34K11
Keywords: third-order functional differential equation; Euler equation; oscillation; nonoscillation 
Baculíková, Blanka; Džurina, Jozef. Oscillation of the third order Euler differential equation with delay. Mathematica Bohemica, Tome 139 (2014) no. 4, pp. 649-655. doi: 10.21136/MB.2014.144141
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