Asymptotics for conditionally oscillatory half-linear equations

Year, pages: 2010, 223 - 236

We establish asymptotic formulas for nonoscillatory solutions of a special conditionally oscillatory half-linear second order differential equation, which is seen as a perturbation of a general nonoscillatory half-linear differential equation

$$ (r(t)Φ(x'))'+c(t)Φ(x)=0,    Φ(x)=|x|^p-1\sgn x, p>1, $$

where $r$, $c$ are continuous functions and $r(t)>0$.

Pátíková, Z. 2010. Asymptotics for conditionally oscillatory half-linear equations. In Mathematica Slovaca, vol. 60, no.2, pp. 223-236. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0008-8

Pátíková, Z. (2010). Asymptotics for conditionally oscillatory half-linear equations. Mathematica Slovaca, 60(2), 223-236. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0008-8