On behavior of oscillating solutions to second-order Emden-Fowler type differential equations. (English) Zbl 1398.34048
From the introduction: Consider the second-orer Emden-Fowler type differential equation
\[
y''+ p(x,y,y')|u|^k\,\text{sgn\,}y= 0,\;k>0,\;k\neq 1.\tag{1}
\]
We investigate the behavior of solutions to equation (1) in the case \(0<m\leq p(x,u,v)\leq M<+\infty\).
MSC:
| 34C10 | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations |
| 34D05 | Asymptotic properties of solutions to ordinary differential equations |
