Kneser theorem
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In mathematics, in the field of ordinary differential equations, the Kneser theorem, named after Adolf Kneser, provides criteria to decide whether a differential equation is oscillating or not.
[edit] Kneser theorem
Given an ordinary linear homogenous differential equation of the form
- y'' + q(x)y = 0
with
![q: [0,+\infty] \to \mathbb{R}](../../../math/9/8/0/980bd8514541bc50c777f3be950d641c.png)
continuous and q(x) > 0, then the equation is non-oscillating if
and oscillating if
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