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Sturm comparison theorem

If

q_{1} \leq q_{2}

, then between consecutive zeros of a nontrivial solution of

y^{''} + q_{1} (x) y = 0

there is a zero of every nontrivial solution of

y^{''} + q_{2} (x) y = 0

, unless the two coefficients agree throughout that interval.

Table of contents 61 1
- Wronskian proof of Sturm comparison Sturm comparison theorem 28

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