Sturm: second-order linear differential equations

What changed

Derived comparison and zero-location results for second-order linear ODEs.

Scientific scope

The record is Sturm’s sole-author 1836 memoir, pages 106–186. Liouville’s separate papers, later self-adjoint spectral theory and modern boundary-value formulations retain separate attribution.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Sturm’s sole-author 1836 memoir, pages 106–186. Liouville’s separate papers, later self-adjoint spectral theory and modern boundary-value formulations retain separate attribution.

Contributors

• Charles-François Sturm · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• NUMDAM record for Sturm’s second-order differential-equation memoir
• NUMDAM scan of Sturm’s 1836 memoir

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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