Peano: existence for ordinary differential equations

What changed

Established local solutions for systems of ordinary differential equations under continuous right-hand sides without a uniqueness requirement.

Scientific scope

The record is Peano's sole-author 1890 Math. Annalen paper. It does not claim uniqueness, absorb Picard–Lindelof theory, or cover every modern extension to differential inclusions and infinite-dimensional spaces.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Peano's sole-author 1890 Math. Annalen paper. It does not claim uniqueness, absorb Picard–Lindelof theory, or cover every modern extension to differential inclusions and infinite-dimensional spaces.

Contributors

• Giuseppe Peano · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• EuDML record for Peano 1890 ODE paper

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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