What is recorded here?
Established local existence of solutions for ordinary differential equations under continuity assumptions without requiring the Lipschitz condition that yields uniqueness.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
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.
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People and systems
Giuseppe Peano
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Documented countries / regions: Italy
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English catalogue narrative
Peano: existence for ordinary differential equations
Established local existence of solutions for ordinary differential equations under continuity assumptions without requiring the Lipschitz condition that yields uniqueness.
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.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Giuseppe Peano
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.