On Nagumo's Condition

Thomas Rogers

doi:10.4153/CMB-1972-109-2

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The classical uniqueness theorem of Nagumo [1] for ordinary differential equations is as follows.

Theorem. If f(t, y) is continuous on 0≤t≤1, -∞<y<∞ and if

then there is at most one solution to the initial value problem y'=f(t, y), y(0)=0.

References

1. Nagumo, M., Eine hinreichende Bedingung für die Unität der Losung von Differential-gleichungen erster Ordnung, Japan. J. Math. 3 (1926), 107-112.Google Scholar

2. Hille, E., Lectures on ordinary differential equations, Addison-Wesley, Reading, Mass., 1969.Google Scholar

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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On Nagumo's Condition

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