Math 2.0

Ordinary differential equations Existence, uniqueness and dependence on data Concept

Maximal solution

Summary

A maximal solution of an ordinary differential equation is a solution that is not the restriction of a solution on a larger interval. Under a local Lipschitz condition, each initial value problem has exactly one maximal solution. See the definition.

Further reading

  1. Web https://en.wikipedia.org/wiki/Ordinary_differential_equation, Global uniqueness and maximum domain of solution
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MSC34A12
SpecializesSolution of an ordinary differential equation

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