The Elementary Theory of Initial-Value Problems
Initial-value problems y′ = f(t, y), y(a) = α: Lipschitz conditions, existence and uniqueness, and well-posed problems.
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5.1
The Elementary Theory of Initial-Value Problems
Notes
f satisfies a Lipschitz condition in y if |f(t, y₁) − f(t, y₂)| ≤ L|y₁ − y₂|; then the IVP has a unique solution and is well-posed.
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