MATH221 · Annotated SlidesChapter 5 — The Elementary Theory of Initial-Value Problems
Chapter 5 · Annotated slides

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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Slide 1: 5.1
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    Slide 2: The Elementary Theory of Initial-Value Problems
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    1. 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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