Lipschitz condition
Lipschitz condition De nition: function f(t;y) satis es a Lipschitz condition in the variable y on a set D ˆR2 if a constant L >0 exists with jf(t;y 1) f(t;y 2)j Ljy 1 y 2j; whenever (t;y 1);(t;y 2) are in D. L is Lipschitz constant. I Example 1: f(t;y) = t y2 does not satisfy any Lipschitz condition on the region
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