Lipschitz condition
（ plural ）
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(mathematical analysis) A property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points.
Lipschitz condition
To ensure uniqueness of solutions to the differential equation, the textbook requires that the right-hand side satisfy the Lipschitz condition in a neighborhood of the initial value.
To ensure uniqueness of solutions to the differential equation, the textbook requires that the right-hand side satisfy the Lipschitz condition in a neighborhood of the initial value.
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