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单词 Cauchy Problem
释义

Cauchy Problem

If is an Analytic Function in a Neighborhood of the point (i.e., it can be expanded ina series of Nonnegative Integer Powers of and ), find a solution of the Differential Equation


with initial conditions and . The existence and uniqueness of the solution were proven by Cauchy and Kovalevskaya in the Cauchy-Kovalevskaya Theorem. The Cauchy problem amounts to determining theshape of the boundary and type of equation which yield unique and reasonable solutions for the Cauchy BoundaryConditions.

See also Cauchy Boundary Conditions
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更新时间:2025/2/22 21:52:59