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Augustin Cauchy and Sophie Kowalevski

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Augustin Cauchy and Sophie Kowalevski

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The Cauchy kovalevskaya theorem tells us about solutions to systems of differential equations. If we look at m equations in n dimension, with coefficient that are analytic function, we can know about the existence of solutions using this theorem.

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There is a theorem called the Cauchy-Kowalevski theoremwhich deals with the existence of solutions to a system of mdifferential equation in n dimensions when the coefficients are analytic functions. I am guessing this is what you are asking about. A special case of this theorem was proved by Cauchy alone.

The theorem talks about the local existence of a solution.

Since this is a complicated topic, I will provide a link.

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Cauchy was the first mathematician who developed definitions and rules for mathematics. He introduced the definitions of the integral and rules for series convergence. There are sixteen concepts and theorems named after him.

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We need more information. Is there a limit or integral? The theorem states that the deivitive of an integral of a function is the function

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