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The General Uniqueness Theorem and Successive Approximations


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1 Andhra University, Waltair, India
     

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Picard's classical theorem on successive approximations to the solution of a differential equation y' = f(x, y) assumes that the function f satisfies Lipschitz's condition. In this case not only do the successive approximations converge, but the solution is unique.
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  • The General Uniqueness Theorem and Successive Approximations

Abstract Views: 249  |  PDF Views: 0

Authors

B. Viswanatham
Andhra University, Waltair, India

Abstract


Picard's classical theorem on successive approximations to the solution of a differential equation y' = f(x, y) assumes that the function f satisfies Lipschitz's condition. In this case not only do the successive approximations converge, but the solution is unique.