The Journal of the Indian Mathematical Society

B. Viswanatham ¹

Affiliations
1 Andhra University, Waltair, IN

Abstract

The aim of this note is to prove the existence of a solution of an infinite differential system.

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B. Viswanatham ¹

Affiliations
1 Andhra University, Waltair, IN

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.

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