Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

The General Uniqueness Theorem and Successive Approximations


Affiliations
1 Andhra University, Waltair, India
     

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 260

PDF Views: 0




  • The General Uniqueness Theorem and Successive Approximations

Abstract Views: 260  |  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.