Abstract
The aim of this work is to introduce a numbeicaal test for the existence ferential eqinueness of solutionof free boundary problems govrned by an ordinary differential equtial. the main result is given by a theorem relation the existence and uniqueness question to thenumber of real zeal zeros of a function implicitly defined within the formulation of the iterative tranesformation method .as a consequence we can investigate the existence and uniquess of solution by studing the behaviour of that fution within such a context the numerical test is illustrated by two examples.
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