On the estimate the 
and 
norm of the error for the initial value problems
Abstract
Our objective in this paper is to examine conditions under which the variational principle has a global extremal properties and to complete the error estimate procedure of [5].We will use the value of the functional to estimate the and 
norm of the error for the initial value problems, described by a non-linear second order differential equation belonging to the class treated in [5]. In our analysis integral inequalities given in [1-4] are of central importance.The analysis will be illustrated by an concrete example.
and norm of the error for the initial value problems, described by a non-linear second order differential equation belonging to the class treated in [5]. In our analysis integral inequalities given in [1-4] are of central importance.The analysis will be illustrated by an concrete example.DOI Code:
10.1285/i15900932v15n1p121
Full Text: PDF
