Terminal value problems with causal operators

Year 2018, Volume: 47 Issue: 4, 897 - 907, 01.08.2018

Coşkun Yakar , Mehmet Arslan

Abstract

The well-known techniques of monotone iterative have been investigated and expanded for the causal terminal value problem (CTVP). This method construct the monotone sequences of the solutions of linear CTVPs by using the upper and lower solutions. Moreover, these sequence of functions are uniformly and monotonically converge to the extremal solutions of the CTVP.

Keywords

causal operator, causal terminal value problem, monotone iterative technique, extremal solutions, theoretical approximation method

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