QUASILINEARIZATION METHOD IN CAUSAL DIFFERENTIAL EQUATIONS WITH INITIAL TIME DIFFERENCE

Year 2014, Volume: 63 Issue: 1, 55 - 71, 01.02.2014

Coşkun Yakar

https://doi.org/10.1501/Commua1_0000000705

Abstract

In this paper, the method of the quasilinearization technique in
causal
differential equations is applied to obtain upper and lower sequences with
initial time difference in terms of the solutions of the linear causal differential
equations that start at different initial times. It is also shown that these
sequences converge to the unique solution of the nonlinear equation in causal
differential equations uniformly and superlinearly.

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• E-mail address : [e-mail]
• URL: http://communications.science.ankara.edu.tr/index.php?series=A1