- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 63 Issue: 1
- QUASILINEARIZATION METHOD IN CAUSAL DIFFERENTIAL EQUATIONS WITH INITIAL TIME DIFFERENCE
QUASILINEARIZATION METHOD IN CAUSAL DIFFERENTIAL EQUATIONS WITH INITIAL TIME DIFFERENCE
Authors : Coşkun Yakar
Pages : 55-71
Doi:10.1501/Commua1_0000000705
View : 8 | Download : 5
Publication Date : 2014-02-01
Article Type : Research
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.Keywords :