The rapid convergence for nonlinear singular differential systems with "maxima''

Volume 10, Issue 10, pp 5402--5421 http://dx.doi.org/10.22436/jnsa.010.10.25

Publication Date: October 27, 2017 Submission Date: August 12, 2017

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Authors

Peiguang Wang - College of Mathematics and Information Science, Hebei University, Baoding, Hebei 071002, China. Xiang Liu - College of Mathematics and Information Science, Hebei University, Baoding, Hebei 071002, China. Tongxing Li - School of Information Science and Engineering, Linyi University, Linyi, Shandong 276005, China.

Abstract

This paper investigates the initial value problem for a class of nonlinear singular differential systems with "maxima''. By using the comparison principle and the approximate quasilinearization method, we obtain two monotone iterative sequences of approximate solutions which converge uniformly and rapidly to the solution of such systems.

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Keywords

• Singular system
• maxima
• approximate quasilinearization
• rapid convergence

MSC

•  34A45
•  34K07

References

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