A periodic boundary value problem for nonlinear singular differential systems with ‘maxima’

Boundary value problems

Peiguang Wang¹  Xiang Liu² 

[1] College of Electronic and Information Engineering, Hebei University, Baoding, China;College of Mathematics and Information Science, Hebei University, Baoding, China

关键词: singular system;    maxima;    quasilinearization;    34D20;    34A37;   

DOI  :  10.1186/s13661-015-0463-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by using the method of quasilinearization to discuss the periodic boundary value problem for a nonlinear singular differential system with ‘maxima’, we obtain monotone iterative sequences of approximate solutions which converge uniformly and quadratically to the solution of the nonlinear singular differential system with ‘maxima’.

【 授权许可】

CC BY