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Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case

โœ Scribed by Chiang, Chun-Yueh; Chu, Eric King-Wah; Guo, Chun-Hua; Huang, Tsung-Ming; Lin, Wen-Wei; Xu, Shu-Fang


Book ID
118211816
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
258 KB
Volume
31
Category
Article
ISSN
0895-4798

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Convergence of solutions for two delays
โœ Eleonora Messina; Yoshiaki Muroya; Elvira Russo; Antonia Vecchio ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 254 KB

In this paper, for the ''critical case'' with two delays, we establish two relations between any two solutions y(t) and y \* (t) for the Volterra integral equation of non-convolution type y(t) = f (t)+ t-ฮด t-ฯ„ k(t, s)g(y(s))ds and a solution z(t) of the first order differential equation and offer a