Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: Rezaoui, Med-Salem
Affiliations: Faculty of Mathematics, University of Algiers (USTHB), B.P. 32 El Alia Bab-Ezzouar, 16111, Algeria E-mail: mrezaoui@usthb.dz
Abstract: Sibuya was concerned in [Lecture Notes in Math., Vol. 810, 1980, pp. 135–140] with studying analyticity of formal solutions for nonlinear differential systems xp+1\[$\frac{\mathrm{d}u}{\mathrm{d}x}$=E(x,y,u), where E is an analytic function in its arguments, near the origin. We are aiming in this work, to generalize the previous Sibuya's paper to nonlinear differential systems A(x)\[$\frac{\mathrm{d}u}{\mathrm{d}x}$=E(x,y,u), where A(x) is an N×N matrix, whose entries are holomorphic near the origin. Sibuya s'est intéressé dans [Lecture Notes in Math., Vol. 810, 1980, pp. 135–140] à l'analyticité des solutions formelles des systèmes différentiels non linéaires xp+1\[$\frac{\mathrm{d}u}{\mathrm{d}x}$=E(x,y,u), où E est une fonction analytique en ses arguments, au voisinage de l'origine. Nous nous intéressons dans ce travail, à généraliser le résultat de Sibuya aux systèmes différentiels non linéaires A(x)\[$\frac{\mathrm{d}u}{\mathrm{d}x}$=E(x,y,u), où A(x) est une matrice carrée N×N, à coefficients holomorphes au voisinage de l'origine.
Keywords: differential operator, formal solutions, convergent solutions, Pfaffian system
Journal: Asymptotic Analysis, vol. 46, no. 2, pp. 93-122, 2006
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
sales@iospress.com
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
info@iospress.nl
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office info@iospress.nl
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
china@iospress.cn
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
如果您在出版方面需要帮助或有任何建, 件至: editorial@iospress.nl