An interation method for studying the bifurcation of solutions of the nonlinear equations,L(?)u+?R(?,u)=0-Reference-Cited by-同舟云学术

An interation method for studying the bifurcation of solutions of the nonlinear equations,L(?)u+?R(?,u)=0

Published:1974-02 Issue:1 Volume:23 Page:47-61
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Demoulin Yves-Marie J.,Chen Y. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01409990.pdf

Reference11 articles.

1. Stakgold, I.: Branching of solutions of nonlinear equations. SIAM Review13, 289?332 (1971)

2. Schröder, J.: Störungsrechnung bei Eigenwert- und Verzweigungsaufgaben. Arch. Rat. Mech. Anal.1, 436?468 (1958)

3. Keller, H. B.: Nonlinear bifurcation. J. Diff. Eqs.7, 417?434 (1970)

4. Chen, Y. M., Christiansen, P. L.: Application of a modified newton's iteration method to construct solutions of eigenvalue problems of nonlinear partial differential operators. SIAM J. Appl. Math.18, 335?345 (1970)

5. Keller, H. B., Langford, W. F.: Iterations, perturbations and multiplicities for nonlinear Bifurcation problems. To appear in Arch. Rat. Mech. Anal.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Numerical Methods for a Class of Finite Dimensional Bifurcation Problems;SIAM Journal on Numerical Analysis;1978-02

2. Regularization of simple solutions of nonlinear equations in the neighborhood of a branching point;Siberian Mathematical Journal;1978

3. Numerical solution of bifurcation problems for ordinary differential equations;Numerische Mathematik;1977-06

4. Annotated Bibliography on Generalized Inverses and Applications;Generalized Inverses and Applications;1976