Citation: | Chu Zheng-you, Cheng Chang-jun. On Singular Perturbation Method of Perturbed Bifurcation Problems[J]. Applied Mathematics and Mechanics, 1984, 5(4): 527-534. |
[1] |
Sather, D.,Branching of solutions of an equation in Hilbert space, Arch. Rat. Mech. Anal, 36,(1970), 47-64.
|
[2] |
Temme, N. M.(ed.), Nonlinear Analysis, vol. 2, Amsterdam,(1976).
|
[3] |
Matkowsky, B. J., and R. L. Reiss, Singularperturbation of bifurcations, SIAM J. Appl. Math. Vol. 33, No. 2,(1977), 230-255.
|
[4] |
Vainberg, M. M., and V. A. Trenogin, Theory of Branching of Solutions of Nonlinear Equations,(1974).
|
[5] |
Timoshenko, S. P., and J. M. Gere, Theory of Elastic Stability, McGraw-Hill, New York,(1961).
|
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