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Uspekhi Mat. Nauk, 1962, Volume 17, Issue 2(104), Pages 13–75 (Mi umn6481)  

This article is cited in 41 scientific papers (total in 42 papers)

The methods of Lyapunov and Schmidt in the theory of non-linear equations and their further development

M. M. Vainberg, V. A. Trenogin

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English version:
Russian Mathematical Surveys, 1962, 17:2, 1–60

Bibliographic databases:

MSC: 45G05, 45G15, 47J07
Received: 09.05.1961

Citation: M. M. Vainberg, V. A. Trenogin, “The methods of Lyapunov and Schmidt in the theory of non-linear equations and their further development”, Uspekhi Mat. Nauk, 17:2(104) (1962), 13–75; Russian Math. Surveys, 17:2 (1962), 1–60

Citation in format AMSBIB
\by M.~M.~Vainberg, V.~A.~Trenogin
\paper The methods of Lyapunov and Schmidt in the theory of non-linear equations and their further development
\jour Uspekhi Mat. Nauk
\yr 1962
\vol 17
\issue 2(104)
\pages 13--75
\jour Russian Math. Surveys
\yr 1962
\vol 17
\issue 2
\pages 1--60

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    2. Stephen Bancroft, Jack K Hale, Daniel Sweet, “Alternative problems for nonlinear functional equations”, Journal of Differential Equations, 4:1 (1968), 40  crossref
    3. Helmut Pachale, “Eine Bemerkung zur Theorie der nichtlinearen Gleichungen”, Arch Math, 20:3 (1969), 279  crossref  mathscinet
    4. Ivar Stakgold, “Branching of Solutions of Nonlinear Equations”, SIAM Rev, 13:3 (1971), 289  crossref  mathscinet  zmath
    5. Edward T. Dean, Paul L. Chambré, “On the Bifurcation of Solutions of the Nonlinear Eigenvalue Problem $Lu + \lambda b(x)u = g(x,u)$”, SIAM J Appl Math, 20:4 (1971), 722  crossref  mathscinet  zmath
    6. DAHSOONG Yü, “Domain of stability for a class of non-linear partial differential equations†”, International Journal of Control, 14:2 (1971), 321  crossref
    7. J Mawhin, “Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces”, Journal of Differential Equations, 12:3 (1972), 610  crossref
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    24. Jamse P. Keener, “Infinite Period Bifurcation and Global Bifurcation Branches”, SIAM J Appl Math, 41:1 (1980), 127  crossref  mathscinet  isi
    25. Y. Schiffmann, “Classification in bifurcation theory and reaction-diffusion systems”, Physics Reports, 64:3 (1980), 87  crossref
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    32. N. Damil, M. Potier-Ferry, “A New method to compute perturbed bifurcations: Application to the buckling of imperfect elastic structures”, International Journal of Engineering Science, 28:9 (1990), 943  crossref
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    36. Satish R. Inamdar, I.A. Karimi, “Application of reductive perturbation method to branching of stationary solutions”, Chemical Engineering Science, 56:12 (2001), 3915  crossref  elib
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