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On the buckling of flexible plates. (English. Russian original) Zbl 0181.52604
PMM, J. Appl. Math. Mech. 32, 747-754 (1968); translation from Prikl. Mat. Mekh. 32, 721-727 (1968).

Full Text: DOI
[1] Polubarinova-Kochina, P.Ia., On the problem of stability of plates, Pmm, Vol.3, N≗1, (1936)
[2] Vorovich, I.I., On some direct methods in the nonlinear theory of shallow shells, Pmm, Vol. 20, N≗4, (1956) · Zbl 0072.19802
[3] Friedrichs, K.; Stoker, J., The non-linear boundary value problem of the buckled plate, Amer.J.math., Vol.63, N≗4, (1941) · JFM 67.0826.01
[4] Berger, M.; Fife, P., On von Kármán’s equations and the buckling of a thin elastic plate, Bull.amer.math.soc., Vol.72, N≗6, (1966) · Zbl 0146.22103
[5] Krasnosel’skii, M.A., Topological methods in the theory of nonlinear integral equations, (1956), Gostekhizdat Moscow, (English translation published by Pergamon Press). · Zbl 0070.33001
[6] Vorovich, I.I., Some problems of stability of shells in the large, Dokl.akad.nauk SSSR, Vol.122, N≗1, (1958) · Zbl 0107.41506
[7] Vorovich, I.I., Postbuckling behavior of a circular plate, Uch.zap.rostov. univ., Vol.32, N≗4, (1955)
[8] Trenogin, V.A., The equation of bifurcation and Newton’s polygon, Dokl.akad. nauk SSSR, Vol.131, N≗5, (1960) · Zbl 0114.31805
[9] Vorovich, I.I., On the existence of solutions in the nonlinear theory of shells, Dokl.akad.nauk SSSR, Vol.117, N≗2, (1957) · Zbl 0091.39702
[10] Morozov, N.F., On the nonlinear theory of thin plates, Dokl.akad.nauk SSSR, Vol.114, N≗5, (1957) · Zbl 0083.39904
[11] Liusternik, L.A.; Sobolev, V.I., Elements of functional analysis, (1966), Fizmatgiz Moscow
[12] Vainberg, M.M.; Trenogin, V.A., The methods of Liapunov and Schmidt in the theory of nonlinear equations and their subsequent development, Usp.matem.nauk, Vol.17, N≗2, (1962) · Zbl 0117.31904
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