Literature Cited
A. S. Kravchuk, ’Variational methods for analysis of contact interaction and its computer implementation’ in: Strength Computations [in Russian], Moscow (1984), pp. 33–50.
I. L. Barskii, ’On the behavior of extremals of one variational problem with phase constraints’ Zh. Vychisl. Mat. i Mat. Fiz.,22, No. 1 (1982).
I. L. Barskii, ’Branching of stationary equilibria of pipe columns in vertical shafts,’ Nauchnye Trudy VNIIBT, No. 58, 126–138 (1983).
I. L. Barskii, ’On the behavior of extremals of some variational problems with phase constraints’ Abstracts of papers at 5th All-Union Conf. on Control in Mechanical Systems [in Russian], Kazan’ (1985).
I. L. Barskii, I. A. Rumyantsev, and Yu. A. Flerov, Local Interpolation in Direct Methods of Variational Calculus: Communications in Computational Mathematics [in Russian], VTs Akad. Nauk SSSR, Moscow (1982).
R. E. Pasynkov, ’Analysis of the equilibrium of a compressed and twisted rod in a rigid cylindrical shell’ Ref. Zh., Mekh., No. 2V423Dep (1984).
I. L. Barskii et al. ’Mathematical software for computation of static bending and transversal vibrations of pipe columns in shafts,’ Nauchnye Trudy VNIIBT, No. 60, 93–104 (1985).
M. J. Ablowitz and H. Segur, ’Exact linearization of a Painlevè transcendent,’ Phys. Rev. Lett.,38, 1103–1106 (1977).
A. Ya. Dubovitskii and A. A. Milyutin, ’Extremum problems with constraints,’ Zh. Vychisl. Mat. Mat. Fiz.,5, No. 3, 395–453 (1965).
Additional information
Translated from Optimal'nost’ Upravlyaemykh Dinamicheskikh Sistem, No. 19, pp. 54–62, Vsesoyuznyi Nauchno-Issledovatel'skii Institut Sistemnykh Issledovanii, Moscow (1988).
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Barskii, I.L. Branching of extremals of some variational problems with phase constraints. Comput Math Model 3, 426–433 (1992). https://doi.org/10.1007/BF01133073
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DOI: https://doi.org/10.1007/BF01133073