Category of topological jet manifolds and certain applications in the theory of nonlinear infinite-dimensional dynamical systems-Reference-Cited by-同舟云学术

Category of topological jet manifolds and certain applications in the theory of nonlinear infinite-dimensional dynamical systems

Published:1992-09 Issue:9 Volume:44 Page:1136-1148
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Prykarpats'kyy A. K.,Fil' B. M.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01058376.pdf

Reference27 articles.

1. S. P. Novikov (ed.), Theory of Solitons [in Russian], Nauka, Moscow (1980), 342 pp.

2. L. A. Takhtadzhyan and L. D. Fadeev, Hamiltonian Approach to Theory of Solitons [in Russian], Nauka, Moscow (1986), 527 pp.

3. Yu. A. Mitropol'skii [Mytropol's'kyy], N. N. Bogolyubov, Jr., A. K. Prikarpatskii [Prykarpats'kii], and V. G. Samoilenko, Integrable Dynamical Systems [in Russian], Nauk. Dumka, Kiev (1987), 296 pp.

4. V. I. Arnol'd, Mathematical Methods of Classical Mechanics [in Russian], Nauka, Moscow (1979), 431 pp.

5. V. G. Samoilenko, Jet Analysis on Smooth Infinite-Dimensional Manifolds and Its Application to Investigations of the Integrability of Nonlinear Dynamical Systems [in Russian], Preprint No. 88.51, Institute of Mathematics of the Academy of Sciences of Ukrainian SSR, Kiev (1988), 23 pp.

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