Siberian Mathematical Journal

, Volume 18, Issue 2, pp 235–243 | Cite as

The local solvability of functional equations and the existence of invariant manifolds

  • L. P. Kuchko


Functional Equation Invariant Manifold Local Solvability 
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Literature Cited

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    G. R. Belitskii, “Functional equations and the local adjointness of C-mappings,” Mat. Sb.,133, No. 8, 582–596 (1973).Google Scholar
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    A. Smajdor and W. Smajdor, “On the existence and uniqueness of analytic solutions of a linear functional equation,” Math. Z.,98, No. 3, 235–242 (1967).Google Scholar
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    W. Smajdor, “Local analytic solutions of the functional equation φ(z)=h(z, φ(f(z))) in multidimensional spaces,” Aequationes Math.,1, No. 1-2, 20–36 (1968).Google Scholar
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    A. Kelley, “The stable, center-stable, center, center-unstable and unstable manifolds,” in: Transversal Mappings and Flows, W. A. Benjamin, New York-Amsterdam (1967), Appendix C.Google Scholar
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    M. W. Hirsch, C. C. Pugh, and M. Shub, “Invariant manifolds,” Bull. Am. Math. Soc.,76, 1015–1019 (1970). N. Fenichel, “Persistence and smoothness of invariant manifolds for flows,” Indiana Univ. Math. J.,21, No. 3, 193–226 (1971).Google Scholar
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    A. Tychonoff, “Ein Fixpunktsatz,” Math. Ann.,111, 767–776 (1935).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • L. P. Kuchko

There are no affiliations available

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