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Matematicheskie Zametki, 2006, Volume 79, Issue 3, Pages 444–449
DOI: https://doi.org/10.4213/mzm2713 (Mi mzm2713) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Invariant manifolds of the Hoff equation

G. A. Sviridyuka, O. G. Kitaevab

a Chelyabinsk State University
b Magnitogorsk State University
Full-text PDF (203 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm2713
Abstract: The Hoff equation $(\lambda+\Delta)u_t=-\alpha u-\beta u^3$ models the buckling of a T-shaped beam, where $\lambda$, $\alpha$, and $\beta\in\mathbb R_+$ are the parameters of the model. The existence of a finite-dimensional local invariant manifold is established in the neighborhood of zero.
Received: 20.01.2003
English version:
Mathematical Notes, 2006, Volume 79, Issue 3, Pages 408–412
DOI: https://doi.org/10.1007/s11006-006-0045-3
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: G. A. Sviridyuk, O. G. Kitaeva, “Invariant manifolds of the Hoff equation”, Mat. Zametki, 79:3 (2006), 444–449; Math. Notes, 79:3 (2006), 408–412
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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