×

A Whitney fold in the phase space of the Hoff equation. (English. Russian original) Zbl 1504.47121

Russ. Math. 49, No. 10, 49-55 (2005); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2005, No. 10, 54-60 (2005).

MSC:

47N20 Applications of operator theory to differential and integral equations
35Q53 KdV equations (Korteweg-de Vries equations)
37L10 Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems
47J05 Equations involving nonlinear operators (general)
58K20 Algebraic and analytic properties of mappings on manifolds
PDFBibTeX XMLCite
Full Text: MNR

References:

[1] Hoff N.J., “Creep buckling Aeron”, Quarterly, 7:1 (1956), 1-20
[2] Sidorov N.A., Romanova O.A., “O primenenii nekotorykh rezultatov teorii vetvleniya pri reshenii differentsialnykh uravnenii”, Differents. uravneniya, 19:9 (1983), 1516-1526 · Zbl 0544.34034
[3] Sviridyuk G.A., “Fazovye prostranstva polulineinykh uravnenii tipa Soboleva s otnositelno silno sektorialnym operatorom”, Algebra i analiz, 6:5 (1994), 252-272
[4] Sviridyuk G.A., Kazak V.O., “Fazovoe prostranstvo nachalno-kraevoi zadachi dlya uravneniya Khoffa”, Matem. zametki, 71:2 (2002), 292-297 · Zbl 1130.37401
[5] Bokareva T.A., Sviridyuk G.A., “Sborki Uitni fazovykh prostranstv nekotorykh polulineinykh uravnenii tipa Soboleva”, Matem. zametki, 55:3 (1994), 3-10 · Zbl 0842.35047
[6] Sviridyuk G.A., Fedorov V.E., Sobolev type equations and degenerate semigroups of operators, VSP, Utrecht, 2003, 216 pp. · Zbl 1102.47061
[7] Sviridyuk G.A., “Kvazistatsionarnye traektorii polulineinykh dinamicheskikh uravnenii tipa Soboleva”, Izv. RAN. Cer. matem., 57:3 (1993), 192-207 · Zbl 0824.35134
[8] Leng S., Vvedenie v teoriyu differentsiruemykh mnogoobrazii, Platon, Volgograd, 1996, 203 pp.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.