On Picard-Fuchs type equations related to integrable Hamiltonian systems.
Prykarpatsky, Anatoliy K., Taneri, Ufuk, Samoylenko, Valeriy (2001)
Applied Mathematics E-Notes [electronic only]
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Prykarpatsky, Anatoliy K., Taneri, Ufuk, Samoylenko, Valeriy (2001)
Applied Mathematics E-Notes [electronic only]
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Jacek Dębecki (1998)
Archivum Mathematicum
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A complete classification of natural transformations of Hamiltonians into vector fields on symplectic manifolds is given herein.
Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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Triebel, Hans
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Gelisken, Ali, Cinar, Cengiz, Yalcinkaya, Ibrahim (2008)
Discrete Dynamics in Nature and Society
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Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)
Mathematica Bohemica
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We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).