Real integrable spaces
M. Wilhelm (1975)
Colloquium Mathematicae
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M. Wilhelm (1975)
Colloquium Mathematicae
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E. Zenhder (1975)
Publications mathématiques et informatique de Rennes
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Xu, Taixi, Mu, Weihua, Qiao, Zhijun (2006)
International Journal of Mathematics and Mathematical Sciences
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Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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Luisa Di Piazza, Valeria Marraffa (2002)
Czechoslovak Mathematical Journal
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Some relationships between the vector valued Henstock and McShane integrals are investigated. An integral for vector valued functions, defined by means of partitions of the unity (the PU-integral) is studied. In particular it is shown that a vector valued function is McShane integrable if and only if it is both Pettis and PU-integrable. Convergence theorems for the Henstock variational and the PU integrals are stated. The families of multipliers for the Henstock and the Henstock variational...
Andrzej J. Maciejewski (2002)
Banach Center Publications
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The aim of this paper is to present two examples of non academic Hamiltonian systems for which the Morales-Ramis theory can be applied effectively. First, we investigate the Gross-Neveu system with n degrees of freedom. Till now it has been proved that this system is not integrable for n = 3. We give a simple proof that it is not completely integrable for an arbitrary n ≥ 3. Our second example is a natural generalisation of the Jacobi problem of a material point moving on an ellipsoid....
R. Gordon (1989)
Studia Mathematica
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Dragović, Vladimir (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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J. Golenia, O. Hentosh, A. Prykarpatsky (2007)
Open Mathematics
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The Hamiltonian representation for a hierarchy of Lax type equations on a dual space to the Lie algebra of integro-differential operators with matrix coefficients, extended by evolutions for eigenfunctions and adjoint eigenfunctions of the corresponding spectral problems, is obtained via some special Bäcklund transformation. The connection of this hierarchy with integrable by Lax two-dimensional Davey-Stewartson type systems is studied.
Ye, Guoju, An, Tianqing (2001)
International Journal of Mathematics and Mathematical Sciences
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Valeria Marraffa (2006)
Czechoslovak Mathematical Journal
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The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex space are defined and the relations with other integrals are studied. A characterization of locally convex spaces in which Henstock Lemma holds is given.