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Giovanni Porcello 《Mathematische Nachrichten》2014,287(14-15):1733-1744
In this paper we introduce the notion of decomposability in the space of Henstock‐Kurzweil‐Pettis integrable (for short HKP‐integrable) functions. We show representations theorems for decomposable sets of HKP‐integrable or Henstock integrable functions, in terms of the family of selections of suitable multifunctions. 相似文献
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In this paper, we introduce the class of extended Hamilton operators and study various properties of this class. We examine the decomposability of extended Hamilton operators. In addition,we prove that an extended Hamilton operator with property(δ) is subscalar. Finally, we consider Weyl type theorems of this class. 相似文献
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The asymptotic form of the number of n-quasigroups of order 4 is $3^{n + 1} 2^{2^n + 1} (1 + o(1))$ . 相似文献
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Chang [1991] stated some inclusion relation about kernel, reasonable set, and ε-core of games with coalition structure. We
give counterexamples and modify erroneous results.
Received: May 1997/Revised version: January 1999 相似文献
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Quality of service guarantees are an important and much discussed aspect of ATM network design. However, there is no standard definition of quality of service. Moreover, some often-used criteria seem quite crude. We consider call admission to a bufferless ATM multiplexer with on/off sources. A new criterion for a guarantee on average cell loss is proposed. This criterion represents the quality of service from the point of view of the user, and is thus more reliable. We calculate the optimal policy that minimizes blocking subject to the guarantee, when there is only one type of user.The measure of cell-loss we propose is applicable to a wide range of models. It gives rise to a mathematical programming formulation, which we derive explicitly for our case. 相似文献
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We introduce a criterion that a given bi-Hamiltonian structure admits a local coordinate system where both brackets have
constant coefficients. This criterion is applied to the bi-Hamiltonian open Toda lattice in a generic point, which is shown
to be locally isomorphic to a Kronecker odd-dimensional pair of brackets with constant coefficients. This shows that the open
Toda lattice cannot be locally represented as a product of two bi-Hamiltonian structures. Near, a generic point, the bi-Hamiltonian
periodic Toda lattice is shown to be isomorphic to a product of two open Toda lattices (one of which is a (trivial) structure
of dimension 1). While the above results might be obtained by more traditional methods, we use an approach based on general
results on geometry of webs. This demonstrates the possibility of applying a geometric language to problems on bi-Hamiltonian
integrable systems; such a possibility may be no less important than the particular results proved in this paper. Based on
these geometric approaches, we conjecture that decompositions similar to the decomposition of the periodic Toda lattice exist
in local geometry of the Volterra system, the complete Toda lattice, the multidimensional Euler top, and a regular bi-Hamiltonian
Lie coalgebra. We also state general conjectures about the geometry of more general "homogeneous" finite-dimensional bi-Hamiltonian
structures. The class of homogeneous structures is shown to coincide with the class of systems integrable by Lenard scheme.
The bi-Hamiltonian structures which admit a non-degenerate Lax structure are shown to be locally isomorphic to the open Toda
lattice. 相似文献
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B. Grigelionis 《Lithuanian Mathematical Journal》2001,41(3):239-251
The class of generalized z–distributions is defined and their properties are investigated. Ornstein–Uhlenbeck–type and self–similar generalized z–processes are constructed and described. Esscher transforms of the generalized z–processes and the mixed generalized z–processes are characterized. Finally, construction and some properties of generalized z–diffusions are also discussed. 相似文献
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