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Displaying similar documents to “Boundedness and square integrability of solutions of certain third-order differential equations”

Kovalevska vs. Kovacic-two different notions of integrability and their connections

Paweł Goldstein (2002)

Banach Center Publications

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Ordinary differential equations all share the same common root-real physical problems. But, although the physical motivation remains the most important one, the way the subject develops does depend highly on the methods available. In the exposition I would like to show some connections between two methods of checking the ODE for integrability (whatever it should mean), with distant motivations and techniques. These are the so-called Painlevé tests and the methods originating in Ziglin's...

Latin squares of order 10.

McKay, Brendan D., Rogoyski, Eric (1995)

The Electronic Journal of Combinatorics [electronic only]

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A strengthening of a theorem of Marcinkiewicz

Konstantin E. Tikhomirov (2011)

Banach Center Publications

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We consider a problem of intervals raised by I. Ya. Novikov in [Israel Math. Conf. Proc. 5 (1992), 290], which refines the well-known theorem of J. Marcinkiewicz concerning structure of closed sets [A. Zygmund, Trigonometric Series, Vol. I, Ch. IV, Theorem 2.1]. A positive solution to the problem for some specific cases is obtained. As a result, we strengthen the theorem of Marcinkiewicz for generalized Cantor sets.