Browsing 2008, Studia Mathematica 7 by Title
Now showing items 8-12 of 12
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On functional bases of the first-order differential invariants for non-conjugate subgroups of the Poincaré group $P(1,4)$
(2008)It is established which functional bases of the first-order differential invariants of the splitting and non-splitting subgroups of the Poincaré group $P(1,4)$ are invariant under the subgroups of the extended Galilei group ... -
Optimal design of unbounded 2D composite materials with circular inclusions of different radii
(2008)Optimal design problem for 2D composite materials with different circular inclusions is studied on the base of the potential method combined with functional equation method. Exact geometric description of the optimal ... -
Riemann integrability of a nowhere continuous multifunction
(2008)We present an example of the Riemann integrable multifunction which is discontinuous at each point with respect to the Hausdorff metric. The constructed multifunction is neither lower nor upper semicontinuous. -
Sign-changing Lyapunov functions in linear extensions of dynamical systems
(2008)In this note we consider sets of linear extensions of dynamical systems on a torus. We examine regularity of the systems by means of a given sign-changing Lyapunov function. The main result of the paper is to give ... -
The transmission problem for elliptic second order equations in a conical domain
(2008)The present article is a survey of our last results. We establish best possible estimates of the weak solutions to the transmission problem near conical boundary point. We study this problem for the Laplace operator ...