Journal•ISSN: 0001-4346
Mathematical Notes
Springer Science+Business Media
About: Mathematical Notes is an academic journal published by Springer Science+Business Media. The journal publishes majorly in the area(s): Bounded function & Boundary value problem. It has an ISSN identifier of 0001-4346. Over the lifetime, 10762 publications have been published receiving 54977 citations. The journal is also known as: Russian Academy of Sciences. Mathematical Notes.
Topics: Bounded function, Boundary value problem, Operator theory, Series (mathematics), Differential equation
Papers published on a yearly basis
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1,113 citations
531 citations
TL;DR: In this article, the density of every infinite semitrajectory in configuration space is proved for a billiard trajectory in a polygon Q⊂R2 having all angles commensurate with π.
Abstract: Consider a billiard in a polygon Q⊂R2 having all angles commensurate with π. For the majority of initial directions, density of every infinite semitrajectory in configuration space is proved. Also proved is the typicality of polygons for which some billiard trajectory is dense in phase space.
300 citations
TL;DR: In this paper, a differencing scheme for a differential equation with a small parameter affecting the highest derivatives is introduced, and the solution of the difference equation is shown to converge uniformly with respect to the small parameter.
Abstract: A differencing scheme is introduced for a differential equation with a small parameter affecting the highest derivatives. In the case of an ordinary differential equation, the solution of the difference equation is shown to converge uniformly with respect to the small parameter.
289 citations
276 citations