Essentially Infinite-Dimensional Evolution Equations

We investigate the Cauchy problem for evolution equations with essentially infinite-dimensional elliptic operators.     

Optimal detection of discontinuous changes of signal parameters in discrete time

The problem of optimal detection (discrimination) of signals with random discontinuous parameter changes in discrete time is examined. A recursion algorithm for calculation of the likelihood ratio in real time is obtained. As an example, the problem of optimal detection of a rectangular pulse signal with a random time of appearance, duration, and amplitude is solved. Computer simulation results are presented.     

Glycosides of marine invertebrates. XII. Structure of a new triterpene oligoglycoside from holothurians of familyStichopodidae

From an ethanolic extract of the holothuriansStichopus chloronotus by column chromatography on silica gel a new triterpene oligoside has been isolated the structure of which has been established as 23(S)-acetoxy-3β-{4′-O-[O-(3-O-methyl-β-D-glucopyranosyl)-(1→3)-β-D-glucopyranosyl]-2′-O-[O-(3-O-methyl-β-D-glucopyranosyl(-(1→3)-O-β-D-xylopyranosyl-(1→4)-β-D-glucopyranosyl]-β-D-xylopyranosyloxy}holost-7-ene. A hypothesis has been put forward concerning the biosynthesis of the carbohydrate chains in the glycosides of holothurians of the orderAspidochirota from bioside blocks.