Open AccessProperties of the averaging along the characteristics hyperbolic of the system operator
Author(s) -
Aleksandras Krylovas,
Olga Lavcel-Budko
Publication year - 2012
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.b.2012.05
Subject(s) - operator (biology) , riemann hypothesis , mathematics , set (abstract data type) , mathematical analysis , hyperbolic partial differential equation , pure mathematics , computer science , partial differential equation , biochemistry , chemistry , repressor , transcription factor , gene , programming language
Examing the averaged equations system with periodic initial conditions. Proved the lemmas, which allow to reorganize the system in to the form similar to a semi-linear hyperbolic system written in Riemann invariants. This allows to set conditions for the existence of the solution.