Properties of the averaging along the characteristics hyperbolic of the system operator | Zendy

Aleksandras Krylovas | Zendy; Olga Lavcel-Budko | Zendy

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Properties 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.

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