On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations

• Published in: Український математичний журнал
• Date: 1997
• Main Authors: Kostin, A.V., Skripnik, I.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1997
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156977
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations / A.V. Kostin, I.V. Skripnik // Український математичний журнал. — 1997. — Т. 49, № 5. — С. 672–677. — англ.

We consider a quasilinear system of difference equations with certain conditions. We prove that there exists a formal partial o-solution of this system in the form of functional series of special type. We also prove a theorem on the asymptotic behavior of this solution. Досліджується квазілінійиа си...