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

• Datum: 1997
• Hauptverfasser: Kostin, A. V., Skrypnik, I. V., Костин, А. В., Скрыпник, И. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5047
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.