On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations
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.
English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 5, pp 747-754.
Citation Example: Kostin A. V., Skrypnik I. V. On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations // Ukr. Mat. Zh. - 1997. - 49, № 5. - pp. 672–677.