Abstract
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.
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References
I. V. Golovan’ (I. V. Skripnik) and A. V. Kostin, On Asymptotic Series in the Theory of Nonlinear Systems of Difference Equations [in Russian], Dep. UkrNIINTI No. 392-UK 91, Kiev (1991).
A. V. Kostin, “On asymptotic series in the theory of nonlinear systems of ordinary differential equations,” Differents. Uravn., 3, No. 6, 885–889 (1967).
Additional information
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 5, pp. 672–677, May, 1997.
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Kostin, A.V., Skripnik, I.V. On asymptotic decompositions of o-solutions in the theory of quasilinear systems of difference equations. Ukr Math J 49, 747–754 (1997). https://doi.org/10.1007/BF02486455
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DOI: https://doi.org/10.1007/BF02486455