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

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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

  1. 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).

  2. A. V. Kostin, “On asymptotic series in the theory of nonlinear systems of ordinary differential equations,” Differents. Uravn., 3, No. 6, 885–889 (1967).

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Authors
  1. A. V. Kostin
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  2. I. V. Skripnik
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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

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