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Asymptotic integration of a singularly perturbed quasilinear cauchy problem in a banach space

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Abstract

We investigate the asymptotic behavior of a solution of a singularly perturbed quasilinear abstract differential equation in a Banach space.

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References

  1. V. S. Korolyuk and A. F. Turbin,Mathematical Foundations of the State Lumping of Complex Systems [in Russian], Naukova Dumka, Kiev (1978).

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  3. Ya. D. Plotkin and A. F. Turbin,Evolution Operator of a Nonautonomous Singularly Perturbed Differential Equation in a Banach Space [in Russian], Preprint No. 87.20, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1987).

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Authors
  1. Ya. D. Plotkin
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  2. A. F. Turbin
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 8, pp. 1077–1086, August, 1999.

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Plotkin, Y.D., Turbin, A.F. Asymptotic integration of a singularly perturbed quasilinear cauchy problem in a banach space. Ukr Math J 51, 1214–1225 (1999). https://doi.org/10.1007/BF02592509

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  • DOI: https://doi.org/10.1007/BF02592509

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