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Systems of singularly perturbed degenerate integro-differential equations

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Abstract

We construct asymptotic solutions of singularly perturbed homogeneous and inhomogeneous systems of integro-differential Fredholm-type equations with a degenerate matrix as the coefficient of the derivative.

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References

  1. N. I. Shkil’,Asymptotic Methods in Differential Equations [in Ukrainian], Vyshcha Shkola, Kiev (1971).

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  2. N. I. Shkil’,Asymptotic Methods in the Theory of Linear Differential Equations and Their Applications [in Russian], Vyshcha Shkola, Kiev (1996).

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  3. N. I. Shkil’, I. I. Starun, and V. P. Yakovets,Asymptotic Integration of Linear Systems of Degenerate Differential Equations [in Russian], Vyshcha Shkola, Kiev (1991).

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  4. N. N. Bogolyubov and Yu. A. Mitropol’skii,Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1963).

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Authors and Affiliations

  1. National Pedagogical University, Kiev

    N. I. Shkil’ & G. V. Zavizion

Authors
  1. N. I. Shkil’
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  2. G. V. Zavizion
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 12, pp. 1694–1703, December, 1999.

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Shkil’, N.I., Zavizion, G.V. Systems of singularly perturbed degenerate integro-differential equations. Ukr Math J 51, 1917–1928 (1999). https://doi.org/10.1007/BF02525133

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  • DOI: https://doi.org/10.1007/BF02525133

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