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Asymptotic integration of systems of integro-differential equations with degeneracies

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Abstract

We construct asymptotic solutions of singularly perturbed homogeneous and heterogeneous systems of integro-differential Fredholm-type equations with degenerate matrix at the derivative.

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References

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

    Google Scholar 

  2. N. I. Shkil’, “Asymptotic behavior of solutions of linear systems in the case of multiple roots of the characteristic equation,”Ukr. Mat. Zh.,16, No. 4, 383–392 (1962).

    Google Scholar 

  3. N. I. Shkil’, I. I. Starun, and V. P. Yakovets,Asymptotic Integration of Linear Systems of Ordinary Differential Equations [in Russian], Vyshcha Shkola, Kiev (1989).

    Google Scholar 

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

    Google Scholar 

  5. N. I. Shkil’, A. N. Voronoi, and V. N. Leifura,Asymptotic Methods for Differential and Integro-Differential Equations [in Russian], Vyshcha Shkola, Kiev (1985).

    Google Scholar 

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

    Google Scholar 

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Authors and Affiliations

  1. Kirovograd Pedagogic Institute, Kirovograd

    G. V. Zavizion

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  1. G. V. Zavizion
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Translated from Ukrainskii Matematicheskii Zhumal, Vol. 51, No. 2, pp. 170–180, February, 1999.

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Zavizion, G.V. Asymptotic integration of systems of integro-differential equations with degeneracies. Ukr Math J 51, 185–197 (1999). https://doi.org/10.1007/BF02513472

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  • DOI: https://doi.org/10.1007/BF02513472

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