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Investigation and solution of boundary-value problems with parameters by numerical-analytic method

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Ukrainian Mathematical Journal Aims and scope

Abstract

We suggest a modification of the numerical-analytic iteration method. This method is used for studying the problem of existence of solutions and for constructing approximate solutions of nonlinear two-point boundary-value problems for ordinary differential equations with unknown parameters both in the equation and in boundary conditions.

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References

  1. A. Yu. Luchka, “A boundary-value problem for differential equations with parameters and its solution by the projection method,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 9, 12–15 (1989).

    Google Scholar 

  2. A. Yu. Luchka, “Application of iteration processes to boundary-value problems for differential equations with parameters,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 10, 22–27 (1989).

    Google Scholar 

  3. N. I. Ronto and V. A. Ronto, “A method for studying boundary-value problems with parameters,” in:Boundary-Value Problems in Mathematical Physics [in Russian], Naukova Dumka, Kiev (1990), pp. 3–10.

    Google Scholar 

  4. A. M. Samoilenko and N. I. Ronto,Numerical-Analytic Methods for Studying Solutions of Boundary-Value Problems [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

  5. A. M. Samoilenko and N. I. Ronto,Numerical-Analytic Methods for Studying Periodic Solutions [in Russian], Vyshcha Shkola, Kiev (1976).

    Google Scholar 

  6. A. M. Samoilenko and N. I. Ronto,Numerical-Analytic Methods in the Theory of Boundary-Value Problems for Ordinary Differential Equations [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  7. M. A. Krasnosel'skii, G. M. Vainikko, P. P. Zabreiko, et al.,Approximate Solution of Operator Equations [in Russian], Nauka, Moscow (1969).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    N. I. Ronto

  2. Uzhgorod University, Uzhgorod

    I. I. Korol'

Authors
  1. N. I. Ronto
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  2. I. I. Korol'
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 8, pp. 1031–1042, August, 1994.

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Ronto, N.I., Korol', I.I. Investigation and solution of boundary-value problems with parameters by numerical-analytic method. Ukr Math J 46, 1131–1144 (1994). https://doi.org/10.1007/BF01056174

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  • DOI: https://doi.org/10.1007/BF01056174

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