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Application of the averaging method for solving multipoint boundary-value problems with nonlinear boundary condition for systems of differential and integrodifferential equations not solved with respect to the derivative

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Literature cited

  1. D. D. Vainov, “Asymptotic formulas for one boundary-value problem,” Proc. Fifth Internat. Conf. Nonlin. Oscill. [in Russian], Vol. 1, Izd. Inst. Mat. Akad. Nauk Ukr. SSR (1970), pp. 45–54.

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  2. D. D. Vainov, “Solving certain boundary-value problems by the averaging method on the basis of asymptotics constructed for the Cauchy problem,” Izv. na Mat. Inst. na B“lgar. Akad. Nauk,15, 5–20 (1974).

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  3. S. D. Milusheva, “Application of the averaging method to one two-point boundary-value problem for systems of integrodifferential equations of Volterra type,” Ukr. Mat. Zh.,26, No. 3, 338–347 (1974).

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  4. S. D. Milusheva and D. D. Vainov, “Application of the averaging method for solving multipoint boundary-value problems with a linear boundary condition for systems of integrodifferential equations of Volterra not solved relative to the derivative,” Soobshch. Akad. Nauk Gruz. SSR,78, No. 3, 545–548 (1975).

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  5. A. N. Filatov, Averaging Methods in Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1971).

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Authors and Affiliations

  1. Higher Machine-Electrical Engineering Institute, Plovdiv University, Sofia

    S. D. Milusheva & D. D. Vainov

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  1. S. D. Milusheva
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  2. D. D. Vainov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 29, No. 2, pp. 263–268, March–April, 1977.

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Milusheva, S.D., Vainov, D.D. Application of the averaging method for solving multipoint boundary-value problems with nonlinear boundary condition for systems of differential and integrodifferential equations not solved with respect to the derivative. Ukr Math J 29, 199–203 (1977). https://doi.org/10.1007/BF01089251

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  • DOI: https://doi.org/10.1007/BF01089251

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