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Ukrainian Mathematical Journal

, Volume 22, Issue 2, pp 225–229 | Cite as

Existence theorems for the solutions of integro-differential equations with a deviating argument dependent on the solution

  • L. G. Fedorenko
Brief Communications
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Keywords

Existence Theorem 
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Literature cited

  1. 1.
    V. P. Misnik, “On the theory of integro-differential equations with a deviating argument,” in: Research on Integro-Differential Equations at Kirgiz [in Russian], No. 3, Ilim, Frunze (1965).Google Scholar
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    P. S. Gromova, “Certain aspects of the qualitative theory of integro-differential equations with a deviating argument,” in: Trans. Seminar Theory Diff. Eqts. with Deviating Argument [in Russian], Vol. 5 (1967).Google Scholar
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    A. M. Letov, “Report on a trip to America,” Avtomatika i Telemekhanika, No. 8 (1966).Google Scholar
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    D. G. Korenevskii, “Self-oscillatory modes in systems with one degree of freedom” Prikladnaya Mekhanika, No. 12 (1966).Google Scholar
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    S. B. Norkin, Second-Order Differential Equations with Lagging Argument [in Russian], Nauka, Moscow (1965).Google Scholar
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    D. G. Korenevskii, “On the singular form of the parametric oscillations in oscillators with a self-eontrolled lag,” Mekhanika Tverdogo Tela, No. 4 (1967).Google Scholar
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    L. G. Fedorenko, “General theorem for integro-differential equations with a deviating argument in the case when the deviation of the argument depends upon the unknown function,” Report Abstracts Second All-Union Conf. Diff. Eqts. with Deviating Argument [in Russian], Chernovits (1968).Google Scholar
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    L. É. Él'sgol'ts, Introduction to the Theory of Differential Equations with a Deviating Argument [in Russian], Nauka, Moscow (1964).Google Scholar
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    D. G. Korenevskii and S. F. Feshchenko, “Existence and uniqueness theorem for the Cauchy problem for an hyperbolic equation with a self-controlled lag,” Differentsial'nye Uravneniya., 3, No. 8 (1967),Google Scholar
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    R. Driver, “Existence theory for a delay-differential system,” Contributions to Differential Equations, Vol. 1, New York (1963), pp.317–336.Google Scholar

Copyright information

© Consultants Bureau 1970

Authors and Affiliations

  • L. G. Fedorenko
    • 1
  1. 1.Kiev National Economy InstituteUSSR

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