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Hekimov, K.; Esmatov, H.

Averaging in certain systems of integrodifferential equations with slowly changing and rapidly changing variables. (English) Zbl 0362.45010

Ukr. Math. J. 28(1976), 539-542 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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MSC:

45J05 Integro-ordinary differential equations
34C30 Manifolds of solutions of ODE (MSC2000)
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References:

[1] A. N. Filatov, Methods of Averaging in Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1971). · Zbl 0259.34002
[2] A. A. Il’yushin and B. E. Pobedrya, Fundamentals of the Mathematical Theory of Thermoviscoelasticity [in Russian], Nauka, Moscow (1970).
[3] U. Tokhtarov, M. A. Koltunov, B. I. Morgunov, and I. E. Troyanovskii, ?Nonlinear dynamical problem concerning a cylinder with a varying interior boundary,? Mekhanika Polimerov, No. 2 (1973).
[4] A. N. Filatov, ?Averaging in systems of integral and integrodifferential equation,? in: Studies in Analytical Mechanics [in Russian], Fan, Tashkent (1965). · Zbl 0156.35202
[5] A. N. Filatov, Averaging in Systems of Differential, Integrodifferential, and Integral Equations [in Russian], Fan, Tashkent (1967). · Zbl 0155.42103
[6] A. N. Filatov, ?Asymptotic methods in the nonlinear theory of viscoelasticity,? Mekhanika Polimerov, No. 2 (1974).
[7] N. N. Bogolyubov and Yu. A. Mitropol’skii, Asymptotic Methods in the Theory of Nonlinear Oscillations, Princeton Univ. Press, Princeton (1947).
[8] Yu. A. Mitropol’skii, Method of Averaging in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).
[9] Yu. A. Mitropol’skii and A. N. Filatov, ?Averaging of integrodifferential and integral equations,? Ukr. Mat. Zh.,24, No. 1, 30-49 (1972).
[10] V. M. Volosov and B. I. Morgunov, Method of Averaging in the Theory of Nonlinear Oscillating Systems [in Russian], MGU, Moscow (1971). · Zbl 0232.70021
[11] L. V. Rakin, ?On the estimation of solutions of a system of differential equations with a small parameter,? Diff. Urav.,10, No. 10, 1908-1910 (1974). · Zbl 0311.34057
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