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On the seminar on qualitative theory of differential equations at Moscow State University

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References

  1. Nguyen Dinh Cong, On the Stochastic Stability of Lyapunov Exponents of Equations of Arbitrary Order, Mat. Sb., 1987, vol. 132 (174), no. 2, pp. 225–243.

    Google Scholar 

  2. Daletskii, Yu.L. and Krein, M.G., Ustoichivost’ reshenii differentsial’nykh uravnenii v banakhovom prostranstve (Stability of Solutions of Differential Equations in a Banach Space), Moscow: Nauka, 1970.

    Google Scholar 

References

  1. Hill, G.W., On the Part of the Motion of the Lunar Perigee Which is a Function of the Mean Motions of the Sun and Moon, Acta Math., 1886, no. 8, pp. 1–36.

  2. Filippov, A.F., Properties of Solutions of a Linear System with Quasiperiodic Coefficients, Mat. Zametki, 1990, vol. 47, no. 2, pp. 124–129.

    MATH  Google Scholar 

References

  1. Borovskikh, A.V., Group Classification of the Eikonal Equations for a Three-Dimensional Nonhomogeneous Medium, Mat. Sb., 2004, vol. 195, no. 4, pp. 23–64.

    MathSciNet  Google Scholar 

  2. Borovskikh, A.V., Integrability of the Eikonal Equation and Cascade Forms of Riemannian Metrics, Chernozemn. Almanakh Nauchn. Issled., 2009, no. 1 (8), pp. 28–57.

  3. Borovskikh, A.V., Eikonal Equations for an Inhomogeneous Anisotropic Medium, J. Math. Sci., 2010, vol. 164, no. 6, pp. 859–880.

    Article  Google Scholar 

References

  1. Dib, K.A., Simultaneous Reachability of Central Exponents Differ. Uravn., 1974, vol. 10, no. 12, pp. 2125–2136.

    MathSciNet  Google Scholar 

  2. Sergeev, I.N., On the Control of Solutions of a Linear Differential Equation, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 2009, no. 3, pp. 43–51.

  3. Izobov, N.A., Exponential Exponents of a Linear System and Their Calculation, Dokl. Akad. Nauk BSSR, 1982, vol. 26, no. 1, pp. 5–8.

    MathSciNet  Google Scholar 

References

  1. Pokornyi, Yu.V., Penkin, O.M., Pryadiev, V.L., et al., Differentsial’nye uravneniya na geometricheskikh grafakh (Differential Equations on Geometric Graphs), Moscow, 2004.

  2. Provotorov, V.V., Eigenfunctions of the Sturm-Liouville Problem on a Star-Shaped Graph, Mat. Sb., 2008, vol. 199, no. 10, pp. 105–126.

    MathSciNet  Google Scholar 

References

  1. Wasow, W., Asymptotic Expansions for Ordinary Differential Equations, New York: Wiley, 1965. Translated under the title Asimptoticheskie razlozheniya reshenii obyknovennykh differentsial’nykh uravnenii, Moscow: Mir, 1968.

    MATH  Google Scholar 

References

  1. Millionshchikov, V.M., Unsolved Problem in the Theory of Conditional Stability, Uspekhi Mat. Nauk, 1991, vol. 46, no. 6, p. 204.

    MathSciNet  Google Scholar 

  2. Millionshchikov, V.M., Bohl Exponent of a Linear System Whose Coefficients Can Be Unbounded, Differ. Uravn., 1991, vol. 27, no. 8, pp. 1461–1462.

    MathSciNet  Google Scholar 

References

  1. Bryuno, A.D., Asymptotic Behavior and Expansions of Solutions of an Ordinary Differential Equation, Uspekhi Mat. Nauk, 2004, vol. 59, no. 3, pp. 31–80.

    MathSciNet  Google Scholar 

  2. Bryuno, A.D. and Goryuchkina, I.V., On the Convergence of a Formal Solution of an Ordinary Differential Equation, Dokl. Akad. Nauk, 2010, vol. 432, no. 2, pp. 151–154.

    MathSciNet  Google Scholar 

References

  1. Sergeev, I.N., Definition of Wandering Characteristics of Solutions of a Linear System, Differ. Uravn., 2010, vol. 46, no. 6, p. 902.

    MathSciNet  Google Scholar 

  2. Sergeev, I.N., Definition of Complete Frequencies of Solutions of a Linear System, Differ. Uravn., 2009, vol. 45, no. 6, p. 908.

    MathSciNet  Google Scholar 

  3. Sergeev, I.N., Definition of Complete Frequencies of Solutions of a Linear Equation, Differ. Uravn., 2008, vol. 44, no. 11, p. 1577.

    MathSciNet  Google Scholar 

References

  1. Dorodnitsyn, A.A., Asymptotic Solution of the van der Pol Equation, Prikl. Mat. Mekh., 1947, vol. 11, no. 3, pp. 313–328.

    MathSciNet  Google Scholar 

  2. Mishchenko, E.F. and Rozov, N.Kh., Differentsial’nye uravneniya s malym parametrom i relaksatsionnye kolebaniya (Differential Equations with Small Parameter and Relaxation Oscillations), Moscow: Nauka, 1975.

    MATH  Google Scholar 

  3. Abramowitz, M. and Stegun, I., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York: Dover Publ., 1972. Translated under the title Spravochnik po spetsial’nym funktsiyam, Moscow: Nauka, 1979.

    MATH  Google Scholar 

References

  1. Kiguradze, I.T. and Chanturiya, T.A., Asimptoticheskie svoistva reshenii neavtonomnykh obyknovennykh differentsial’nykh uravnenii (Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations), Moscow, 1990.

  2. Astashova, I.V., Application of Dynamical Systems to the Investigation of the Asymptotic Properties of Solutions of Higher-Order Nonlinear Differential Equations, Sovrem. Mat. Prilozh., 2005, vol. 8, pp. 3–33.

    MathSciNet  Google Scholar 

  3. Astashova, I.V., Uniform Estimates for Positive Solutions of Quasilinear Differential Equations, Izv. Ross. Akad. Nauk, 2008, vol. 72, no. 6, pp. 103–124.

    MathSciNet  Google Scholar 

References

  1. Sergeev, I.N., Definition of Wandering Characteristics of Solutions of a Linear System, Differ. Uravn., 2010, vol. 46, no. 6, p. 902.

    MathSciNet  Google Scholar 

References

  1. Izobov, N.A., Karpovich, S.E., Krasnevskii, L.G., and Lipnitskii, A.V., Quasi-Integrals of Even-Dimensional Linear Differential Systems with Skew-Symmetric CoefficientMatrices, Differ. Uravn., 2008, vol. 44, no.12, pp. 1595–1608.

    MathSciNet  Google Scholar 

  2. Izobov, N.A., Karpovich, S.E., Krasnevskii, L.G., and Lipnitskii, A.V., Joint Estimates for Quasi-Integrals of Three-Dimensional Skew-Symmetric Linear Differential Systems, Differ. Uravn., 2009, vol. 45, no.10, pp. 1383–1391.

    MathSciNet  Google Scholar 

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On the seminar on qualitative theory of differential equations at Moscow State University. Diff Equat 46, 1663–1675 (2010). https://doi.org/10.1134/S0012266110110157

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