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Attractors of Ordinary Differential Equations

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Abstract

We obtain sufficient conditions for the existence of polynomial attractors and polynomial equilibrium.

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REFERENCES

  1. E. I. Moiseev and V. A. Sadovnichii, On Boundary-Value Problems for One Nonlinear Gravitational Equation [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  2. E. V. Voskresenskii, “On the Cesari problem,” Differents. Uravn., 25, No.9, 1480–1485 (1989).

    Google Scholar 

  3. J. D. Dollard and C. N. Friedman, “Asymptotic behaviour of solutions of linear ordinary differential equations,” J. Math. Anal. Appl., 66, 394–398 (1978).

    Google Scholar 

  4. L. Cesari, Asymptotic Behavior and Stability Problems in Ordinary Differential Equations, Springer (1959).

  5. E. V. Voskresenskii, “Direct Lyapunov method and asymptotic equilibrium,” Differents. Uravn., 33, No.6, 854 (1997).

    Google Scholar 

  6. T. Yoshizava, “Liapunov's function and boundedness of solutions,” Funkc. Ekvacioj., 2, 71–103 (1959).

    Google Scholar 

  7. E. V. Voskresenskii, “Uniform boundedness of solutions, asymptotic equilibrium, periodic solutions, and the direct Lyapunov method,” in: Proceedings of the Third International Conference “Differential Equations and Their Applications” [in Russian], Saransk (1998), pp. 9–13.

  8. E. V. Voskresenskii, “On uniform boundedness of solutions,” Differents. Uravn. 24, No.2, 346–348 (1988).

    Google Scholar 

  9. N. Rouche, P. Habets, and M. Laloy, Stability Theory by Liapunov's Direct Method, Springer (1977).

  10. E. V. Voskresenskii, “Asymptotic behavior of solutions and homeomorphism of initial conditions of differential equations,” Izv. Vyssh. Uchebn. Zaved., Ser. Mat., No. 3, 3–9 (1985).

    Google Scholar 

  11. M. Svec, “Asymptotic relationship between solutions of two systems of ordinary differential equations,” Czech. Math. J., 24, 44–48 (1974).

    Google Scholar 

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Authors and Affiliations

  1. Mordovia University, Saransk

    E. V. Voskresenskii

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  1. E. V. Voskresenskii
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Voskresenskii, E.V. Attractors of Ordinary Differential Equations. Ukrainian Mathematical Journal 52, 1513–1526 (2000). https://doi.org/10.1023/A:1010444916069

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