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Asymptotic Equivalence of Triangular Differential Equations in Hilbert Spaces

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In this article, we study conditions for the asymptotic equivalence of differential equations in Hilbert spaces. We also discuss the relationship between the properties of solutions of differential equations of triangular form and those of truncated differential equations.

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REFERENCES

  1. E. A. Barbashin, Introduction to Stability Theory [in Russian], Nauka, Moscow (1967).

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  2. B. P. Demidivitch, Lectures on Mathematical Theory of Stability [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  3. N. Levinson, “The asymptotic behavior of systems of linear differential equations,” Amer. J. Math., 63, 1–6 (1946).

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  4. Nguyen The Hoan, “Asymptotic equivalence of systems of differential equations,” Izv. Akad. Nauk Az. SSR., No. 2, 35–40 (1975).

  5. Dang Dinh Chau, “Studying the instability of infinite systems of differential equations by general characteristic number,” Sci. Bull. Nat. Univ. Belarus, Ser. 1. Phys., Math., Mech., No. 1, 48–51 (1983).

  6. Vu Tuan and Dang Dinh Chau, “On the Lyapunov stability of a class of differential equations in Hilbert spaces,” in: Sci. Bull. Univ. Math. Ser., Vietnam (1996).

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Published in Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 3, pp. 329–337, March, 2005.

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Chau, D.D., Tuan, V. Asymptotic Equivalence of Triangular Differential Equations in Hilbert Spaces. Ukr Math J 57, 394–405 (2005). https://doi.org/10.1007/s11253-005-0198-3

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  • DOI: https://doi.org/10.1007/s11253-005-0198-3

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