Asymptotic equivalence of systems of differential equations with a linear autonomous first approximation

Evgeniĭ Viktorovich Voskresenskiĭ

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 1, page 31-50
  • ISSN: 0010-2628

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Voskresenskiĭ, Evgeniĭ Viktorovich. "Асимптотическая эквивалентность систем дифференциальных уравнений с линейным автономным первым приближением." Commentationes Mathematicae Universitatis Carolinae 024.1 (1983): 31-50. <http://eudml.org/doc/17227>.

@article{Voskresenskiĭ1983,
author = {Voskresenskiĭ, Evgeniĭ Viktorovich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {asymptotic equivalences},
language = {rus},
number = {1},
pages = {31-50},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Асимптотическая эквивалентность систем дифференциальных уравнений с линейным автономным первым приближением},
url = {http://eudml.org/doc/17227},
volume = {024},
year = {1983},
}

TY - JOUR
AU - Voskresenskiĭ, Evgeniĭ Viktorovich
TI - Асимптотическая эквивалентность систем дифференциальных уравнений с линейным автономным первым приближением
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 1
SP - 31
EP - 50
LA - rus
KW - asymptotic equivalences
UR - http://eudml.org/doc/17227
ER -

References

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  1. LEVINSON N., The asymptotic behavior of system of linear differential equations, Amer. J. Math. 68 (1946), 1-6. (1946) MR0015181
  2. BRAUER F., Nonlinear Differential equations with foreing terms, Proc. Amer. Math. Soc. 15 (1964), 758-765. (1964) MR0166452
  3. MIZOHATA S., YAMAGUTI M., On the existence of periodic solutions of the nonlinear differential equation, Mem. Coll. Sci. Univ., Kyoto, ser. A. Math. 27 (1951), 109-113. (1951) MR0054127
  4. HARTMAN P., Ordinary differential equations, New York - London - Sydney, John Wiley 1964. (1964) Zbl0125.32102MR0171038
  5. WINTER A., An Abelian lemma concerning asymptotic equilibria, Amer. Journ. Math. 68 (1946), 451-454. (1946) MR0016812
  6. EPУГИH H. П., Пpивoдимыe cиcтeмы, Tpyды Мaтeм. Ин-та AH CCCP XIII (1946), 736-839. (1946) 
  7. LIMA A. C., A note on the asymptotic equivalence of two systems of differential equations, Acta Fac. Rerum Natur. Univ. Comen. 33 (1977) (1978), 35-49. (1977) Zbl0414.34061MR0541310
  8. ДEMИДOBИЧ B. П., Лoкции пo мaтeмaтичecкoй теopии ycтoйчивocти, Mocквa, "Hayкa", 1967, 472 c. (1967) 

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