Asymptotic properties of solutions of the system { A n - 1 - 1 ( x ) [ A 1 - 1 ( x ) y ' ] } ' = A n ( x ) y

Ivo Res

Archivum Mathematicum (1973)

  • Volume: 009, Issue: 3, page 105-114
  • ISSN: 0044-8753

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Res, Ivo. "Asymptotische Eigenschaften der Lösungen des Systems $\lbrace A^{-1}_{n-1}(x)\dots [A^{-1}_1(x)y^{\prime }]\dots \rbrace ^{\prime }=A_n(x)y$." Archivum Mathematicum 009.3 (1973): 105-114. <http://eudml.org/doc/15952>.

@article{Res1973,
author = {Res, Ivo},
journal = {Archivum Mathematicum},
language = {ger},
number = {3},
pages = {105-114},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotische Eigenschaften der Lösungen des Systems $\lbrace A^\{-1\}_\{n-1\}(x)\dots [A^\{-1\}_1(x)y^\{\prime \}]\dots \rbrace ^\{\prime \}=A_n(x)y$},
url = {http://eudml.org/doc/15952},
volume = {009},
year = {1973},
}

TY - JOUR
AU - Res, Ivo
TI - Asymptotische Eigenschaften der Lösungen des Systems $\lbrace A^{-1}_{n-1}(x)\dots [A^{-1}_1(x)y^{\prime }]\dots \rbrace ^{\prime }=A_n(x)y$
JO - Archivum Mathematicum
PY - 1973
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 009
IS - 3
SP - 105
EP - 114
LA - ger
UR - http://eudml.org/doc/15952
ER -

References

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  1. U. Richard, Serie asintotiche per una di equazioni differenziali lineari non oscillanti del 2 ordine, Rendiconti del Sem. Mat. Torino, Vol. 23 (1963-64) (1963) MR0173810
  2. R. Bellman, Teorija ustojčivosti rešenij differenciaľnych uravněnij, Izdatělstvo inostrannoj lit. 1954 MR0075365
  3. A. Wintner, On a theorem of Bocher in the theory of ordinary linear differential equations, Ameг. J. Math., 76, 1954 Zbl0055.08104MR0058800
  4. M. Ráb, Über lineare Perturbationen eines Systems von linearen Differentialgleichungen, Czech. Mat. J. T. 8 (83), 1953 MR0102633
  5. M. Ráb, Asymptotische Formeln für die Lösungen der Differentialgleichung y" + q(x)y = 0, Czech. Mat. J. T. 14 (12), 1964 Zbl0135.13603MR0165173
  6. M. Ráb, Note sur les Formules asymptotiques pour les solutions d'un système d'équations differentielles linéaires, Czech. Mat. J. T. 16(91), 1966 Zbl0144.09804MR0188527

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