Asymptotic properties of solutions of the differential equation { A n - 1 - 1 ( t ) ⋯ [ A 1 - 1 ( t ) y ' ] ' ⋯ } ' = A n ( t ) y + F ( t )

Ivo Res

Archivum Mathematicum (1979)

  • Volume: 015, Issue: 2, page 119-128
  • ISSN: 0044-8753

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Res, Ivo. "Asymptotic properties of solutions of the differential equation $\lbrace A^{-1}_{n-1}(t)\dots [A^{-1}_1(t)y^{\prime }]^{\prime }\dots \rbrace ^{\prime }=A_n(t)y+F(t)$." Archivum Mathematicum 015.2 (1979): 119-128. <http://eudml.org/doc/17998>.

@article{Res1979,
author = {Res, Ivo},
journal = {Archivum Mathematicum},
keywords = {nth order nonhomogeneous linear differential equation; Peano-Baker method},
language = {eng},
number = {2},
pages = {119-128},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic properties of solutions of the differential equation $\lbrace A^\{-1\}_\{n-1\}(t)\dots [A^\{-1\}_1(t)y^\{\prime \}]^\{\prime \}\dots \rbrace ^\{\prime \}=A_n(t)y+F(t)$},
url = {http://eudml.org/doc/17998},
volume = {015},
year = {1979},
}

TY - JOUR
AU - Res, Ivo
TI - Asymptotic properties of solutions of the differential equation $\lbrace A^{-1}_{n-1}(t)\dots [A^{-1}_1(t)y^{\prime }]^{\prime }\dots \rbrace ^{\prime }=A_n(t)y+F(t)$
JO - Archivum Mathematicum
PY - 1979
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 015
IS - 2
SP - 119
EP - 128
LA - eng
KW - nth order nonhomogeneous linear differential equation; Peano-Baker method
UR - http://eudml.org/doc/17998
ER -

References

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  1. M. Ráb, Les dèvelopements asymptotiques des solutions de l'equation, Arch. Math. Brno, T2 (1966). (1966) MR0199488
  2. M. Ráb, Über lineare Perturbationen eines Systems von linearen Differentialgleichungen, Czech. Mat. Journ. Praha, T 8 (83) (1953). (1953) MR0102633
  3. M. Ráb, Asymptotic expansion of solutions of the equation ( p ( x ) y ' ) ' - q ( x ) y = 0 with complex-valued coefficients, Arch. Math. Brno, MR0315231
  4. I. Res, Asymptotische Eìgenschaften einer perturbierten interierten Differentialgleichung, Arch. Math. Brno, T X (1974), 149-158. (1974) MR0477314
  5. I. Res, Asymptotické vlastnosti řešení diferenciálni rovnice A n - 1 - 1 ( x ) ... [ A 1 - 1 ( x ) y ' ] ' ... ' = A n ( x ) y , Acta Universitatis Agriculturae Brno, Ser. C. 43, (1974, 4) 365--372. (1974) 
  6. U. Richard, Serie asintotische per una classe di equationi differenziali de 2° ordine, Rendiconti del Sem. Math. Torino, Vol. 23 (1963-1964). (1963) MR0173810

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