Asymptotic expansion of solutions of the equation ( p y ' ) ' + q y = 0

Miloš Ráb

Archivum Mathematicum (1966)

  • Volume: 002, Issue: 1, page 1-17
  • ISSN: 0044-8753

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Ráb, Miloš. "Les développements asymptotiques des solutions de l’équation $(py^{\prime } )^{\prime } +qy=0$." Archivum Mathematicum 002.1 (1966): 1-17. <http://eudml.org/doc/15791>.

@article{Ráb1966,
author = {Ráb, Miloš},
journal = {Archivum Mathematicum},
language = {fre},
number = {1},
pages = {1-17},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Les développements asymptotiques des solutions de l’équation $(py^\{\prime \} )^\{\prime \} +qy=0$},
url = {http://eudml.org/doc/15791},
volume = {002},
year = {1966},
}

TY - JOUR
AU - Ráb, Miloš
TI - Les développements asymptotiques des solutions de l’équation $(py^{\prime } )^{\prime } +qy=0$
JO - Archivum Mathematicum
PY - 1966
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 002
IS - 1
SP - 1
EP - 17
LA - fre
UR - http://eudml.org/doc/15791
ER -

References

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  1. Ascoli G., Sulla forma degli integrali dell’ equazione differenziale y " + A ( x ) y = 0 in un caso notevole di stabilità, Revista Universidad nacional del Tucumán. Facultad de ciencias exactas y aplicadas. Tucumán. Seг A. Matemáticas y física teórica 2 (1941), p. 131-140. (1941) MR0006795
  2. Ascoli G., Sopra un caso di stabilità per la equazione differenziale y " + A ( x ) y = 0 , Annali di Matematica Pura ed Applicata (4) 26 (1947), p. 199-206. (1947) MR0026186
  3. Baker H. F., On the integration of linear differential equations, Proceedings of the London Mathematical Society 35 (1903), p. 333-378. (1903) 
  4. Fubini G., Studi asintotici per alcune equazioni differenziali, Atti della. Accademia Nazionale dei Linzei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Natuгali, (6) 26 (1937), p. 253-269. (1937) 
  5. Kamke E., Differentialgleichungen reeller Funktionen, Leipzig 1930. (1930) 
  6. Peano G., Integrazione per serie delle equazioni differenziali lineari, Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematische e Naturali 22 (1887), p. 293-302. 
  7. Ráb M., Kriterien für die Oszillation der Lösungen der Differentialgleichung [ p ( x ) y ' ] ' + q ( x ) y = 0 , Časopis pro pěstování matematiky, 84 (1969), p. 335-370. (1969) 
  8. Ráb M., Asymptotische Eigenschaften von Lösungen der Differentialgleichung y " = A ( x ) y im nichtoszillatorischen Fall, Czechoslovak Mathematical Journal (85) 10 (1960), p. 501-522. (1960) MR0138842
  9. Ráb M., Aвymptotische Formeln für die Lösungen der Differentialgleichung y " + q ( x ) y = 0 , Czechoslovak Mathematical Journal, (89) 14 (1964), p. 203-221. (1964) MR0165173
  10. Ráb M., Note sur les Formules asymptotiques pour les solutions d'un système des équations différentielles linéaires, sous presse dans Czechoslovak Mathematical Journal. 
  11. Richard U., Sulla risoluzione asintitico-numerica dell’equazione differenziale ( p y ' ) ' + q y = 0 , Atti della Accademia delle Scienze di Toгino. Classe di Seienze Fisiche, Matematiche e Naturali 97 (1962/63), p. 867-890. (1962) MR0155046
  12. Sansone G., Equazioni differenziali nel campo reale, Bologna 1949. (1949) Zbl0039.30901

Citations in EuDML Documents

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  1. Ivo Res, Asymptotische Formeln für die Lösungen der linearen Differentialgleichungen dritter Ordnung
  2. Miloš Ráb, On the existence of solutions of certain nonlinear equations occurring in the transformation theory of a linear second order differential equation with complex valued coefficients
  3. Ivo Res, Asymptotic properties of solutions of the differential equation { A n - 1 - 1 ( t ) [ A 1 - 1 ( t ) y ' ] ' } ' = A n ( t ) y + F ( t )
  4. Ivan Kiguradze, On the oscillatory and monotone solutions of ordinary differential equations

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