On some continuities of phases theory and WKB method for linear differential equation of the second order

Jiří Zeman

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1991)

  • Volume: 30, Issue: 1, page 39-47
  • ISSN: 0231-9721

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Zeman, Jiří. "On some continuities of phases theory and WKB method for linear differential equation of the second order." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 30.1 (1991): 39-47. <http://eudml.org/doc/23544>.

@article{Zeman1991,
author = {Zeman, Jiří},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {formal asymptotic solution; second order linear differential equation; first phase; WKB solution},
language = {eng},
number = {1},
pages = {39-47},
publisher = {Palacký University Olomouc},
title = {On some continuities of phases theory and WKB method for linear differential equation of the second order},
url = {http://eudml.org/doc/23544},
volume = {30},
year = {1991},
}

TY - JOUR
AU - Zeman, Jiří
TI - On some continuities of phases theory and WKB method for linear differential equation of the second order
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1991
PB - Palacký University Olomouc
VL - 30
IS - 1
SP - 39
EP - 47
LA - eng
KW - formal asymptotic solution; second order linear differential equation; first phase; WKB solution
UR - http://eudml.org/doc/23544
ER -

References

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  1. Borůvka O., Lineare Differentialtransformationen 2.Ordnung, VEB Deutscher Verlag der Wissenschaften, Berlin 1967. (1967) MR0236448
  2. Fedoryuk M.V., Asymptotic Methods for Linear Differential Equations, (Russian), Nauka, Moscow, 1983. (1983) MR0732787
  3. Hartman P., Ordinary Differential Equations, (Russian), Mir, Moscow, 1970. (1970) Zbl0214.09101MR0352574
  4. Laitoch M., Homogene lineare zu sich selbst begleitende Differentialgleichung zweiter Ordnung, Acta UPO, Fac. rer. nat., Tom. 33, Math. X (1971), 61-72. (1971) Zbl0298.34006MR0320410
  5. Kamke E., Differentialgleichungen. Lösungsmethoden und Lösungen, Leipzig, 1959. (1959) 
  6. Zeman J., Über eine Anwendung der Phasentheorie, Acta UPO, Fac.rer.nat., Tom. 53, Math. XVI (1977), 137-140. (1977) Zbl0415.34015MR0594989
  7. Zeman J., Eine Bemerkung zur Methode WKB, Acta UPO, Fac.rer.nat., Tom. 57, Math. XVII (1978), 61-68. (1978) MR0554037
  8. Zeman J., Zur asymptotischen Integration der Differentialgleichung y" + q(t)y = 0, Acta UPO, Fac.rer.nat., Tom 69, Math. XX (1981), 129-132. (1981) MR0645895

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