On an application of the generalized Floquet theory to the transformation of the equation y ' ' = q ( t ) y into its associated equation

Staněk, Svatoslav

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika (1979)

  • Volume: 18, Issue: 1, page 81-92
  • ISSN: 0231-9721

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Staněk, Svatoslav. "On an application of the generalized Floquet theory to the transformation of the equation $y^{\prime \prime }= q(t) y$ into its associated equation." Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika 18.1 (1979): 81-92. <http://eudml.org/doc/23364>.

@article{Staněk1979,
author = {Staněk, Svatoslav},
journal = {Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika},
keywords = {Floquet theory; second order; differential equations; oscillatory differential equations; characteristic multiplier; quadratic algebraic equation},
language = {eng},
number = {1},
pages = {81-92},
publisher = {Palacký University Olomouc},
title = {On an application of the generalized Floquet theory to the transformation of the equation $y^\{\prime \prime \}= q(t) y$ into its associated equation},
url = {http://eudml.org/doc/23364},
volume = {18},
year = {1979},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - On an application of the generalized Floquet theory to the transformation of the equation $y^{\prime \prime }= q(t) y$ into its associated equation
JO - Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
PY - 1979
PB - Palacký University Olomouc
VL - 18
IS - 1
SP - 81
EP - 92
LA - eng
KW - Floquet theory; second order; differential equations; oscillatory differential equations; characteristic multiplier; quadratic algebraic equation
UR - http://eudml.org/doc/23364
ER -

References

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  1. O. Borůvka, Linear differential transformations of the second order, The English Universities Press, London 1971. (1971) MR0463539
  2. O. Бopyвкa, Teopuя глoбaлъныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaлъныx ypaвнeнuй вmopoгo nopядкa, Диффepeнциaльныe ypaвнeния, No 8, т. ХII, 1976, 1347-1383. (1976) 
  3. S. Staněk, Phase and dispersion theory of the differential equation y" = q(t)y in connection with the generalized Floquet theory, Arch. Math. (Brno), XIV, 2, 1978, 109-122. (1978) MR0512750

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