On the intersection of groups of dispersions of the equation and of its accompanying equation

Staněk, Svatoslav

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1984)

  • Volume: 23, Issue: 1, page 33-38
  • ISSN: 0231-9721

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Staněk, Svatoslav. "On the intersection of groups of dispersions of the equation $y^{\prime }=q(t)y$ and of its accompanying equation." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 23.1 (1984): 33-38. <http://eudml.org/doc/23427>.

@article{Staněk1984,
author = {Staněk, Svatoslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {group of dispersions; Schwarz derivative; Kummer differential; equation; second order differential equation; oscillatory differential equation; acompanying equation; conjugate points},
language = {eng},
number = {1},
pages = {33-38},
publisher = {Palacký University Olomouc},
title = {On the intersection of groups of dispersions of the equation $y^\{\prime \}=q(t)y$ and of its accompanying equation},
url = {http://eudml.org/doc/23427},
volume = {23},
year = {1984},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - On the intersection of groups of dispersions of the equation $y^{\prime }=q(t)y$ and of its accompanying equation
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1984
PB - Palacký University Olomouc
VL - 23
IS - 1
SP - 33
EP - 38
LA - eng
KW - group of dispersions; Schwarz derivative; Kummer differential; equation; second order differential equation; oscillatory differential equation; acompanying equation; conjugate points
UR - http://eudml.org/doc/23427
ER -

References

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  1. Borůvka O., Linear Differential Transformations of the Second Order, The English Univ. Pгess, London, 1971. (1971) MR0463539
  2. Бopyвкa O., Teopия глoбaльныx cвoйcтв oбыкнoвeнныx лuнeйныx диффepeнциaлъныx ypaвнeний втopoгo nopядкa, Диффepeнциaльныe ypaвнeния, Но. 8, т. 12, 1976, 1347-1383. (1976) 
  3. Boгůvka O., [unknown], Lectures at the seminar of the Institute of Mathematics of the Czechoslovak Academy of Science in Brno. 
  4. Laitoch M., Homogene lineare zu sich selbst begleitende Differentialgleichung zweiter Ordnung, Acta Univ. Palackianae Olomucensis FRN, 33, 1971, 61-72. (1971) Zbl0298.34006MR0320410
  5. Stanӗk S., On a structure of the intersection of the set of dispersions of two second-order linear differential equations, Acta Univ. Palackianae Olomucensis, FRN, т. 73, 1982, 79-85. (1982) MR0702610

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