On the position of nodes of associated equations to the differential equation y ' - q ( t ) y = r ( t )

Miloslav Fialka

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

  • Volume: 30, Issue: 1, page 107-119
  • ISSN: 0231-9721

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Fialka, Miloslav. "On the position of nodes of associated equations to the differential equation $y^{\prime }-q(t)y=r(t)$." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 30.1 (1991): 107-119. <http://eudml.org/doc/23529>.

@article{Fialka1991,
author = {Fialka, Miloslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {-th central dispersion of the 1st kind; node system; separating of nodes on a curve; associated equations; nonhomogeneous linear second order differential equation},
language = {eng},
number = {1},
pages = {107-119},
publisher = {Palacký University Olomouc},
title = {On the position of nodes of associated equations to the differential equation $y^\{\prime \}-q(t)y=r(t)$},
url = {http://eudml.org/doc/23529},
volume = {30},
year = {1991},
}

TY - JOUR
AU - Fialka, Miloslav
TI - On the position of nodes of associated equations to the differential equation $y^{\prime }-q(t)y=r(t)$
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1991
PB - Palacký University Olomouc
VL - 30
IS - 1
SP - 107
EP - 119
LA - eng
KW - -th central dispersion of the 1st kind; node system; separating of nodes on a curve; associated equations; nonhomogeneous linear second order differential equation
UR - http://eudml.org/doc/23529
ER -

References

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  1. Borůvka O., Linear Differential Transformations of the Second Order, The English Univ. Press, London 1971. (1971) MR0463539
  2. Fialka M., On identity of the differential equation y" - q(t)y = r(t) with its associated equation, Acta Univ. Palackianae Olomucensis, FRN 91 (1988), (to appeaг). (1988) 
  3. Hošek J., Über einige Eigenschaften der Separation der Nullstellen von Lösungen der Gleichung y" = Q(t)y und der sie begleitenden Gleichungen, Acta Univ. Palackianae Olomucensis, FRN 61 (1979), 43-50. (1979) MR0589846
  4. Laitoch M., L’équation associée dans la théorie des transformations des équations différentielles du second ordre, Acta Univ. Palackianae Olomucensis, FRN 12 (1963), 45-62. (1963) Zbl0256.34005MR0276527
  5. Laitoch M., A Modification of the Sturm’s theorem on separating zeros of solutions of a linear differential equation of the 2nd order, Acta Univ. Palackianae Olomucensis, FRN 57 (1978), 27-33. (1978) Zbl0429.34011MR0554033
  6. Palát J., Priloženie teoremy Šturma, Acta Univ.Palackianae Olomucensis, FRN 69 (1981), 77-83. (1981) 
  7. Pavlíková E., A remark on the differential eqution of the second order y´´ + q(x)y = r(x), Čas. pěst. mat. 109 (1984), 86-92. (1984) MR0741211
  8. Stěpanov V.V., A Course of Differential Equations, (in Czech). Příгodov. nakl., Praha 1952. (1952) 

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