Conjugacy and disconjugacy criteria for second order linear ordinary differential equations

T. Chantladze; Alexander Lomtatidze; Douglas Ugulava

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 4, page 313-323
  • ISSN: 0044-8753

Abstract

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Conjugacy and disconjugacy criteria are established for the equation u ' ' + p ( t ) u = 0 , where p : ] - ∞ , + ∞ [ → ] - ∞ , + ∞ [ is a locally summable function.

How to cite

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Chantladze, T., Lomtatidze, Alexander, and Ugulava, Douglas. "Conjugacy and disconjugacy criteria for second order linear ordinary differential equations." Archivum Mathematicum 036.4 (2000): 313-323. <http://eudml.org/doc/248560>.

@article{Chantladze2000,
abstract = {Conjugacy and disconjugacy criteria are established for the equation \[ u^\{\prime \prime \}+p(t)u=0\,, \] where $p:]-\infty ,+\infty [\rightarrow ]-\infty ,+\infty [$ is a locally summable function.},
author = {Chantladze, T., Lomtatidze, Alexander, Ugulava, Douglas},
journal = {Archivum Mathematicum},
keywords = {second order equation; conjugacy criteria; disconjugacy criteria; second-order equation; conjugacy criteria; disconjugacy criteria},
language = {eng},
number = {4},
pages = {313-323},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Conjugacy and disconjugacy criteria for second order linear ordinary differential equations},
url = {http://eudml.org/doc/248560},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Chantladze, T.
AU - Lomtatidze, Alexander
AU - Ugulava, Douglas
TI - Conjugacy and disconjugacy criteria for second order linear ordinary differential equations
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 4
SP - 313
EP - 323
AB - Conjugacy and disconjugacy criteria are established for the equation \[ u^{\prime \prime }+p(t)u=0\,, \] where $p:]-\infty ,+\infty [\rightarrow ]-\infty ,+\infty [$ is a locally summable function.
LA - eng
KW - second order equation; conjugacy criteria; disconjugacy criteria; second-order equation; conjugacy criteria; disconjugacy criteria
UR - http://eudml.org/doc/248560
ER -

References

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  9. Mingarelli A. B., On the existence of conjugate points for the second order ordinary differential equation, SIAM J. Math. Anal., vol. 17 (1986), No. 1, 1–6. (1986) MR0819206
  10. Müller–Pfeiffer E., Existence of conjugate points for second and fourth order differential equations, Proc. Roy. Soc. Edinburgh, Sect. A, vol. 89 (1981), 281–291. (1981) MR0635764
  11. Müller–Pfeiffer E., Nodal domains of one–or–two–dimensional elliptic differential equations, Z. Anal. Anwendungen, vol. 7 (1988), 135–139. (1988) MR0951346
  12. Peña S., Conjugacy criteria for half–linear differential equations, Arch. Math., vol. 35 (1999), No. 1, 1–11. (1999) MR1684518
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