Problems with one quarter

Ján Ohriska

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 2, page 349-363
  • ISSN: 0011-4642

Abstract

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In this paper two sequences of oscillation criteria for the self-adjoint second order differential equation ( r ( t ) u ' ( t ) ) ' + p ( t ) u ( t ) = 0 are derived. One of them deals with the case ∫ ∞ d t r ( t ) = ∞ , and the other with the case ∫ ∞ d t r ( t ) < ∞ .

How to cite

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Ohriska, Ján. "Problems with one quarter." Czechoslovak Mathematical Journal 55.2 (2005): 349-363. <http://eudml.org/doc/30949>.

@article{Ohriska2005,
abstract = {In this paper two sequences of oscillation criteria for the self-adjoint second order differential equation $(r(t)u^\{\prime \}(t))^\{\prime \}+p(t)u(t)=0$ are derived. One of them deals with the case $\int ^\{\infty \}\frac\{\{\mathrm \{d\}\}t\}\{r(t)\}=\infty $, and the other with the case $\int ^\{\infty \}\frac\{\{\mathrm \{d\}\}t\}\{r(t)\}<\infty $.},
author = {Ohriska, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {oscillation theory},
language = {eng},
number = {2},
pages = {349-363},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Problems with one quarter},
url = {http://eudml.org/doc/30949},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Ohriska, Ján
TI - Problems with one quarter
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 2
SP - 349
EP - 363
AB - In this paper two sequences of oscillation criteria for the self-adjoint second order differential equation $(r(t)u^{\prime }(t))^{\prime }+p(t)u(t)=0$ are derived. One of them deals with the case $\int ^{\infty }\frac{{\mathrm {d}}t}{r(t)}=\infty $, and the other with the case $\int ^{\infty }\frac{{\mathrm {d}}t}{r(t)}<\infty $.
LA - eng
KW - oscillation theory
UR - http://eudml.org/doc/30949
ER -

References

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  2. 10.1016/0022-0396(92)90027-K, J.  Differential Equations 99 (1992), 381–397. (1992) MR1184060DOI10.1016/0022-0396(92)90027-K
  3. Property  (A) of advanced functional differential equations, Math. Slovaca 45 (1995), 129–137. (1995) Zbl0840.34075MR1357069
  4. Ordinary Differential Equations, Wiley, New York, 1964. (1964) Zbl0125.32102MR0171038
  5. Oscillation of differential equations and v -derivatives, Czechoslovak Math.  J. 39(114) (1989), 24–44. (1989) Zbl0673.34044MR0983481
  6. On the oscillation of a linear differential equation of second order, Czechoslovak Math. J. 39(114) (1989), 16–23. (1989) Zbl0673.34043MR0983480
  7. Sturmian Theory for Ordinary Differential Equations, Springer-Verlag, New York, 1980. (1980) Zbl0459.34001MR0606199
  8. 10.1016/0001-8708(69)90011-5, Adv. Math. 3 (1969), 594–623. (1969) Zbl0188.40101MR0280800DOI10.1016/0001-8708(69)90011-5

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