A note on the oscillation of second order differential equations

Hishyar Kh. Abdullah

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 4, page 949-954
  • ISSN: 0011-4642

Abstract

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We give a sufficient condition for the oscillation of linear homogeneous second order differential equation y ' ' + p ( x ) y ' + q ( x ) y = 0 , where p ( x ) , q ( x ) ∈ C [ α , ∞ ) and α is positive real number.

How to cite

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Abdullah, Hishyar Kh.. "A note on the oscillation of second order differential equations." Czechoslovak Mathematical Journal 54.4 (2004): 949-954. <http://eudml.org/doc/30913>.

@article{Abdullah2004,
abstract = {We give a sufficient condition for the oscillation of linear homogeneous second order differential equation $y^\{\prime \prime \}+p(x)y^\{\prime \}+q(x)y=0$, where $p(x), q(x)\in C[\alpha ,\infty )$ and $\alpha $ is positive real number.},
author = {Abdullah, Hishyar Kh.},
journal = {Czechoslovak Mathematical Journal},
keywords = {oscillatory; second order differential equations; oscillatory; second-order differential equations},
language = {eng},
number = {4},
pages = {949-954},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on the oscillation of second order differential equations},
url = {http://eudml.org/doc/30913},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Abdullah, Hishyar Kh.
TI - A note on the oscillation of second order differential equations
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 949
EP - 954
AB - We give a sufficient condition for the oscillation of linear homogeneous second order differential equation $y^{\prime \prime }+p(x)y^{\prime }+q(x)y=0$, where $p(x), q(x)\in C[\alpha ,\infty )$ and $\alpha $ is positive real number.
LA - eng
KW - oscillatory; second order differential equations; oscillatory; second-order differential equations
UR - http://eudml.org/doc/30913
ER -

References

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  3. Kamenev type theorems for 2nd order matrix differential systems, Proc. Amer. Math. Soc. 117 (1993), 957–962. (1993) MR1154244
  4. 10.1090/S0002-9947-1948-0027925-7, Trans. Amer. Math. Soc. 64 (1948), 234–252. (1948) Zbl0031.35402MR0027925DOI10.1090/S0002-9947-1948-0027925-7
  5. Integral criterion for oscillation of linear differential equations of second order, Zametki 23 (1978), 136-138. (1978) Zbl0408.34031MR0486798
  6. 10.1090/S0002-9939-1969-0235202-3, Proc. Amer. Math. Soc. 20 (1969), 67–72. (1969) MR0235202DOI10.1090/S0002-9939-1969-0235202-3
  7. On a conjecture for oscillation of second order ordinary differential systems, Proc. Amer. Math. Soc. 82 (1981), 592–598. (1981) Zbl0487.34030MR0614884
  8. 10.1016/0022-247X(92)90065-L, J. Math. Anal. Appl. 165 (1992), 1–11. (1992) MR1151058DOI10.1016/0022-247X(92)90065-L
  9. 10.4064/ap-21-2-175-194, Ann. Polon. Math. 21 (1969), 175–194. (1969) MR0249723DOI10.4064/ap-21-2-175-194
  10. 10.1090/S0002-9939-1984-0727249-3, Proc. Amer. Math. Soc. 90 (1984), 277–280. (1984) Zbl0542.34028MR0727249DOI10.1090/S0002-9939-1984-0727249-3

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