| Title:
|
Problems with one quarter (English) |
| Author:
|
Ohriska, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
349-363 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $. (English) |
| Keyword:
|
oscillation theory |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 1081.34033 |
| idMR:
|
MR2137142 |
| . |
| Date available:
|
2009-09-24T11:23:26Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127982 |
| . |
| Reference:
|
[1] J. H. Barrett: Oscillation theory of ordinary linear differential equations.Adv. Math. 3 (1969), 415–509. Zbl 0213.10801, MR 0257462, 10.1016/0001-8708(69)90008-5 |
| Reference:
|
[2] M. Cecchi, M. Marini and G. Villari: Integral criteria for a classification of solutions of linear differential equations.J. Differential Equations 99 (1992), 381–397. MR 1184060, 10.1016/0022-0396(92)90027-K |
| Reference:
|
[3] J. Dzurina: Property (A) of advanced functional differential equations.Math. Slovaca 45 (1995), 129–137. Zbl 0840.34075, MR 1357069 |
| Reference:
|
[4] P. Hartman: Ordinary Differential Equations.Wiley, New York, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[5] J. Ohriska: Oscillation of differential equations and $v$-derivatives.Czechoslovak Math. J. 39(114) (1989), 24–44. Zbl 0673.34044, MR 0983481 |
| Reference:
|
[6] J. Ohriska: On the oscillation of a linear differential equation of second order.Czechoslovak Math. J. 39(114) (1989), 16–23. Zbl 0673.34043, MR 0983480 |
| Reference:
|
[7] W. T. Reid: Sturmian Theory for Ordinary Differential Equations.Springer-Verlag, New York, 1980. Zbl 0459.34001, MR 0606199 |
| Reference:
|
[8] D. Willett: Classification of second order linear differential equations with respect to oscillation.Adv. Math. 3 (1969), 594–623. Zbl 0188.40101, MR 0280800, 10.1016/0001-8708(69)90011-5 |
| . |
