| Title:
|
On oscillation and asymptotic property of a class of third order differential equations (English) |
| Author:
|
Parhi, N. |
| Author:
|
Pardi, Seshadev |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
21-33 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, oscillation and asymptotic behaviour of solutions of \[ y^{\prime \prime \prime } + a(t)y^{\prime \prime }+b(t)y^{\prime } + c(t)y=0 \] have been studied under suitable assumptions on the coefficient functions $a,b,c\in C([\sigma ,\infty ),R)$, $ \sigma \in R$, such that $a(t)\ge 0$, $b(t) \le 0$ and $c(t) < 0$. (English) |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0955.34023 |
| idMR:
|
MR1676698 |
| . |
| Date available:
|
2009-09-24T10:19:25Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127463 |
| . |
| Reference:
|
[1] S. Ahmad, A.C. Lazer: On the oscillatory behaviour of a class of linear third order differential equations.J. Math. Anal. Appl. 28 (1970), 681–689, MR 40 # 1646. MR 0248394 |
| Reference:
|
[2] M. Gera: On the behaviour of solutions of the differential equation $x^{\prime \prime \prime }+a(t) x^{\prime \prime }+b(t) x^{\prime }+c(t) x =0$.Habilitation Thesis, Faculty of Mathematics and Physics, Comenius University, Bratislava. (Slovak) |
| Reference:
|
[3] M. Greguš: Third Order Linear Differential Equations.D. Reidel Pub. Co., Boston, 1987. MR 0882545 |
| Reference:
|
[4] M. Hanan: Oscillation criteria for third-order linear differential equations.Pacific J. Math. 11 (1961), 919–944, MR 26 # 2695. Zbl 0104.30901, MR 0145160 |
| Reference:
|
[5] G.D. Jones: Properties of solutions of a class of third order differential equations.J. Math. Anal. Appl. 48 (1974), 165–169. Zbl 0289.34046, MR 0352608, 10.1016/0022-247X(74)90224-8 |
| Reference:
|
[6] N. Parhi, S. Parhi: Qualitative behaviour of solutions of forced nonlinear third order differential equations.Rivista di Matematica della Universita di Parma 13 (1987), 201–210. MR 0977675 |
| Reference:
|
[7] N. Parhi, P. Das: On asymptotic property of solutions of linear homogeneous third order differential equations.Bollettino U.M.I 7-B (1993), 775–786. MR 1255647 |
| Reference:
|
[8] N. Parhi, P. Das: On the oscillation of a class of linear homogeneous third order differential equations.To appear in Archivum Mathematicum. MR 1679638 |
| . |
