| Title:
|
On the zeros of solutions of nonhomogeneous third order differential equations (English) |
| Author:
|
Parhi, N. |
| Author:
|
Das, P. C. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
641-652 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0758.34022 |
| idMR:
|
MR1134954 |
| DOI:
|
10.21136/CMJ.1991.102496 |
| . |
| Date available:
|
2008-06-09T15:42:11Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102496 |
| . |
| Reference:
|
[1] L. Erbe: Existence of oscillatory solutions and asymptotic behavior for a class of third order linear differential equations.Pacific J. Math. 64 (1976), 369-385. Zbl 0339.34030, MR 0435508, 10.2140/pjm.1976.64.369 |
| Reference:
|
[2] M. Gera: Some oscillation conditions for a linear third order differential equations.Soviet Math. Dokl. 36 (2) (1988), 277-280. MR 0912360 |
| Reference:
|
[3] M. Greguš: Third Order Linear Differential Equations.D. Reidel Pub. Co. Boston, Tokyo, 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, 10.2140/pjm.1961.11.919 |
| Reference:
|
[5] G. Jayaraman N. Padmanabhan, R. Mehrotra: Entry flow into a circular tube of slowly varying cross-section.Fluid Dynamics Research 1 (1986), 131-144. The Japan Society of Fluid Mechanics. 10.1016/0169-5983(86)90013-4 |
| Reference:
|
[6] Gary D. Jones: Oscillation criteria for third order differential equations.SIAM J. Math. Anal. 7 (1976), 13-15. MR 0393656, 10.1137/0507002 |
| Reference:
|
[7] Gary D. Jones: Oscillation properties of $y" + p(x) y = f(x)$.Academia Nazionale Del Lincei. 57 (1974), 337-341. MR 0407375 |
| Reference:
|
[8] M. S. Keener: On the solutions of certain linear nonhomogeneous second-order differential equations.Applicable Analysis 1 (1971), 57-63. Zbl 0215.43802, MR 0281997, 10.1080/00036817108839006 |
| Reference:
|
[9] A. C. Lazer: The behaviour of solutions of the differential equation $y'" + p(x) y' + q(x) y = = 0$.Pacific J. Math. 17 (1966), 435-466. MR 33 # 1552. MR 0193332, 10.2140/pjm.1966.17.435 |
| Reference:
|
[10] Zeev Nehari: Oscillation criteria for second-order linear differential equations.Trans. Amer. Math. Soc. 85 (1957), 428-444. MR 0087816, 10.1090/S0002-9947-1957-0087816-8 |
| Reference:
|
[11] W. Leighton, Z. Nehari: On the oscillation of solutions of self-adjoint linear differential equations of the fourth order.Trans. Amer. Math. Soc. 89 (1958), 325-377. MR 0102639, 10.1090/S0002-9947-1958-0102639-X |
| Reference:
|
[12] N. Parhi, P. Das: On nonoscillation of third order differential equations.Communicated. Zbl 0815.34022 |
| Reference:
|
[13] R. E. Sitter, S. C. Tefteller: Oscillation of a fourth order nonhomogeneous differential equation.J. Math. Anal. Appl. 59 (1977), 93-104. Zbl 0358.34029, MR 0442370, 10.1016/0022-247X(77)90094-4 |
| Reference:
|
[14] A. Skidmore, W. Leighton: On the differential equation $у" + p(x)y = f(x)$.J. Math. Anal. Appl. 43 (1973), 46-55. MR 0315213 |
| Reference:
|
[15] C. A. Swanson: Comparison and Oscillation Theory of Linear Differential Equations.Academic Press, New York and London, 1968. Zbl 0191.09904, MR 0463570 |
| . |
