| Title:
|
Oscillation and nonoscillation of nonhomogeneous third order differential equations (English) |
| Author:
|
Parhi, N. |
| Author:
|
Das, P. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
443-459 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0823.34038 |
| idMR:
|
MR1288164 |
| DOI:
|
10.21136/CMJ.1994.128483 |
| . |
| Date available:
|
2009-09-24T09:40:31Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128483 |
| . |
| Reference:
|
[1] L. Erbe: Existence of oscillatory solutions and asymptotic behaviour for a class of third order linear differential equations.Pacific J. Math. 64 (1976), 369–385. MR 0435508, 10.2140/pjm.1976.64.369 |
| Reference:
|
[2] M. Gregus: Third Order Differential Equations.D. Reidel Pub. Co., Boston, Tokyo, 1987. MR 0882545 |
| Reference:
|
[3] M. Hanan: Oscillation criteria for third order linear differential equations.Pacific J. Math. 11 (1961), 919–944. Zbl 0104.30901, MR 0145160, 10.2140/pjm.1961.11.919 |
| Reference:
|
[4] G.D. Jones: Oscillation criteria for third order differential equations.SIAM J. Math. Anal. 7 (1976), 13–15. Zbl 0342.34019, MR 0393656, 10.1137/0507002 |
| Reference:
|
[5] G. D. Jones: An asymptotic property of solutions of $y^{\prime \prime \prime } + py^{\prime } + qy = 0$.Pacific J. Math. 48 (1973), 135–138. Zbl 0264.34040, MR 0326065 |
| Reference:
|
[6] G.D. Jones: Oscillation properties of third order differential equations.Rocky Mountain J. Math. 3 (1973), 507–513. Zbl 0267.34033, MR 0355193, 10.1216/RMJ-1973-3-3-507 |
| Reference:
|
[7] G.D. Jones: Oscillation properties of $y^{\prime \prime } + p(x)y = f(x)$.Accademia 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 $y^{\prime \prime \prime } + p(x) y^{\prime } +q(x) y = 0$.Pacific J. Math. 17 (1966), 435–466. MR 0193332 |
| Reference:
|
[10] W. Leighton and 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:
|
[11] N. Parhi and P. Das: On asymptotic property of solutions of a class of third order differential equations.Proc. Amer. Math. Soc. 110 (1990), 387–393. MR 1019279, 10.1090/S0002-9939-1990-1019279-4 |
| Reference:
|
[12] N. Parhi and P. Das: On zeros of solutions of nonhomogeneous third order differential equations.Czech. Math. J. 41 (1991), 641–652. MR 1134954 |
| Reference:
|
[13] N. Parhi and P. Das: On asymptotic property of solutions of linear homogeneous third order differential equations.Boll. Un. Mat. Ital. (to appear). MR 1255647 |
| Reference:
|
[14] N. Parhi and S.K. Nayak: Nonoscillation of second order nonhomogeneous differential equations.J. Math. Anal. Appl. 102 (1984), 62–74. MR 0751342, 10.1016/0022-247X(84)90202-6 |
| Reference:
|
[15] N. Parhi and S. Parhi: Oscillation and nonoscillation theorems for nonhomogeneous third order differential equations.The Bulletin of the Institute of Mathematics, Academia Sinica 11 (1983), 125–139. MR 0723021 |
| Reference:
|
[16] N. Parhi and S. Parhi: Nonoscillation and asymptotic behaviour for forced nonlinear third order differential equations.The Bull. of the Institute of Mathematics. Academia Sinica 13 (1985), 367–384. MR 0866573 |
| Reference:
|
[17] N. Parhi and S. Parhi: On the behaviour of solutions of the differential equation $(r(t)y^{\prime \prime })^{\prime } + q(t)(y^{\prime })^\beta + p(t) y^\alpha = f(t)$.Annales Polonici Mathematici 47 (1986), 137–148. MR 0884931 |
| Reference:
|
[18] A. Skidmore and W. Leighton: On the differential equation $y^{\prime \prime }+p(x)y=f(x)$.J. Math. Anal. Appl. 43 (1973), 46–55. MR 0315213 |
| Reference:
|
[19] R.E. Sitter and S.C. Tefteller: Oscillation of a fourth order nonhomogeneous differential equation.J. Math. Anal. Appl. 59 (1977), 93–104. MR 0442370, 10.1016/0022-247X(77)90094-4 |
| Reference:
|
[20] S.C. Tefteller: Oscillation of second order nonhomogeneous linear differential equation.SIAM J. Appl. Math. 31 (1976), 461–467. MR 0450681, 10.1137/0131039 |
| . |
