| Title:
|
Necessary and sufficient conditions for the nonoscillation of a first order neutral equation with several delays (English) |
| Author:
|
Rath, R. N. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
75-89 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K11 |
| MSC:
|
34K25 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 1057.34081 |
| idMR:
|
MR1964206 |
| . |
| Date available:
|
2009-09-25T14:12:43Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133303 |
| . |
| Reference:
|
[1] DAS P. : Oscillation and asymptotic behaviour of solutions for second order neutral delay differential equation.J. Indian Math. Soc. (N.S.) 60 (1994), 159-170. MR 1292134 |
| Reference:
|
[2] DAS P.-MISRA N.: A necessary and sufficient condition for the solution of a functional differential equation to be oscillatory or tend to zero.J. Math. Anal. Appl. 204 (1997), 78-87. MR 1426981 |
| Reference:
|
[3] DETANG, ZHOU: Oscillation of neutral functional differential equations.Acta Math. Scientia 12 (1992), 42-50. |
| Reference:
|
[4] ERBE L. H.-KAIKONG, QING: Oscillation and nonoscillation properties of neutral differential equations.Canad. J. Math. 46 (1994), 284-297. MR 1271215 |
| Reference:
|
[5] GYORI I.-LADAS G.: Oscillation Theory of Delay-Differential Equations with Applications.Clarendon, Oxford, 1991. MR 1168471 |
| Reference:
|
[6] KULENOVIC M. R. S.-LADAS G.-MEIMARIDOU A.: Necessary and sujficient condition for oscillation of neutral differential equations.J. Austral. Math. Soc. Ser. B 28 (1987), 362-375. MR 0868764 |
| Reference:
|
[7] LADAS G.-SFICAS Y. G.-STAVROULAKIS I. P.: Necessary and sufficient condition for oscillation of higher order delay differential equations.Trans. Amer. Math. Soc. 285 (1984), 81-90. MR 0748831 |
| Reference:
|
[8] LIU X. Z.-YU J. S.-ZHANG B. G.: Oscillation and nonoscillation for a class of neutral differential equations.Differential Equations Dynam. Systems 1 (1993), 197-204. Zbl 0873.34056, MR 1258897 |
| Reference:
|
[9] LU, WUDU: Nonoscillation and oscillation of first order neutral equations with variable coefficients.J. Math. Anal. Appl. 181 (1994), 803-815. Zbl 0809.34083, MR 1264547 |
| Reference:
|
[10] OLAH R.: Oscillation of differential equation of neutral type.Hiroshima Math. J. 25 (1995), 1-10. Zbl 0831.34076, MR 1322598 |
| Reference:
|
[11] PARHI N.-MOHANTY P. K.: Maintenance of oscillation of neutral differential equations under the effect of a forcing term.Indian J. Pure Appl. Math. 26 (1995), 909-919. Zbl 0838.34082, MR 1347539 |
| Reference:
|
[12] PARHI N.-MOHANTY P. K.: Oscillatory behaviour of solutions of forced neutral differential equations.Ann. Polon. Math. 65 (1996), 1-10. Zbl 0874.34063, MR 1414747 |
| Reference:
|
[13] PARHI N.-RATH R. N.: On oscillation criteria for a forced neutral differential equation., Bull. Inst. Math. Acad. Sinica 28 (2000), 59-70. Zbl 0961.34059, MR 1750329 |
| Reference:
|
[14] PARHI N.-RATH R. N.: Oscillation criteria for forced first order neutral differential equations with variable coefficients.J. Math. Anal. Appl. 256 (2001), 525-541. Zbl 0982.34057, MR 1821755 |
| Reference:
|
[15] PARHI N.-RATH R. N.: On oscillation and asymptotic behaviour of solutions of forced first order neutral differential equations.Proc. Indian Acad. Sci. Math. Sci. Ill (2001), 337-350. Zbl 0995.34058, MR 1851095 |
| Reference:
|
[16] PARHI N.-RATH R. N.: On oscillation of forced non-linear neutral differential equations of higher order.Czechoslovak Math. J. (To appear). MR 2018832 |
| . |
