| Title:
|
Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation (English) |
| Author:
|
Rath, Radhanath N. |
| Author:
|
Misra, Niyati |
| Author:
|
Padhy, Laxmi N. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
57 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
[157]-170 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K11 |
| MSC:
|
34K25 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 1150.34026 |
| idMR:
|
MR2357814 |
| . |
| Date available:
|
2009-09-25T14:37:14Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136944 |
| . |
| Reference:
|
[1] DAS P.: Oscillations and asymptotic behaviour of solutions for second order neutral delay differential equations.J. Indian Math. Soc. (N.S.) 60 (1994), 159-170. Zbl 0886.34066, MR 1292134 |
| Reference:
|
[2] DAS P.: On the behaviour of the solutions of $(r(t)x')' + p(t)G(x(g(t))) = f(t)$.J. Math. Anal. Appl. 187 (1994), 752-768. MR 1298819 |
| Reference:
|
[3] 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:
|
[4] DRIVER R. D.: Ordinary and Delay Differential Equations.Springer Verlag, New York, 1976. MR 0477368 |
| Reference:
|
[5] GRAMMATIKOPOULOS M. K-LADAS G.-MEIMARIDOU A.: Oscillation and asymptotic behaviour of second order neutral differential equations.Ann. Mat. Pura Appl. (4) 148 (1987), 29-40. MR 0932756 |
| Reference:
|
[6] GYORI I.-LADAS G.: Oscillation Theory of Delay Differential Equations with Applications.Clarendon Press, Oxford, 1991. MR 1168471 |
| Reference:
|
[7] HALE J. K.: Theory of Functional Differential Equations.Springer Verlag, New York, 1977. Zbl 0352.34001, MR 0508721 |
| Reference:
|
[8] LALLI B. S.: Oscillation of nonlinear second order neutral delay differential equations.Bull. Inst. Math. Acad. Sinica 18 (1990), 233-238. MR 1083414 |
| Reference:
|
[9] PARHI N.-MOHANTY P. K.: On oscillatory forced neutral differential equations of second order.J. Indian. Math. Soc. (N.S.) 61 (1995), 241-254. Zbl 0870.34077, MR 1457941 |
| Reference:
|
[10] PARHI N.-MOHANTY P. K.: Oscillation of solutions of forced neutral differential equations of n-th order.Czechoslovak Math. J. 45 (1995), 413-433. Zbl 0842.34076, MR 1344507 |
| Reference:
|
[11] 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:
|
[12] PARHI N.-RATH R. N.: On oscillation of solutions of forced nonlinear neutral diffential equations of higher order II.Ann. Polon. Math. 81 (2003), 101-110. MR 1976190 |
| Reference:
|
[13] 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. 111, 2001 337-350. Zbl 0995.34058, MR 1851095 |
| Reference:
|
[14] RATH R. N.: Necessary and sufficient conditions for the oscillatory behaviour of solutions of a first order neutral equation with several delays.Math. Slovaca 53 (2003), 78-89. MR 1964206 |
| Reference:
|
[15] ROYDEN H. L.: Real Analysis.(3rd ed.) MacMillan Publ. Co., New York, 1989. MR 1013117 |
| . |
