| Title:
|
Oscillation of solutions of forced neutral differential equations of $n$-th order (English) |
| Author:
|
Parhi, N. |
| Author:
|
Mohanty, P. K. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
413-433 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
34K11 |
| MSC:
|
34K15 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 0842.34076 |
| idMR:
|
MR1344507 |
| DOI:
|
10.21136/CMJ.1995.128541 |
| . |
| Date available:
|
2009-09-24T09:48:43Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128541 |
| . |
| Reference:
|
[1] J.R. Graef, M.K. Grammatikopoulos and P.W. Spikes: Asymptotic and oscillatory behaviour of solutions of first order nonlinear neutral delay differential equations.J. Math. Anal. Appl. 155 (1991), 562–571. MR 1097300, 10.1016/0022-247X(91)90019-V |
| Reference:
|
[2] J.R. Graef, M.K. Grammatikopoulos and P.W. Spikes: On the asymptotic behaviour of solutions of a second order non-linear neutral delay differential equations.J. Math. Anal. Appl. 156 (1991), 23–29. MR 1102594, 10.1016/0022-247X(91)90379-E |
| Reference:
|
[3] M.K. Grammatiokopoulos, G. Ladas and Y.G. Sficas: Oscillation and asymptotic behaviour of neutral equations with variable coefficients.Rad. Mat. 2 (1986), 279–303. MR 0873703 |
| Reference:
|
[4] M.K. Grammatiokopoulos, G. Ladas and A. Meimaridou: Oscillation and asymptotic behaviour of higher order neutral equations with variable coefficients.Chin. Ann. of Math. 9B 3 (1988), 322–338. MR 0968469 |
| Reference:
|
[5] E.A. Grove, M. R.S. Kulenovic and G. Ladas: Sufficient conditions for oscillation and nonoscillation of neutral equations.J. Differential Equations 68 (1987), 373–382. MR 0891334, 10.1016/0022-0396(87)90176-8 |
| Reference:
|
[6] J. Jaros and T. Kusano: On a class of first order nonlinear functional differential equations of neutral type.Czech. Math. J. 40 (1990), 475–490. MR 1065028 |
| Reference:
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[7] J. Jaros and T. Kusano: Oscillation properties of first order nonlinear functional differential equations of neutral type.Differential and Integral Equations 4 (1991), 425–436. MR 1081192 |
| Reference:
|
[8] Y. Kitamura and T. Kusano: Oscillation and asymptotic behaviour of solutions of first order functional differential equations of neutral type.Funkcial. Ekvac. 33 (1990), 325–343. MR 1078135 |
| Reference:
|
[9] I.T. Kiguradze: On the oscillation of solutions of the equation $(^mu/t^m) + a(t)|u|^n\*u = 0$.Mat. Sb. 65 (1964), 172–187. (Russian) Zbl 0135.14302, MR 0173060 |
| Reference:
|
[10] T. Kusano and H. Onose: Oscillation theorems for delay equations of arbitrary order.Hiroshima Math. J. 2 (1972), 263–270. MR 0324176, 10.32917/hmj/1206137619 |
| Reference:
|
[11] T. Kusano and H. Onose: Oscillations of functional differential equations with retarded argument.J. Differential Equations 15 (1974), 269–277. MR 0333398, 10.1016/0022-0396(74)90079-5 |
| Reference:
|
[12] G. Ladas and Y.G. Sficas: Oscillations of neutral delay differential equations.Canad. Math. Bull. 29 (1986), 438–445. MR 0860851, 10.4153/CMB-1986-069-2 |
| Reference:
|
[13] G. Ladas and Y.G. Sficas: Oscillations of higher order neutral equations.J. Austral. Math. Soc. Ser. B 27 (1986), 502–511. MR 0836222, 10.1017/S0334270000005105 |
| Reference:
|
[14] Y. Noito: Nonoscillatory solutions of neutral differential equations.Hiroshima Math. J. 20 (1990), 231–258. 10.32917/hmj/1206129177 |
| Reference:
|
[15] Y. Noito: Asymptotic behaviour of decaying nonoscillatory solutions of neutral differential equations.Funkcial Ekvac. 35 (1992), 95–110. MR 1172423 |
| Reference:
|
[16] N. Parhi and P.K. Mohanty: Oscillation and asymptotic behaviour of solutions of forced neutral differential equations.. |
| Reference:
|
[17] H.L. Royden: Real Analysis.MacMillan Publishing Company, New York, 1989. MR 0151555 |
| Reference:
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[18] P.X. Weng: Oscillation of second order nonlinear functional differential equation.Ann. of Diff. Eqs. 7 (1991), 306–315. MR 1139339 |
| Reference:
|
[19] L. Wudu: Existence of nonoscillatory solutions of first order nonlinear neutral equations.J. Austral Math. Soc. Ser. B 32 (1990), 180–192. Zbl 0723.34069, MR 1070006, 10.1017/S0334270000008419 |
| Reference:
|
[20] L. Wudu: Oscillations of high order neutral differential equations with oscillating coefficient.Acta. Math. Appl. Sinica 7 (1991), 135–142. MR 1105386, 10.1007/BF02006099 |
| . |
