| Title:
|
Necessary and sufficient conditions for oscillation of neutral equation (English) |
| Author:
|
Das, P. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
281-291 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
34K15 |
| MSC:
|
34K40 |
| MSC:
|
34K99 |
| idZBL:
|
Zbl 0816.34050 |
| idMR:
|
MR1281023 |
| DOI:
|
10.21136/CMJ.1994.128456 |
| . |
| Date available:
|
2009-09-24T09:38:34Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128456 |
| . |
| Reference:
|
[1] R.K. Brayton and R.A. Willoughby: On the numerical integration of a system of difference-differential equations of neutral type.J. Math. Anal. Appl. 18 (1967), 182–189. MR 0213061, 10.1016/0022-247X(67)90191-6 |
| Reference:
|
[2] M.K. Grammmatikopoulos, E.A. Gove and G. Lads: Oscillations of first-order neutral delay differential equations.J. Math. Anal. Appl. 120 (1986), 510–520. MR 0864767, 10.1016/0022-247X(86)90172-1 |
| Reference:
|
[3] M.K. Grammmatikopoulos, G. Ladas and Y.G. Sficas: Oscillation and asymptotic behavior of neutral equations with variable coefficients.Radovi Matematicki 2 (1986), 279–303. MR 0873703 |
| Reference:
|
[4] M.K. Grammmatikopoulos, Y.G. Sficas and I.P. Stavroulakis: Necessary and sufficient conditions for oscillation of neutral equations with several coefficients.J. Differential Equations 76 (1988), 294–311. MR 0969427, 10.1016/0022-0396(88)90077-0 |
| Reference:
|
[5] E.A. Grove, G. Ladas and A. Meimaridou: A necessary and sufficient condition for the oscillation of neutral equations.J. Math. Anal. Appl. 126 (1987), 341–354. MR 0900752, 10.1016/0022-247X(87)90045-X |
| Reference:
|
[6] J. Hale: Theory of Functional Differential Equations.Springer-Verlag, New York, 1977. Zbl 0352.34001, MR 0508721 |
| Reference:
|
[7] M.R.S. Kulenovic, G. Ladas and A. Meimaridou: Necessary and sufficient condition for oscillations of neutral differential equations.J. Austral. Math. Soc. (Ser. B) 28 (1987), 362–375. MR 0868764, 10.1017/S0334270000005452 |
| Reference:
|
[8] G. Ladas, Ch.G. Philos and Y.G. Sficas: Oscillations in neutral equations with periodic coefficients.Proc. Amer. Math. Soc. 113 (1991), 123–134. MR 1045596, 10.1090/S0002-9939-1991-1045596-9 |
| Reference:
|
[9] 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:
|
[10] G. Ladas, Y.G. Sficas and I.P. Stavroulakis: Necessary and sufficient conditions for oscillations.Amer. Math. Monthly 90 (1983), 637–640. MR 0719755, 10.2307/2323283 |
| Reference:
|
[11] Ch.G. Philos: Oscillations of some delay differential equations with periodic coefficients.J. Math. Anal. Appl. 162 (1991), 452–475. Zbl 0751.34038, MR 1137631, 10.1016/0022-247X(91)90161-R |
| Reference:
|
[12] Ch.G. Philos: On the oscillation of differential equations with periodic coefficients.Proc. Amer. Math. Soc. 111 (1991), 433–440. Zbl 0719.34122, MR 1037219, 10.1090/S0002-9939-1991-1037219-X |
| Reference:
|
[13] Y.G. Sficas and I.P. Stavroulakis: Necessary and sufficient conditions for oscillations of neutral differential equations.J. Math. Anal. Appl. 123 (1987), 494–507. MR 0883704, 10.1016/0022-247X(87)90326-X |
| . |
