| Title:
|
Some results concerning second and third order neutral delay differential equations with piecewise constant argument (English) |
| Author:
|
Papaschinopoulos, Garyfalos |
| Author:
|
Schinas, John |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
501-512 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
34K15 |
| MSC:
|
34K20 |
| MSC:
|
34K40 |
| MSC:
|
34K99 |
| idZBL:
|
Zbl 0817.34041 |
| idMR:
|
MR1288167 |
| DOI:
|
10.21136/CMJ.1994.128472 |
| . |
| Date available:
|
2009-09-24T09:40:55Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128472 |
| . |
| Reference:
|
[1] A.R. Aftabizadeh, J. Wiener and J.M. Xu: Oscillatory and periodic solutions of delay differential equations with piecewise constant argument.Proc. Amer. Math. Soc. 99 (1987), 673–679. MR 0877038, 10.1090/S0002-9939-1987-0877038-7 |
| Reference:
|
[2] S. Busenberg and K. L. Cooke: Models of vertically transmitted diseases with sequential-continuous dynamics.Nonlinear Phenomena in Mathematical Sciences, V. Lakshmikantham (ed.), Academic Press, New York, 1982, pp. 179–187. |
| Reference:
|
[3] Q. Chuanxi, S.A. Kuruklis and G. Ladas: Oscillations of linear autonomous systems of difference equations.Appl. Anal. 36 (1990), 51–63. MR 1040878, 10.1080/00036819008839921 |
| Reference:
|
[4] K.L. Cooke and J. Wiener: Retarded differential equations with piecewise constant delays.J. Math. Anal. Appl. 99 (1984), 265–297. MR 0732717, 10.1016/0022-247X(84)90248-8 |
| Reference:
|
[5] K.L. Cooke and J. Wiener: An equation alternately of retarded and advanced type.Proc. Amer. Math. Soc. 99 (1987), 726–732. MR 0877047, 10.1090/S0002-9939-1987-0877047-8 |
| Reference:
|
[6] Y.K. Huang: Oscillations and asymptotic stability of solutions of first order neutral differential equations with piecewise constant argument.J. Math. Anal. Appl. 149 (1990), 70–85. Zbl 0704.34078, MR 1054794, 10.1016/0022-247X(90)90286-O |
| Reference:
|
[7] G. Ladas, E.C. Partheniadis and J. Schinas: Existence theorems for second order differential equations with piecewise constant argument.Differential Equations, Proceedings of the 1987 Equadiff Conference, Dekker, New York, 1989, pp. 389–395. MR 1021739 |
| Reference:
|
[8] G. Ladas, E.C. Partheniadis and J. Schinas: Oscillation and stability of second order differential equations with piecewise constant argument.Rad. Mat. 5 (1989), no. 1, 171–178. MR 1012733 |
| Reference:
|
[9] G. Papaschinopoulos: On a class of third order neutral delay differential equations with piecewise constant argument.Internat J. Math. Math. Sci. 17 (1994), no. 1, 121–126. Zbl 0796.34046, MR 1255230, 10.1155/S0161171294000153 |
| Reference:
|
[10] G. Papaschinopoulos and J. Schinas: Existence, stability and oscillation of the solutions of first order neutral delay differential equations with piecewise constant argument.Appl. Anal. 44 (1992), 99–111. MR 1284772, 10.1080/00036819208840070 |
| Reference:
|
[11] E.C. Partheniadis: Stability and oscillation of neutral delay differential equations with piecewise constant argument.Differential Integral Equations 1 (1988), no. 4, 459–472. Zbl 0723.34059, MR 0945821 |
| Reference:
|
[12] J. Wiener and K.L. Cooke: Oscillations in systems of differential equations with piecewise constant argument.J. Math. Anal. Appl. 137 (1989), 221–239. MR 0981935, 10.1016/0022-247X(89)90286-2 |
| . |
