| Title:
|
On the stability of solutions of certain systems of differential equations with piecewise constant argument (English) |
| Author:
|
Grace, S. R. |
| Author:
|
Kulenović, M. R. S. |
| Author:
|
El-Metwally, H. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
449-461 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument. (English) |
| Keyword:
|
asymptotic behavior |
| Keyword:
|
delay |
| Keyword:
|
stability |
| MSC:
|
34K20 |
| MSC:
|
34K25 |
| MSC:
|
39A10 |
| idZBL:
|
Zbl 1023.34067 |
| idMR:
|
MR1923252 |
| . |
| Date available:
|
2009-09-24T10:52:59Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127734 |
| . |
| Reference:
|
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| Reference:
|
[2] A. R. Aftabizadeh and J. Wiener: Oscillatory and periodic solutions for systems of two first order linear differential equations with piecewise constant argument.Appl. Anal. 26 (1988), 327–333. MR 0922978, 10.1080/00036818808839717 |
| Reference:
|
[3] S. Busenderg and K. L. Cooke: Models of vertically transmitted diseases with sequential-continuous dynamics.In: Nonlinear Phenomena in Mathematical Science, V. Lakshmikantham (ed.), Academic Press, New York, 1982, pp. 179–187. |
| Reference:
|
[4] K. L. Cooke and J. Wiener: Retarded differential equation 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] K. Miller: Linear Difference Equations.Benjamin, New York, 1968. Zbl 0162.40201, MR 0227644 |
| Reference:
|
[7] S. M. Shah and J. Wiener: Advanced differential equations with piecewise constant argument deviations.Internat. J. Math. Sci. 6 (1983), 671–703. MR 0729389 |
| Reference:
|
[8] J. Wiener and A. R. Aftabizadeh: Differential equations alternately of retarded and advanced type.J. Math. Anal. Appl. 129 (1988), 243–255. MR 0921390, 10.1016/0022-247X(88)90246-6 |
| Reference:
|
[9] 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 |
| . |
