| Title:
|
On the terminal value problem for differential equations with deviating arguments (English) |
| Author:
|
Staikos, V. A. |
| Author:
|
Tsamatos, P. Ch. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
21 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
43-49 |
| . |
| Category:
|
math |
| . |
| Keyword:
|
differential equations with deviating arguments; terminal value problem; existence and uniqueness of solutions; asymptotic behavior of solutions |
| MSC:
|
34A12 |
| MSC:
|
34K05 |
| idZBL:
|
Zbl 0586.34056 |
| idMR:
|
MR818306 |
| . |
| Date available:
|
2008-06-06T06:14:23Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107214 |
| . |
| Reference:
|
[1] C Avramescu: Sur l'existence des solutions convergentes des systèmes d'équations différentielles non linéaires.Ann. Mat. Pura Appl., 81 (1969), 147-167. Zbl 0196.10701, MR 0249738 |
| Reference:
|
[2] T. G. Hallam: A comparison principle for terminal value problems in ordinary differential equations.Trans. Amer. Math. Soc., 169 (1972), 49-57. Zbl 0257.34012, MR 0306611 |
| Reference:
|
[3] T. G. Hallam G. Ladas, V. Lakshmikantham: On the asymptotic behavior of functional differential equations.SIAM J. Math. Anal., 3 (1972), 58-64. MR 0315247 |
| Reference:
|
[4] J. Kurzweil: On solutions of nonautonomous linear delayed differential equations, which are defined and exponentially bounded for $t \to - \infty$.Časopis Pěst. Mat., 96 (1971), 229-238. Zbl 0218.34065, MR 0298164 |
| Reference:
|
[5] G. Ladas, V. Lakshmikantham: Global existence and asymptotic equilibrium in Banach spaces.J. Indian Math. Soc., 36 (1972), 33-40. Zbl 0273.34040, MR 0318622 |
| Reference:
|
[6] G. Ladas, V. Lakshmikantham: Asymptotic equilibrium of ordinary differential systems.Applicable Anal., 5 (1975), 33-39. Zbl 0344.34036, MR 0508580 |
| Reference:
|
[7] E.-B. Lim: Asymptotic behavior of solutions of the functional differential equation $x' = A x(\lambda t) + B x(t)$, $\lambda > 0$.J. Math. Anal. Appl., 55 (1978), 794-806. MR 0447749 |
| Reference:
|
[8] A. R. Mitchell, R. W. Mitchell: Asymptotic equilibrium of ordinary differential systems in a Banach space.Math. Systems Theory, 9 (1976), 308-314. Zbl 0334.34052, MR 0463603 |
| Reference:
|
[9] L. Pandolfi: Some Observations on the Asymptotic Behavior of the Solutions of the Equation $\dot{x} = A(t)x(\lambda t) + B(t)x(t)$, $\lambda > 0$.J. Math. Anal. Appl., 67 (1979), 483-489. MR 0528702 |
| Reference:
|
[10] V. A. Staikos: Differential Equations with Deviating Arguments-Oscillation Theory.(unpublished manuscripts). |
| Reference:
|
[11] V. A. Staikos: Asymptotic behavior and oscillation of the bounded solutions of differential equations with deviating arguments.(in Russian), Ukrain. Mat. Ž., 31 (1979), 705 - 716. MR 0567287 |
| . |
