| Title:
|
Convergence tests for one scalar differential equation with vanishing delay (English) |
| Author:
|
Baštinec, Jaromír |
| Author:
|
Diblík, Josef |
| Author:
|
Šmarda, Zdeněk |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
405-414 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K05 |
| MSC:
|
34K25 |
| idZBL:
|
Zbl 1090.34596 |
| idMR:
|
MR1822808 |
| . |
| Date available:
|
2008-06-06T22:26:48Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107753 |
| . |
| Reference:
|
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| Reference:
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2. O. Arino, and M. Pituk: Convergence in asymptotically autonomouos functional differential equations.J. Math. Anal. Appl. 237(1999), 376–392. MR 1708180 |
| Reference:
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3. F.V. Atkinson, and J.R. Haddock: Criteria for asymptotic constancy of solutions of functional differential equations.J. Math. Anal. Appl. 91(1983), 410–423. MR 0690880 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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8. J. Čermák: Note on canonical forms for functional differential equations.Math. Pann. 11(2000), 29–39. MR 1740739 |
| Reference:
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| Reference:
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10. J. Diblík: Asymptotic representation of solutions of equation $\dot{y}(t) = \beta(t)[y(t) − y(t − \tau (t))]$.J. Math. Anal. Appl. 217(1998), 200–215. |
| Reference:
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11. I. Györi, M. Pituk: Comparison theorems and asymptotic equilibrium for delay differential and difference equations.Dynamic Systems and Appl. 5(1996), 277–302. MR 1396192 |
| Reference:
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12. I. Györi, M. Pituk: L^2 -perturbation of a linear delay differential equation.J. Math. Anal. Appl. 195(1995), 415–427. MR 1354552 |
| Reference:
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| Reference:
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14. T. Krisztin: Asymptotic estimation for functional differential equations via Lyapunov functions.Colloquia Mathematica Societatis János Bolyai, 53, Qualitative theory of differential equations, Szeged, 1986, 1–12. |
| Reference:
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15. T. Krisztin: On the rate of convergence of solutions of functional differential equations.Funkcial. Ekvac. 29(1986), 1–10. Zbl 0601.34046, MR 0865210 |
| Reference:
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16. T. Krisztin: A note on the convergence of the solutions of a linear functional differential equation.J. Math. Anal. Appl. 145(1990), 17–25. Zbl 0693.45012, MR 1031171 |
| Reference:
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17. K. Murakami: Asymptotic constancy for systems of delay differential equations.Nonl. Analysis, Theory, Methods and Appl. 30(1997), 4595–4606. Zbl 0959.34058, MR 1603444 |
| Reference:
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18. S.N. Zhang: Asymptotic behaviour and structure of solutions for equation $\dot{x}(t) = p(t)[x(t) − x(t − 1)]$.J. Anhui University (Natural Science Edition) 2 (1981), 11–21. [In Chinese] |
| . |
