| Title:
|
The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation (English) |
| Author:
|
Neustupa, Jiří |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
26 |
| Issue:
|
3 |
| Year:
|
1976 |
| Pages:
|
388-410 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B10 |
| MSC:
|
35B35 |
| MSC:
|
35L05 |
| idZBL:
|
Zbl 0346.35012 |
| idMR:
|
MR0435565 |
| DOI:
|
10.21136/CMJ.1976.101415 |
| . |
| Date available:
|
2008-06-09T14:19:31Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101415 |
| . |
| Reference:
|
[1] J. Havlová: Periodic solutions of a nonlinear telegraph equation.Čas. pro pěst. matematiky, 90 (1965), pp. 273-289. MR 0192180 |
| Reference:
|
[2] A. N. Filatov: Averaging methods in differential and integro-differential equations.FAN, 1971, Taškent (Russian). Zbl 0259.34002 |
| Reference:
|
[3] J. L. Daleckij M. G. Krejn: The stability of solutions of differential equations in Banach space.Nauka, 1970, Moskva, (Russian). MR 0352638 |
| Reference:
|
[4] J. Kurzweil: Exponentially stable integral manifolds, Averaging principle and the continuous dependence on a parameter.Czech. Math. Journal, 16 (1966), pp. 380-423, 463-492. MR 0206440 |
| Reference:
|
[5] J. E. Littlewood G. H. Hardy G. Polya: Inequalities.Cambridge University Press, 1934. |
| Reference:
|
[6] P. C. Parks: A stability criterion for a panel flutter problem via the second method of Ljapunov.Academic Press Inc., 1967, New York. |
| Reference:
|
[7] J. Pešl: Periodic solutions of a weakly nonlinear wave equation in one dimension.Čas. pro pěst. matematiky, 98 (1974), pp. 333-356. MR 0350208 |
| Reference:
|
[8] O. Vejvoda: Periodic solutions of a linear and weakly nonlinear wave equation in one dimension.Czech. Math. Journal, 14 (1964), pp. 341 - 382. MR 0174872 |
| Reference:
|
[9] O. Vejvoda: The mixed problem and periodic solutions for a linear and weakly nonlinear wave equation in one dimension.Rozpravy ČSAV, Řada mat. a přír. věd, 80 (1970), 3, Academia, Praha. Zbl 0278.35064, MR 0310437 |
| Reference:
|
[10] P. K. C. Wang: Stability analysis of elastic and aeroelastic systems via Lyapunov's direct method.Journal of The Franklin Institute, 1966, Philadelphia. Zbl 0148.20102 |
| Reference:
|
[11] V. I. Zubov: Methods of A. M. Ljapunov and their applications.1957, Leningrad, (Russian). MR 0086966 |
| . |
