| Title:
|
A contribution to the theory of stability of differential equations in Banach space (English) |
| Author:
|
Neustupa, Jiří |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
29 |
| Issue:
|
1 |
| Year:
|
1979 |
| Pages:
|
27-52 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34G20 |
| MSC:
|
35B35 |
| idZBL:
|
Zbl 0441.34044 |
| idMR:
|
MR518138 |
| DOI:
|
10.21136/CMJ.1979.101576 |
| . |
| Date available:
|
2008-06-09T14:31:34Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101576 |
| . |
| Reference:
|
[1] Barták J.: The Lyapunov Stability of the Timoshenko Type Equation.Čas. pro pěst. matematiky 101, 130-139, 1976. MR 0445073 |
| Reference:
|
[2] Barták J.: The Lyapunov Stability and Stability at Constantly Acting Disturbances of an Abstract Differential Equation of the Second Order.Czech. Math. Journal 26 (101), 411-437, 1976. MR 0415017 |
| Reference:
|
[3] Dunford N. J. T. Schwartz: Linear Operators I.New York-London, 1958. MR 0117523 |
| Reference:
|
[4] Filatov A. N.: Averaging Methods in Differential and Integral Equations.Tashkent, FAN 1971 (Russian). |
| Reference:
|
[5] Iooss G.: Théorie non linéaire de la stabilité des écoulements laminaires dans le cas de „l'échange des stabilités".Arch Rat. Mech. Anal. 40, 166-208, 1971. MR 0269178, 10.1007/BF00281481 |
| Reference:
|
[6] Iooss G.: Existence et stabilité de la solution périodique secondaire intervenant dans les problèmes d'évolution du type Navier-Stokes.Arch. Rat. Mech. Anal. 47, 301-329, 1972. Zbl 0258.35057, MR 0346350, 10.1007/BF00281637 |
| Reference:
|
[7] Iooss G.: Bifurcation of a Periodic Solution of the Navier-Stokes Equations into an Invariant Torus.Arch. Rat. Mech. Anal. 58, 35-56, 1975. Zbl 0337.35058, MR 0393885, 10.1007/BF00280153 |
| Reference:
|
[8] Joseph D. D. D. A. Nield: Stability of Bifurcating Time-Periodic and Steady Solutions of Arbitrary Amplitude.Arch. Rat. Mech. Anal. 58, 369-380., 1975. MR 0477915, 10.1007/BF00250296 |
| Reference:
|
[9] Judovič V. I.: Appearance of Auto-Oscillations in a Fluid.Prikl. Mat. Mech. 35, 638-655, 1971 (Russian). MR 0381502 |
| Reference:
|
[10] Kielhofer H.: Stability and Semilinear Evolution Equations in Hilbert Space.Arch. Rat. Mech. Anal. 57, 150-165, 1974. MR 0442405, 10.1007/BF00248417 |
| Reference:
|
[11] Ladyzhenskaya O. A.: The Mathematical Theory of Viscous Incompressible Flow.Moskva, Nauka 1970 (Russian). MR 0254401 |
| Reference:
|
[12] Neustupa J.: The Uniform Exponential Stability and the Stability at Constantly Acting Disturbances of a Periodic Solution of the Wave Equation.Czech. Math. Journal 26 (101), 388-410, 1976. MR 0435565 |
| Reference:
|
[13] Prodi G.: Teoremi di tipo locale per il sistema di Navier-Stokes e stabilitá delle soluzioni stazionarie.Rend. Sem. Mat. Univ. Padova 32, 374-397, 1962. Zbl 0108.28602, MR 0189354 |
| Reference:
|
[14] Sattinger D. H.: The Mathematical Problem of Hydrodynamic Stability.Journal of Math. and Mech. 18, No. 9, 797-817, 1970. Zbl 0198.30401, MR 0261182 |
| Reference:
|
[15] Sattinger D. H.: Topics in Stability and Bifurcation Theory.Lecture Notes in Mathematics, n. 309, Berlin-Heidelberg-New York: Springer 1973. Zbl 0248.35003, MR 0463624 |
| Reference:
|
[16] Sova M.: On the Timoshenko Type Equations.Čas. pro pěst. matematiky 100, 111-254, 1975. Zbl 0324.34060, MR 0387763 |
| Reference:
|
[17] Sova M.: Linear Differential Equations in Banach Spaces.Rozpravy ČSAV, řada mat. a přír. věd, 85, 6, Academia Praha 1975. Zbl 0333.34055, MR 0481342 |
| Reference:
|
[18] Yosida K.: Functional Analysis.Berlin-Göttingen-Heidelberg, Springer 1965. Zbl 0126.11504 |
| . |
