A contribution to the theory of stability of differential equations in Banach space

Jiří Neustupa

Czechoslovak Mathematical Journal (1979)

  • Volume: 29, Issue: 1, page 27-52
  • ISSN: 0011-4642

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Neustupa, Jiří. "A contribution to the theory of stability of differential equations in Banach space." Czechoslovak Mathematical Journal 29.1 (1979): 27-52. <http://eudml.org/doc/13102>.

@article{Neustupa1979,
author = {Neustupa, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {uniform exponential stability; constantly acting disturbances; Navier-Stokes equations; wave equation; Timoshenko type equation},
language = {eng},
number = {1},
pages = {27-52},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A contribution to the theory of stability of differential equations in Banach space},
url = {http://eudml.org/doc/13102},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Neustupa, Jiří
TI - A contribution to the theory of stability of differential equations in Banach space
JO - Czechoslovak Mathematical Journal
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 29
IS - 1
SP - 27
EP - 52
LA - eng
KW - uniform exponential stability; constantly acting disturbances; Navier-Stokes equations; wave equation; Timoshenko type equation
UR - http://eudml.org/doc/13102
ER -

References

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  1. Barták J., The Lyapunov Stability of the Timoshenko Type Equation, Čas. pro pěst. matematiky 101, 130-139, 1976. (1976) MR0445073
  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. (1976) MR0415017
  3. Dunford N. J. T. Schwartz, Linear Operators I, New York-London, 1958. (1958) MR0117523
  4. Filatov A. N., Averaging Methods in Differential and Integral Equations, Tashkent, FAN 1971 (Russian). (1971) 
  5. Iooss G., 10.1007/BF00281481, Arch Rat. Mech. Anal. 40, 166-208, 1971. (1971) MR0269178DOI10.1007/BF00281481
  6. Iooss G., 10.1007/BF00281637, Arch. Rat. Mech. Anal. 47, 301-329, 1972. (1972) Zbl0258.35057MR0346350DOI10.1007/BF00281637
  7. Iooss G., 10.1007/BF00280153, Arch. Rat. Mech. Anal. 58, 35-56, 1975. (1975) Zbl0337.35058MR0393885DOI10.1007/BF00280153
  8. Joseph D. D. D. A. Nield, 10.1007/BF00250296, Arch. Rat. Mech. Anal. 58, 369-380., 1975. (1975) MR0477915DOI10.1007/BF00250296
  9. Judovič V. I., Appearance of Auto-Oscillations in a Fluid, Prikl. Mat. Mech. 35, 638-655, 1971 (Russian). (1971) MR0381502
  10. Kielhofer H., 10.1007/BF00248417, Arch. Rat. Mech. Anal. 57, 150-165, 1974. (1974) MR0442405DOI10.1007/BF00248417
  11. Ladyzhenskaya O. A., The Mathematical Theory of Viscous Incompressible Flow, Moskva, Nauka 1970 (Russian). (1970) MR0254401
  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. (1976) MR0435565
  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. (1962) Zbl0108.28602MR0189354
  14. Sattinger D. H., The Mathematical Problem of Hydrodynamic Stability, Journal of Math. and Mech. 18, No. 9, 797-817, 1970. (1970) Zbl0198.30401MR0261182
  15. Sattinger D. H., Topics in Stability and Bifurcation Theory, Lecture Notes in Mathematics, n. 309, Berlin-Heidelberg-New York: Springer 1973. (1973) Zbl0248.35003MR0463624
  16. Sova M., On the Timoshenko Type Equations, Čas. pro pěst. matematiky 100, 111-254, 1975. (1975) Zbl0324.34060MR0387763
  17. Sova M., Linear Differential Equations in Banach Spaces, Rozpravy ČSAV, řada mat. a přír. věd, 85, 6, Academia Praha 1975. (1975) Zbl0333.34055MR0481342
  18. Yosida K., Functional Analysis, Berlin-Göttingen-Heidelberg, Springer 1965. (1965) Zbl0126.11504

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