The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation

Jiří Neustupa

Czechoslovak Mathematical Journal (1976)

  • Volume: 26, Issue: 3, page 388-410
  • ISSN: 0011-4642

How to cite

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Neustupa, Jiří. "The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation." Czechoslovak Mathematical Journal 26.3 (1976): 388-410. <http://eudml.org/doc/12954>.

@article{Neustupa1976,
author = {Neustupa, Jiří},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {3},
pages = {388-410},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation},
url = {http://eudml.org/doc/12954},
volume = {26},
year = {1976},
}

TY - JOUR
AU - Neustupa, Jiří
TI - The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation
JO - Czechoslovak Mathematical Journal
PY - 1976
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 3
SP - 388
EP - 410
LA - eng
UR - http://eudml.org/doc/12954
ER -

References

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  1. J. Havlová, Periodic solutions of a nonlinear telegraph equation, Čas. pro pěst. matematiky, 90 (1965), pp. 273-289. (1965) Zbl0143.13601MR0192180
  2. A. N. Filatov, Averaging methods in differential and integro-differential equations, FAN, 1971, Taškent (Russian). (1971) Zbl0259.34002
  3. J. L. Daleckij M. G. Krejn, The stability of solutions of differential equations in Banach space, Nauka, 1970, Moskva, (Russian). (1970) MR0352638
  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. (1966) MR0206440
  5. J. E. Littlewood G. H. Hardy G. Polya, Inequalities, Cambridge University Press, 1934. (1934) Zbl0010.10703
  6. P. C. Parks, A stability criterion for a panel flutter problem via the second method of Ljapunov, Academic Press Inc., 1967, New York. (1967) 
  7. J. Pešl, Periodic solutions of a weakly nonlinear wave equation in one dimension, Čas. pro pěst. matematiky, 98 (1974), pp. 333-356. (1974) MR0350208
  8. O. Vejvoda, Periodic solutions of a linear and weakly nonlinear wave equation in one dimension, Czech. Math. Journal, 14 (1964), pp. 341 - 382. (1964) Zbl0178.45302MR0174872
  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. (1970) Zbl0278.35064MR0310437
  10. P. K. C. Wang, Stability analysis of elastic and aeroelastic systems via Lyapunov's direct method, Journal of The Franklin Institute, 1966, Philadelphia. (1966) Zbl0148.20102
  11. V. I. Zubov, Methods of A. M. Ljapunov and their applications, 1957, Leningrad, (Russian). MR0086966

Citations in EuDML Documents

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  1. Jaroslav Barták, Jiří Neustupa, Замечание к устойчивости решений уравнения колебания стержня
  2. Jaroslav Barták, Stability of abstract differential equations at constantly acting disturbances
  3. Jiří Neustupa, The linearized uniform asymptotic stability of evolution differential equations
  4. Jiří Neustupa, A contribution to the theory of stability of differential equations in Banach space
  5. Jaroslav Barták, Stability and correctness of abstract differential equations in Hilbert spaces

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