Periodic solutions to abstract differential equations

Ivan Straškraba; Otto Vejvoda

Czechoslovak Mathematical Journal (1973)

  • Volume: 23, Issue: 4, page 635-669
  • ISSN: 0011-4642

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Straškraba, Ivan, and Vejvoda, Otto. "Periodic solutions to abstract differential equations." Czechoslovak Mathematical Journal 23.4 (1973): 635-669. <http://eudml.org/doc/12759>.

@article{Straškraba1973,
author = {Straškraba, Ivan, Vejvoda, Otto},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {635-669},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Periodic solutions to abstract differential equations},
url = {http://eudml.org/doc/12759},
volume = {23},
year = {1973},
}

TY - JOUR
AU - Straškraba, Ivan
AU - Vejvoda, Otto
TI - Periodic solutions to abstract differential equations
JO - Czechoslovak Mathematical Journal
PY - 1973
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 23
IS - 4
SP - 635
EP - 669
LA - eng
UR - http://eudml.org/doc/12759
ER -

References

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  3. F. E. Browder, Periodic solutions of nonlinear equations of evolution in infinite dimensional spaces, Lecture Series in Differential Equations, University of Maryland, 1966. (1966) 
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  5. F. E. Browder, Periodic solutions of nonlinear equations of evolution in infinite dimensional spaces, Lect. Diff. Eq., 1, 71 - 96, Van Nostrand, N.Y., 1969. (1969) Zbl0188.15602MR0273168
  6. L. Zend, Theorem on the existence of a periodic solution to a parabolic equation with a nonlinearity, (Russian) Vestnik Moskov. Univ., (1967), 32-35. (1967) 
  7. A. A. Dezin, Operators with the first derivative and nonlocal boundary conditions, Izv. AN USSR, Ser. mat. 31 (1967), 61-86. (Russian.) (1967) MR0213762
  8. I. B. Simoněnko, Basing of the averaging principle to abstract parabolic equations, Mat. sbornik, Novaja serija, 81 (1970), 53 - 61. (Russian.) (1970) MR0257594
  9. K. Masuda, On the existence of periodic solutions of nonlinear differential equations, J. Рас. Sci. Univ. Tokyo, 12 (1966), 247-257. (1966) Zbl0142.38201MR0197942
  10. Ju. A. Dubinskij, Periodic solutions of elliptic-parabolic equations, (Russian.) Mat. sbornik, Novaja serija, 76 (1968), 620-633. (1968) MR0233058
  11. O. Vejvoda, Periodic solutions of a linear and weakly nonlinear wave equation in one dimension, Czech. Math. J. 14 (1964), 341-382. (1964) MR0174872
  12. О. 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
  13. N. Krylová О. Vejvoda, Periodic solutions to partial differential equations, especially to a biharmonic wave equations, Symposia Matematica, 7, 85 - 96, Academic Press, New York-London, 1971. (1971) MR0336018
  14. N. Krylová О. Vejvoda, A linear and weakly nonlinear equation of a beam: the boundary value problem for free extremities and its periodic solutions, Czech. Mat. J., 21 (1971), 535-566. (1971) MR0289918
  15. O. Vejvoda, Periodic solutions of a weakly nonlinear wave equation in E 3 in a spherically symmetrical case, Apl. mat., 14 (1969), 160-167. (1969) Zbl0175.39504MR0239247
  16. A. I. Plesner V. A. Rochlin, Spectral theory of linear operators. II, Uspechi mat. nauk, T. 1, Vyp. 1 (11) (1946), 71-91, (Russian). (1946) MR0021245
  17. K. Yosida, Functional Analysis, New York 1971. (1971) Zbl0217.16001MR0239384
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  25. M. Marcus V. J. Mizel, 10.1007/BF00251378, Arch. Rat. Mech. 45, No 4, (1972), 294-320. (1972) MR0338765DOI10.1007/BF00251378

Citations in EuDML Documents

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  1. Jaroslav Barták, Lyapunov stability and stability at constantly acting disturbances of an abstract differential equation of the second order
  2. Ivan Straškraba, Otto Vejvoda, Correction to our paper “Periodic solutions to abstract differential equations”
  3. Ivan Straškraba, Otto Vejvoda, Periodic solutions to a singular abstract differential equation
  4. Leopold Herrmann, Periodic solutions to a one-dimensional strongly nonlinear wave equation with strong dissipation
  5. Jaroslav Barták, The Lyapunov stability of the Timoshenko type equation
  6. Jaroslav Barták, Stability and correctness of abstract differential equations in Hilbert spaces

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