Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term

Naděžda Krylová

Czechoslovak Mathematical Journal (1970)

  • Volume: 20, Issue: 3, page 375-405
  • ISSN: 0011-4642

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Krylová, Naděžda. "Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term." Czechoslovak Mathematical Journal 20.3 (1970): 375-405. <http://eudml.org/doc/12543>.

@article{Krylová1970,
author = {Krylová, Naděžda},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {3},
pages = {375-405},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term},
url = {http://eudml.org/doc/12543},
volume = {20},
year = {1970},
}

TY - JOUR
AU - Krylová, Naděžda
TI - Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term
JO - Czechoslovak Mathematical Journal
PY - 1970
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 20
IS - 3
SP - 375
EP - 405
LA - eng
UR - http://eudml.org/doc/12543
ER -

References

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  2. И. M. Бабаков, Теория колебаний, Москва, 1958. (1958) Zbl0995.62501
  3. Е. Hille R. S. Phillips, Functional Analysis and Semi-Groups, Amer. Math. Soc. (1957). (1957) MR0089373
  4. J. L. Lions, Equations différentielles opérationnelles et problèmes aux limites, Springer-Verlag, Berlin 1961. (1961) Zbl0098.31101MR0153974
  5. J. Nečas, Les méthodes direct en théorie des equations elliptiques, Academia, Praha 1967. (1967) MR0227584
  6. L. Nirenberg, 10.1002/cpa.3160080414, Comm. Pure Applied Math., 8 (1955), 649-675. (1955) Zbl0067.07602MR0075415DOI10.1002/cpa.3160080414
  7. G. Prodi, Soluzioni periodiche dell'equazioni delle onde con termine dissipativo non lineare, Rend. Sem. Mat. Padova XXXVI, 1, 1966, 37-49. (1966) MR0204822
  8. G. Prouse, Soluzioni periodiche dell'equazione delle onde non omogenea con termine dissipativo quadratico, Richerche di Mat., Vol. XIII, 2, 1964, 261 - 280. (1964) Zbl0141.28804MR0194753
  9. J. Sather, The intial-boundary value problem for a non-linear hyperbolic equation in relativistic quantum mechanics, Journal of Mathematics and Mechanics, Vol. 16, No 1, 1966, 27-50. (1966) MR0196301
  10. Taylor A. E., Bochner S., 10.2307/1968472, Annals of Math., 39, 1938, 913-944. (1938) Zbl0020.37101MR1503445DOI10.2307/1968472
  11. C. H. Wilcox, Initial-boundary value problem for linear hyperbolic partial differential equations of the second order, Arch. Rational Mech. Analysis, 10 (1962), 364-400. (1962) MR0145203

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