On the spectrum of a nonlinear operator

Jiří Souček; Vladimír Souček

Czechoslovak Mathematical Journal (1974)

  • Volume: 24, Issue: 4, page 614-663
  • ISSN: 0011-4642

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Souček, Jiří, and Souček, Vladimír. "On the spectrum of a nonlinear operator." Czechoslovak Mathematical Journal 24.4 (1974): 614-663. <http://eudml.org/doc/12828>.

@article{Souček1974,
author = {Souček, Jiří, Souček, Vladimír},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {614-663},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the spectrum of a nonlinear operator},
url = {http://eudml.org/doc/12828},
volume = {24},
year = {1974},
}

TY - JOUR
AU - Souček, Jiří
AU - Souček, Vladimír
TI - On the spectrum of a nonlinear operator
JO - Czechoslovak Mathematical Journal
PY - 1974
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 4
SP - 614
EP - 663
LA - eng
UR - http://eudml.org/doc/12828
ER -

References

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  1. H. Cartan F. Bruhat, Sur la structure des sousensembles analytiques réels, Comptes Rendus, vol. 244, 1957, p. 988. (1957) Zbl0081.17201MR0086108
  2. S. Fučík J. Nečas J. Souček V. Souček, 10.1016/0022-1236(72)90072-9, Journal Funct. Anal. 11, 1972, p. 314-322. (1972) Zbl0252.47072MR0341224DOI10.1016/0022-1236(72)90072-9
  3. S. Fučík J. Nečas J. Souček V. Souček, Upper bound for the number of eigenvalues for nonlinear operators, Ann. Scuola Norm. Sup. Pisa, 27, 1973, p. 53 - 71. (1973) Zbl0263.58007MR0372918
  4. S. Fučík J. Nečas J. Souček V. Souček, Strenghthening upper bound for the number of critical levels of nonlinear functionals, Comm. Math. Univ. Carol. 13, 1972, p. 297-310. (1972) Zbl0253.58006MR0305169
  5. S. Fučík J. Nečas J. Souček V. Souček, New infinite dimensional versions of Morse-Sard theorem, Boll. Unione Mat. Ital. 6, 1972, p. 317-322. (1972) Zbl0263.58006MR0324724
  6. S. Fučík J. Nečas J. Souček V. Souček, Remarks on M. A. Krasnoselskij's main bifurcation theorem, (to appear). Zbl0301.47041
  7. S. Fučík J. Nečas J. Souček V. Souček, Note to nonlinear spectral theory: Application to the nonlinear integral equations of the Lichtenstein type, (to appear). Zbl0273.45005
  8. S. Fučík J. Nečas J. Souček V. Souček, Spectral analysis of nonlinear operators, Lecture Notes in Math., Springer-Verlag, vol. 346. Zbl0268.47056
  9. R. C. Gunning H. Rossi, Analytic functions of several complex variables, PrenticeHall, 1965. (1965) Zbl0141.08601MR0180696
  10. M. Hervé, Функции многих комплексных переменных, (Functions of several complex variables), Москва, 1965. (1965) 
  11. M. Kučera, Hausdorff measure of the set of critical values of functions of the class C k , α , Comm. Math. Univ. Carol. 13, 1972, p. 333-350. (1972) Zbl0239.26012MR0305421
  12. J. Milnor, Особые точки комплексных гиперповерхностей, (Singular points of complex hypersurfaces), Москва, 1971. (1971) Zbl0265.10013
  13. R. Narasimhan, Анализ на действительных и комплексных многообразниях, (Analysis on real and complex manifolds), Москва, 1971. (1971) Zbl0257.22014
  14. S. Fučík J. Nečas, 10.1002/mana.19720530123, Math. Nachr. 53, 1972, p. 277-289. (1972) Zbl0215.21202MR0333863DOI10.1002/mana.19720530123
  15. A. Sard, 10.1090/S0002-9904-1942-07811-6, Bull. Am. Math. Soc., 48, 1942, p. 883-890. (1942) Zbl0063.06720MR0007523DOI10.1090/S0002-9904-1942-07811-6
  16. V. Souček, О spektru nelineárních operátorů, (On the spectrum of nonlinear operators), these, Praha 1973. (1973) 
  17. E. Spanier, Алгебраическая топология, Москва, 1971. (1971) Zbl0235.68029
  18. J. Souček V. Souček, Morse-Sard theorem for real-analytic functions, Comm. Math. Univ. Carol. 13, 1972, p. 45-51. (1972) Zbl0235.26012MR0308345
  19. M. M. Vajnberg, Variational methods for the study of nonlinear operators, Holden-Day, 1964. (1964) Zbl0122.35501MR0176364
  20. H. Whitney F. Bruhat, 10.1007/BF02565913, Comment. Math. Helvetici, 33, 1959, p. 132-160. (1959) Zbl0100.08101MR0102094DOI10.1007/BF02565913

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