Nonlinear equations with noninvertible linear part

Svatopluk Fučík

Czechoslovak Mathematical Journal (1974)

  • Volume: 24, Issue: 3, page 467-495
  • ISSN: 0011-4642

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Fučík, Svatopluk. "Nonlinear equations with noninvertible linear part." Czechoslovak Mathematical Journal 24.3 (1974): 467-495. <http://eudml.org/doc/12811>.

@article{Fučík1974,
author = {Fučík, Svatopluk},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {3},
pages = {467-495},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonlinear equations with noninvertible linear part},
url = {http://eudml.org/doc/12811},
volume = {24},
year = {1974},
}

TY - JOUR
AU - Fučík, Svatopluk
TI - Nonlinear equations with noninvertible linear part
JO - Czechoslovak Mathematical Journal
PY - 1974
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 3
SP - 467
EP - 495
LA - eng
UR - http://eudml.org/doc/12811
ER -

References

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  6. S. Fučík, Surjectivity of operators involving linear noninvertible part and nonlinear compact perturbation, (to appear). MR0365255
  7. S. Fučík M. Kučera, J. Nečas, Ranges of nonlinear asymptotically linear operators, (to appear). MR0372696
  8. S. Fučík J. Nečas J. Souček, V. Souček, Spectral Analysis of Nonlinear Operators, Lecture Notes in Mathematics. Springer-Verlag, 1973. (1973) MR0467421
  9. G. В. Gustafson, K. Schmitt, 10.1016/0022-0396(72)90009-5, J. Diff. Eq. 12, 1972, 129-147. (1972) Zbl0227.34017MR0346234DOI10.1016/0022-0396(72)90009-5
  10. W. S. Hall, 10.1090/S0002-9947-1971-0282267-2, Trans. Amer. Math. Soc. 161, 1971, 207-217. (1971) Zbl0225.47005MR0282267DOI10.1090/S0002-9947-1971-0282267-2
  11. E. A. Landesman, A. С. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. 19, 1970, 609-623. (1970) Zbl0193.39203MR0267269
  12. J. Locker, 10.1090/S0002-9947-1967-0215142-9, Trans. Amer. Math. Soc. 128, 1967, 403-413. (1967) Zbl0156.15802MR0215142DOI10.1090/S0002-9947-1967-0215142-9
  13. J. Mawhin, Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces, Rapport no 23, juin 1972, Séminaire de Mathématique Pure, Institut de Mathématique Pure et Appliqée, Université Catholique de Louvain. (1972) Zbl0244.47049MR0399975
  14. J. Mawhin, Boundary value problems for nonlinear second order vector differential equations, Rapport no 47, juin 1972, Séminaires de mathématique appliquée et mécanique, Institut de Mathématique Pure et Appliquée, Université Catholique de Louvain. (1972) MR0399556
  15. J. Nečas, On the range of nonlinear operators with linear asymptotes which are not invertible, Comment. Math. Univ. Carolinae 14, 1973, 63 - 72. (1973) MR0318995
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Citations in EuDML Documents

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  1. Svatopluk Fučík, Jean Mawhin, Periodic solutions of some nonlinear differential equations of higher order
  2. Svatopluk Fučík, Vladimír Lovicar, Boundary value and periodic problem for the equation x ' ' ( t ) + g ( x ( t ) ) = p ( t )
  3. Esther Podolak, A note on the existence of more than one solution for asymptotically linear equations
  4. Jiří Jarušek, Jindřich Nečas, Sur les domaines des valeurs des opérateurs non-linéaires
  5. Svatopluk Fučík, Remarks on some nonlinear boundary value problems
  6. Svatopluk Fučík, Boundary value problems with jumping nonlinearities
  7. Svatopluk Fučík, Further remark on a theorem by E. M. Landesman and A. C. Lazer
  8. Antonio Marino, Claudio Saccon, Some variational theorems of mixed type and elliptic problems with jumping nonlinearities
  9. Petronije S. Milojević, Fredholm alternatives and surjectivity results for multivalued A -proper and condensing mappings with applications to nonlinear integral and differential equations
  10. Svatopluk Fučík, Nonlinear potential equations with linear parts at resonance

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