Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type

Jindřich Nečas

Commentationes Mathematicae Universitatis Carolinae (1972)

  • Volume: 013, Issue: 1, page 109-120
  • ISSN: 0010-2628

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Nečas, Jindřich. "Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type." Commentationes Mathematicae Universitatis Carolinae 013.1 (1972): 109-120. <http://eudml.org/doc/16478>.

@article{Nečas1972,
author = {Nečas, Jindřich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {1},
pages = {109-120},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type},
url = {http://eudml.org/doc/16478},
volume = {013},
year = {1972},
}

TY - JOUR
AU - Nečas, Jindřich
TI - Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1972
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 013
IS - 1
SP - 109
EP - 120
LA - eng
UR - http://eudml.org/doc/16478
ER -

References

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  1. F. E. BROWDER, Existence and uniqueness theorems for solutions of non-linear boundary value problems, Proc. Symposia on Appl. Math. Amer. Math. Soc. 17 (1965), 24-49. (1965) MR0197933
  2. F. E. BROWDER, Existence theorems for non-linear partial differential equations, Proc. Amer. Math. Soc. 1968. Summer Institute in Global Analysis (to appear). (1968) 
  3. F. E. BROWDER, Non-linear operators and non-linear equations of evolution in Banach spaces, Proceedings of the Symposium on Non-linear Functional Analysis, Amer. Math. Soc. April, 1968 in Chicago. To appear. (1968) 
  4. D. G. de FIGUEIREDO, Ch. P. GUPTA, Borsuk type theorems for non-linear non-compact mappings in Banach Space, to appear. 
  5. S. FUČÍK, Note on the Fredholm alternative for nonlinear operators, Comment. Math. Univ. Carolinae 12 (1971), 213-226. (1971) MR0288641
  6. M. A. KRASNOSELSKIJ, Topological methods in the theory of non-linear integral equations, Pergamon Press, N. T. 1964. (1964) 
  7. M. KUČERA, Fredholm alternative for non-linear operators, thesis 1969, Charles University, Prague. (1969) 
  8. M. KUČERA, Fredholm alternative for nonlinear operators, Comment. Math. Univ. Carolinae 11 (1970), 337-363. (1970) MR0267429
  9. J. NEČAS, Sur l'alternative de Fredholm pour les opérateurs non linéaires avec applications aux problèmes aux limites, Annali Scuola Norm. Sup. Pisa, XXIII (1969), 331-345. (1969) Zbl0187.08103MR0267430
  10. S. I. POCHOŽAJEV, On the solvability of non-linear equations involving odd operators, Functional Analysis and Appl. (Russian), 1 (1967), 66-73. (1967) 
  11. M. M. VAJNBERG, Variational methods for the study of non-linear operators, Holden-Day, 1964. (1964) 

Citations in EuDML Documents

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  1. Jindřich Nečas, On the range of nonlinear operators with linear asymptotes which are not invertible
  2. Jiří Jarušek, Jindřich Nečas, Sur les domaines des valeurs des opérateurs non-linéaires
  3. Filomena Pacella, Note on spectral theory of nonlinear operators: Extensions of some surjectivity theorems of Fučík and Nečas
  4. Svatopluk Fučík, Спектральный анализ нелинейных операторов
  5. Ivan Hlaváček, Oldřich John, Alois Kufner, Josef Málek, Nečasová, Š. , Jana Stará, Vladimír Šverák, In Memoriam Jindřich Nečas

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