Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations

Jindřich Nečas

Časopis pro pěstování matematiky (1972)

  • Volume: 097, Issue: 1, page 65-71
  • ISSN: 0528-2195

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Nečas, Jindřich. "Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations." Časopis pro pěstování matematiky 097.1 (1972): 65-71. <http://eudml.org/doc/21116>.

@article{Nečas1972,
author = {Nečas, Jindřich},
journal = {Časopis pro pěstování matematiky},
language = {eng},
number = {1},
pages = {65-71},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations},
url = {http://eudml.org/doc/21116},
volume = {097},
year = {1972},
}

TY - JOUR
AU - Nečas, Jindřich
TI - Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations
JO - Časopis pro pěstování matematiky
PY - 1972
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 097
IS - 1
SP - 65
EP - 71
LA - eng
UR - http://eudml.org/doc/21116
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. D. G. de Figueiredo, Ch. P. Gupta, Borsuk type theorems for non-linear non-compact mappings in Banach space, to appear. 
  4. M. A. Krasnoselskij, Topological methods in the theory of non-linear integral equations, Pergamon Press, N. Y., 1964. (1964) 
  5. M. Kučera, Fredholm alternative for non-linear operators, thesis 1969, Charles University, Prague. (1969) 
  6. J. Leray J. L. Lions, Queiques resultats de Višik sur les problemes elliptiques non lineaires par les méhodes de Minty-Browder, Bull. Soc. Math. France 93 (1965), 97-107. (1965) MR0194733
  7. G. J. Minty, Monotone (non-linear) operators in Hilbert space, Duke Math. J. 29 (1962), 341-346. (1962) MR0169064
  8. J. Nečas, Sur Palternative de Fredholm pour les operateurs non lineaires avec applications aux problemes aux limites, Annali Scuola Norm. Sup. Pisa, XXIII (1969), 331-345. (1969) MR0267430
  9. J. Nečas, Remark on the Fredholm alternative for non-linear operators with application to non-linear integral equation of generalized Hammerstein type, to appear. 
  10. S. L. Pochožajev, On the solvability of non-linear equations involving odd operators, Functional Analysis and Appl. (Russian), I (1967), 66-73. (1967) 
  11. M. I. Višik, Quasilinear strongly elliptic system of differential equations having divergence form, (Russian), Trudy Mosk. Mat. Ob§5. I2 (1963), 125-184. (1963) MR0156085

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