Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations

Svatopluk Fučík; Dien Hien Tran

Commentationes Mathematicae Universitatis Carolinae (1973)

  • Volume: 014, Issue: 4, page 583-608
  • ISSN: 0010-2628

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Fučík, Svatopluk, and Tran, Dien Hien. "Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations." Commentationes Mathematicae Universitatis Carolinae 014.4 (1973): 583-608. <http://eudml.org/doc/16583>.

@article{Fučík1973,
author = {Fučík, Svatopluk, Tran, Dien Hien},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {583-608},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations},
url = {http://eudml.org/doc/16583},
volume = {014},
year = {1973},
}

TY - JOUR
AU - Fučík, Svatopluk
AU - Tran, Dien Hien
TI - Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1973
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 014
IS - 4
SP - 583
EP - 608
LA - eng
UR - http://eudml.org/doc/16583
ER -

References

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  1. A. ALEXIEWICZ W. ORLICZ, Analytic operations in real Banach spaces, Studia Math. XIV (1954), 47-78. (1954) MR0062947
  2. S. FUČÍK, Note on the Fredholm alternative for nonlinear operators, Comment. Math. Univ. Carolinae 12 (1971), 213-226. (1971) MR0288641
  3. S. FUČÍK O. JOHN J. NEČAS, Schauder bases in Sobolev spaces, Comment. Math. Univ. Carolinae 13 (1972), 163-175. (1972) MR0306890
  4. S. FUČÍK J. NEČAS, Ljusternik-Schnirelman theorem and nonlinear eigenvalue problems, Math. Nachr. 53 (1972), 277-289. (1972) MR0333863
  5. S. FUČÍK J. NEČAS J. SOUČEK V. SOUČEK, Upper bound for the number of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear partial differential operators, Journ. Funct. Anal. 11 (1972), 314-333. (1972) MR0341224
  6. 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). 
  7. S. FUČÍK J. NEČAS J. SOUČEK V. SOUČEK, Spectral analysis of nonlinear operators, Lecture notes in mathematics No 346, Springer 1973. (1973) MR0467421
  8. E. HILLE R. PHILLIPS, Functional analysis and semigroups, Providence 1957. (1957) 
  9. J. NEČAS, Fredholm theory of boundary value problems for nonlinear ordinary differential operators, Theory of Nonlinear Operators, Proceedings of a Summer School held in September 1971 at Babylon-Czechoslovakia, pp. 85-120, Academia, Prague 1973. (1971) MR0402562
  10. M. M. VAJNBERG, Variational methods for the study of nonlinear operators, Holden-Day, 1964. (1964) Zbl0122.35501

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