@article{CMUC_1973_14_4_a1,
author = {Fu\v{c}{\'\i}k, Svatopluk and Tran, Dien Hien},
title = {Note on nonlinear spectral theory: {Application} to boundary value problems for ordinary integrodifferential equations},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {583--608},
year = {1973},
volume = {14},
number = {4},
mrnumber = {0333631},
zbl = {0266.47058},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1973_14_4_a1/}
}
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 SP - 583 EP - 608 VL - 14 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_1973_14_4_a1/ LA - en ID - CMUC_1973_14_4_a1 ER -
%0 Journal Article %A Fučík, Svatopluk %A Tran, Dien Hien %T Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations %J Commentationes Mathematicae Universitatis Carolinae %D 1973 %P 583-608 %V 14 %N 4 %U http://geodesic.mathdoc.fr/item/CMUC_1973_14_4_a1/ %G en %F CMUC_1973_14_4_a1
Fučík, Svatopluk; Tran, Dien Hien. Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations. Commentationes Mathematicae Universitatis Carolinae, Tome 14 (1973) no. 4, pp. 583-608. http://geodesic.mathdoc.fr/item/CMUC_1973_14_4_a1/
[1] A. ALEXIEWICZ W. ORLICZ: Analytic operations in real Banach spaces. Studia Math. XIV (1954), 47-78. | MR
[2] S. FUČÍK: Note on the Fredholm alternative for nonlinear operators. Comment. Math. Univ. Carolinae 12 (1971), 213-226. | MR
[3] S. FUČÍK O. JOHN J. NEČAS: Schauder bases in Sobolev spaces. Comment. Math. Univ. Carolinae 13 (1972), 163-175. | MR
[4] S. FUČÍK J. NEČAS: Ljusternik-Schnirelman theorem and nonlinear eigenvalue problems. Math. Nachr. 53 (1972), 277-289. | MR
[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. | MR
[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. | MR
[8] E. HILLE R. PHILLIPS: Functional analysis and semigroups. Providence 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. | MR
[10] M. M. VAJNBERG: Variational methods for the study of nonlinear operators. Holden-Day, 1964. | Zbl