Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblKeywords: order preserving operator; ordered Banach space; structure of the set of fixed points; fixed points between the minimal and maximal ones; connectedness of the set of solutions
Rudolf, Boris. Monotone iterative technique and connectedness of the set of solutions. Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 323-329. doi: 10.21136/MB.2000.126133
@article{10_21136_MB_2000_126133,
author = {Rudolf, Boris},
title = {Monotone iterative technique and connectedness of the set of solutions},
journal = {Mathematica Bohemica},
pages = {323--329},
year = {2000},
volume = {125},
number = {3},
doi = {10.21136/MB.2000.126133},
mrnumber = {1790123},
zbl = {0971.47033},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.126133/}
}
TY - JOUR AU - Rudolf, Boris TI - Monotone iterative technique and connectedness of the set of solutions JO - Mathematica Bohemica PY - 2000 SP - 323 EP - 329 VL - 125 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.126133/ DO - 10.21136/MB.2000.126133 LA - en ID - 10_21136_MB_2000_126133 ER -
[1] Amman H.: Fixed points equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Rev. 18 (1976), 620-709. | DOI | MR
[2] Deimling K.: Nonlinear Functional Analysis. Springer-Verlag, Berlin, 1985. | MR | Zbl
[3] Fang Shuhong: Semilattice structure of fixed points set for increasing operators. Nonlinear Anal. 27 (1996), 793-796. | DOI | MR
[4] Gera M., Nieto J. J., Šeda V.: Periodic boundary value problems for nonlinear higher order ordinary differential equatíons. Appl. Math. Comput. 48 (1992), 71-82. | MR
[5] Hess P.: Periodic-Parabolic Boundary Value Problems and Positivity. Pitman Research Works in Math. Ser., Longman, 1991. | MR | Zbl
[6] Krasnoseľskij M. A., Lusnikov A. V.: Fixed points with special properties. Dokl. Akad. Nauk 345 (1995), 303-305. (In Russian.) | MR
[7] Ladde G. S., Lakshmikantham V., Vatsala A. S.: Monotone Iterative Techniques for Nonlinear Differential Equations. Pitman, Boston, 1986. | MR
[8] Lakshmikantham V., Leela S.: Remarks on first and second order periodic boundary value problems. Nonlinear Anal. 8 (1984), 281-287. | DOI | MR | Zbl
[9] Rudolf B., Kubáček Z.: Remarks on J. J. Nieto's paper: Nonlinear second order periodic boundary value problems. J. Math. Anal. Appl. 146 (1990), 203-206. | DOI | MR | Zbl
[10] Šeda V.: Generalized boundary value problems and Fredholm mappings. Nonlinear Anal. 30 (1997), 1607-1616. | DOI | MR
Cité par Sources :