Motivated by a mathematical model of an age structured proliferating cell population, we state some new variants of Leray-Schauder type fixed point theorems for (ws)-compact operators. Further, we apply our results to establish some new existence and locality principles for nonlinear boundary value problem arising in the theory of growing cell population in L 1-setting. Besides, a topological structure of the set of solutions is provided.
@article{bwmeta1.element.doi-10_2478_s11533-011-0039-6,
author = {Afif Amar},
title = {Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {851-865},
zbl = {1263.92044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0039-6}
}
Afif Amar. Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population. Open Mathematics, Tome 9 (2011) pp. 851-865. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0039-6/
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