Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population

被引：4

作者：

Ben Amar, Afif ^{[1
]}

机构：

[1] Univ Gafsa, Fac Sci Gafsa, Dept Math, Gafsa, Tunisia

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2011年 / 9卷 / 04期

关键词：

Nonlinear boundary value problem; Cell population dynamics; Fixed point theorems; Regular operators; FIXED-POINT THEOREMS;

D O I：

10.2478/s11533-011-0039-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：851 / 865

页数：15

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