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

共 50 条

[1] GENERALIZED LERAY-SCHAUDER NONLINEAR ALTERNATIVES FOR GENERAL CLASSES OF MAPS
O'Regan, Donal
[J]. FIXED POINT THEORY, 2021, 22 (01): : 299 - 313
[2] Nonlinear Alternatives of Leray-Schauder Type in Banach Algebra Involving Four Operators with Application
Jeribi, Aref
Moalla, Rihab
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2013, 34 (10) : 1097 - 1114
[3] ON SOME NONLINEAR ALTERNATIVES OF LERAY-SCHAUDER TYPE AND FUNCTIONAL INTEGRAL EQUATIONS
Dhage, B. C.
[J]. ARCHIVUM MATHEMATICUM, 2006, 42 (01): : 11 - 23
[4] Nonlinear Leray-Schauder Alternatives for Decomposable Operators in Dunford-Pettis Spaces and Application to Nonlinear Eigenvalue Problems
Ben Amar, Afif
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2010, 31 (11) : 1213 - 1220
[5] Application of the Leray-Schauder Principle to the Analysis of a Nonlinear Integral Equation
Nikolaev, M. V.
Nikitin, A. A.
[J]. DIFFERENTIAL EQUATIONS, 2019, 55 (09) : 1164 - 1173
[6] Application of the Leray-Schauder Principle to the Analysis of a Nonlinear Integral Equation
M. V. Nikolaev
A. A. Nikitin
[J]. Differential Equations, 2019, 55 : 1164 - 1173
[7] Application of the Leray-Schauder alternative to nonlinear singular operator equations
Altun, Ishak
Koca, Kerim
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1807 - 1811
[8] A LERAY-SCHAUDER THEOREM FOR A CLASS OF NONLINEAR OPERATORS
EDMUNDS, DE
WEBB, JRL
[J]. MATHEMATISCHE ANNALEN, 1969, 182 (03) : 207 - &
[9] MEASURES OF WEAK NON COMPACTNESS, NONLINEAR LERAY-SCHAUDER ALTERNATIVES IN BANACH ALGEBRAS SATISFYING CONDITION (P) AND AN APPLICATION
Ali, Amro Alsheikh
Ben Amar, Afif
[J]. QUAESTIONES MATHEMATICAE, 2016, 39 (03) : 319 - 340
[10] AN APPLICATION OF THE LERAY-SCHAUDER DEGREE THEORY TO THE VARIABLE COEFFICIENT SEMILINEAR BIHARMONIC PROBLEM
Choi, Q-Heung
Jung, Tacksun
[J]. KOREAN JOURNAL OF MATHEMATICS, 2011, 19 (01): : 65 - 75

← 1 2 3 4 5 →