Existence of monotone positive solutions of a neighbour based chemotaxis model and aggregation phenomenon

Xin Xu;

doi:10.3934/cpaa.2020195

Existence of monotone positive solutions of a neighbour based chemotaxis model and aggregation phenomenon

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020195 ◽

2020 ◽

Vol 19 (9) ◽

pp. 4327-4348

Author(s):

Xin Xu ◽

Keyword(s):

Positive Solutions ◽

Chemotaxis Model ◽

Monotone Positive Solutions ◽

Aggregation Phenomenon

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Existence and iteration of monotone positive solutions for multipoint boundary value problem with p-Laplacian operator

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2005.04.016 ◽

2005 ◽

Vol 50 (5-6) ◽

pp. 729-739 ◽

Cited By ~ 72

Author(s):

De-Xiang Ma ◽

Zeng-Ji Du ◽

Wei-Gao Ge

Keyword(s):

Boundary Value Problem ◽

Positive Solutions ◽

Boundary Value ◽

Laplacian Operator ◽

Multipoint Boundary ◽

Monotone Positive Solutions ◽

Multipoint Boundary Value Problem

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Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.12.065 ◽

2012 ◽

Vol 63 (9) ◽

pp. 1355-1360 ◽

Cited By ~ 21

Author(s):

Shunyong Li ◽

Xiaoqin Zhang

Keyword(s):

Boundary Conditions ◽

Positive Solutions ◽

Existence And Uniqueness ◽

Nonlinear Boundary ◽

Elastic Beam ◽

Nonlinear Boundary Conditions ◽

Beam Equation ◽

Elastic Beam Equation ◽

Monotone Positive Solutions

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An Infinite Dimensional Extension of Theorems of Hartman and Wintner on Monotone Positive Solutions of Ordinary Differential Equations

Proceedings of the American Mathematical Society ◽

10.2307/2048244 ◽

1990 ◽

Vol 110 (1) ◽

pp. 77

Author(s):

A. F. Ize

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Positive Solutions ◽

Infinite Dimensional ◽

Monotone Positive Solutions

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Existence and uniqueness of convex monotone positive solutions for boundary value problems of an elastic beam equation with a parameter

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2015.1.81 ◽

2015 ◽

pp. 1-11 ◽

Cited By ~ 4

Author(s):

Chengbo Zhai ◽

Chunrong Jiang

Keyword(s):

Boundary Value Problems ◽

Positive Solutions ◽

Existence And Uniqueness ◽

Boundary Value ◽

Elastic Beam ◽

Beam Equation ◽

Elastic Beam Equation ◽

Monotone Positive Solutions

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Monotone Positive Solutions for Singular Third-Order m-Point Boundary Value Problems

Communications in Computer and Information Science - Information Computing and Applications ◽

10.1007/978-3-642-27503-6_1 ◽

2011 ◽

pp. 1-8 ◽

Cited By ~ 1

Author(s):

Hai-E Zhang ◽

Cheng Wang ◽

Wen-Feng Huo ◽

Guo-Ying Pang

Keyword(s):

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

Point Boundary ◽

Third Order ◽

Monotone Positive Solutions

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On the existence of monotone positive solutions of second order differential equations

Monatshefte für Mathematik ◽

10.1007/s00605-016-1015-9 ◽

2016 ◽

Vol 184 (4) ◽

pp. 505-517 ◽

Cited By ~ 1

Author(s):

Afgan Aslanov

Keyword(s):

Differential Equations ◽

Positive Solutions ◽

Second Order ◽

Second Order Differential Equations ◽

Monotone Positive Solutions

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Approximating Monotone Positive Solutions of a Nonlinear Fourth-Order Boundary Value Problem via Sum Operator Method

Mediterranean Journal of Mathematics ◽

10.1007/s00009-017-0844-7 ◽

2017 ◽

Vol 14 (2) ◽

Cited By ~ 3

Author(s):

Chengbo Zhai ◽

Chunrong Jiang ◽

Shunyong Li

Keyword(s):

Boundary Value Problem ◽

Positive Solutions ◽

Fourth Order ◽

Boundary Value ◽

Operator Method ◽

Monotone Positive Solutions

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Several Existence Theorems of Monotone Positive Solutions for Third-Order Multipoint Boundary Value Problems

Boundary Value Problems ◽

10.1155/2007/17951 ◽

2007 ◽

Vol 2007 ◽

pp. 1-9 ◽

Cited By ~ 5

Author(s):

Weihua Jiang ◽

Fachao Li

Keyword(s):

Boundary Value Problems ◽

Positive Solutions ◽

Existence Theorems ◽

Boundary Value ◽

Third Order ◽

Multipoint Boundary ◽

Multipoint Boundary Value Problems ◽

Monotone Positive Solutions

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Monotone positive solutions for singular boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00391-6 ◽

2002 ◽

Vol 146 (2) ◽

pp. 405-418 ◽

Cited By ~ 1

Author(s):

P.K. Palamides

Keyword(s):

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Monotone Positive Solutions

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Existence and uniqueness of monotone positive solutions for fractional higher-order BVPs

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj.2020.50.733 ◽

2020 ◽

Vol 50 (2) ◽

pp. 733-745

Author(s):

Mi Zhou

Keyword(s):

Positive Solutions ◽

Existence And Uniqueness ◽

Higher Order ◽

Monotone Positive Solutions

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