Classifications and existence criteria for positive solutions of systems of nonlinear differential equations

被引：3

作者：

Li, WT ^{[1
]}

Yang, XJ

机构：

[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu, Peoples R China

[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 298卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonlinear differential systems; positive solutions; classification scheme; existence; fixed point theorems;

D O I：

10.1016/j.jmaa.2004.05.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Classification schemes for positive solutions of a class of second order nonlinear differential systems are given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of these solutions are also provided. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：446 / 462

页数：17

共 50 条

[31] A necessary and sufficient condition of existence of positive solutions for nonlinear singular differential systems
Zhang, Xinguang
Liu, Lishan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) : 400 - 414
[32] Existence criteria for positive solutions of p-Laplacian fractional differential equations with derivative terms
Su, Ying
Li, Qing
Liu, Xi-Lan
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[33] Positive solutions for nonlinear Hadamard fractional differential equations with integral boundary conditions
Ardjouni, Abdelouaheb
AIMS MATHEMATICS, 2019, 4 (04): : 1101 - 1113
[34] Existence criteria for positive solutions of p-Laplacian fractional differential equations with derivative terms
Ying Su
Qing Li
Xi-Lan Liu
Advances in Difference Equations, 2013
[35] Existence of Oscillatory Solutions of Singular Nonlinear Differential Equations
Rachunkova, Irena
Rachunek, Lukas
Tomecek, Jan
ABSTRACT AND APPLIED ANALYSIS, 2011,
[36] Existence of solutions of nonlinear fractional differential equations at resonance
Rui, Wenjuan
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (66) : 1 - 12
[37] Existence and multiplicity of solutions for nonlinear fractional differential equations
Marasi, Hamidreza
Piri, Hossein
Aydi, Hassen
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4639 - 4646
[38] On positive solutions for a class of singular nonlinear fractional differential equations
Jleli, Mohamed
Samet, Bessem
BOUNDARY VALUE PROBLEMS, 2012,
[39] EXISTENCE OF NONOSCILLATORY SOLUTIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS
Ilavska, Iveta
Najmanova, Anna
Olach, Rudolf
APLIMAT 2009: 8TH INTERNATIONAL CONFERENCE, PROCEEDINGS, 2009, : 159 - 164
[40] Existence and uniqueness of positive solutions for first-order nonlinear Liouville-Caputo fractional differential equations
Ardjouni, Abdelouaheb
Djoudi, Ahcene
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2020, 14 (01): : 381 - 390

← 1 2 3 4 5 →