Triple Positive Solutions for nth-Order Impulsive Differential Equations with Integral Boundary Conditions and p-Laplacian

被引：0

作者：

Peiluan Li

Yusen Wu

机构：

[1] Henan University of Science and Technology,School of Mathematics and Statistics

来源：

Results in Mathematics | 2012年 / 61卷

关键词：

Primary 34B15; Secondary 39A10; Boundary value problem; fixed point theorem; integral boundary conditions; positive solutions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study a class of nth-order boundary value problems for impulsive differential equations with integral boundary conditions and p-Laplacian. The Leray–Schauder fixed point theorem is used to investigate the existence of at least one positive solution. We also consider the existence of at least three positive solutions by using a fixed-point theorem in a cone due to Avery-Peterson. As an application, we give an example to demonstrate our results.

引用

页码：401 / 419

页数：18

共 50 条

[21] Asymptotics and oscillation of nth-order nonlinear differential equations with p-Laplacian like operators
Zhang, Shao-Yan
Wang, Qi-Ru
Agarwal, Ravi P.
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 16
[22] Asymptotics and oscillation of nth-order nonlinear differential equations with p-Laplacian like operators
Shao-Yan Zhang
Qi-Ru Wang
Ravi P Agarwal
[J]. Advances in Difference Equations, 2015
[23] Multiple Positive Solutions for One Dimensional Third Order p-Laplacian Equations with Integral Boundary Conditions
You-yuan YANG
Qi-ru WANG
[J]. Acta Mathematicae Applicatae Sinica, 2022, 38 (01) : 116 - 127
[24] Multiple Positive Solutions for Second-Order p-Laplacian Dynamic Equations with Integral Boundary Conditions
Li, Yongkun
Zhang, Tianwei
[J]. BOUNDARY VALUE PROBLEMS, 2011,
[25] Multiple Positive Solutions for One Dimensional Third Order p-Laplacian Equations with Integral Boundary Conditions
You-yuan Yang
Qi-ru Wang
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2022, 38 : 116 - 127
[26] Multiple Positive Solutions for One Dimensional Third Order p-Laplacian Equations with Integral Boundary Conditions
Yang, You-yuan
Wang, Qi-ru
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2022, 38 (01): : 116 - 127
[27] Positive solutions for second order impulsive differential equations with integral boundary conditions
Hao, Xinan
Liu, Lishan
Wu, Yonghong
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (01) : 101 - 111
[28] Existence of positive solutions for nth-order p-Laplacian singular super-linear boundary value problems
Wei, Zhongli
[J]. APPLIED MATHEMATICS LETTERS, 2015, 50 : 133 - 140
[29] Triple positive solutions of nth order impulsive integro-differential equations
Qiu, Zeyong
Hong, Shihuang
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (57) : 1 - 13
[30] Positive Solutions for Singular p-Laplacian Fractional Differential System with Integral Boundary Conditions
Wang, Liping
Zhou, Zongfu
Zhou, Hui
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →