Positive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales

被引：6

作者：

Song, Changxiu ^{[1
]}

Gao, Xuejun ^{[1
]}

机构：

[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Guangdong, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2011年

关键词：

BOUNDARY-VALUE-PROBLEMS; FINITE-DIFFERENCE EQUATIONS; EXISTENCE;

D O I：

10.1155/2011/279752

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors study the boundary value problems for a p-Laplacian functional dynamic equation on a time scale, [phi(p)(x(Delta del)(t))](del) + a(t)f(x(t), x(mu(t))) = 0, t is an element of (0,T), x(0)(t) = psi(t), t is an element of [-r, 0], x(Delta)(0) = x(Delta del)(0) = 0, x(T) + B(0)(x(Delta)(eta)) = 0. By using the twin fixed-point theorem, sufficient conditions are established for the existence of twin positive solutions.

引用

页数：11

共 50 条

[21] Positive solutions for one-dimensional third-order p-Laplacian boundary value problems
Yan Sun
Advances in Difference Equations, 2017
[22] Positive solutions for one-dimensional third-order p-Laplacian boundary value problems
Sun, Yan
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[23] Positive Periodic Solutions of Singular Third-Order Functional Differential Equations with p-Laplacian-Like Operators
Kong, Fanchao
Lu, Shiping
MATHEMATICAL NOTES, 2020, 107 (5-6) : 759 - 769
[24] Positive solutions for third-order Sturm-Liouville boundary value problems with p-Laplacian
Yang, Chen
Yan, Jurang
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) : 2059 - 2066
[25] Positive solutions to P-Laplacian multi-point BVPs on time scales
Li, Subei
Su, You-hui
Feng, Zhaosheng
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2010, 7 (01) : 45 - 64
[26] Positive Solutions for Third Order Boundary Value Problems with p-Laplacian
Lingju Kong
Daxiong Piao
Linshan Wang
Results in Mathematics, 2009, 55 : 111 - 128
[27] POSITIVE SOLUTIONS FOR THIRD-ORDER STURM-LIOUVILLE BOUNDARY-VALUE PROBLEMS WITH p-LAPLACIAN
Zhai, Chengbo
Guo, Chunmei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[28] On nonoscillatory solutions tending to zero of third-order nonlinear dynamic equations on time scales
Qiu, Yang-Cong
ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 15
[29] Positive solutions of m-point integral boundary value problems for second-order p-Laplacian dynamic equations on time scales
Thiramanus, Phollakrit
Tariboon, Jessada
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[30] On nonoscillatory solutions tending to zero of third-order nonlinear dynamic equations on time scales
Yang-Cong Qiu
Advances in Difference Equations, 2016

← 1 2 3 4 5 →