Positive Solutions for Four-Point Boundary Value Problem Involving the p(t)-Laplacian

被引：0

作者：

Ji, Dehong ^{[1
]}

机构：

[1] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2016年 / 15卷 / 01期

关键词：

Positive solutions; Four-point boundary value problem; p(t)-Laplacian; Fixed point index; EXISTENCE;

D O I：

10.1007/s12346-015-0139-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by means of the computation of fixed point index, we obtain the existence of positive solutions for four-point boundary value problem involving the p(t)-Laplacian (phi(t, u'(t)))' + f(t, u(t)) = 0, t is an element of (0, 1), u'(0) = alpha u'(xi), u(1) = beta u(eta), where phi(t, x) = vertical bar x vertical bar(p(t)-2) x, p is an element of C([0, 1], (1, +infinity)), alpha, beta, xi, eta is an element of (0, 1), xi > eta, p(0) = p(xi), f is an element of C([0, 1] x [0, +infinity), [0, +infinity)).

引用

页码：39 / 48

页数：10

共 50 条

[1] Positive solutions for a four-point boundary value problem with the p-Laplacian
Lian, Hairong
Ge, Weigao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (11) : 3493 - 3503
[2] Existence of Solutions for a Four-point Boundary Value Problem with a p(t)-Laplacian
LI YUAN-XIAO
GAO WEN-JIE
SONG WEN-JING
[J]. Communications in Mathematical Research, 2015, 31 (01) : 23 - 30
[3] Positive solutions of singular four-point boundary value problem with p-Laplacian
Miao, Chunmei
Pang, Huihui
Ge, Weigao
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (42) : 1 - 16
[4] Existence of positive solutions for singular four-point boundary value problem with a p-Laplacian
Chunmei Miao
Junfang Zhao
Weigao Ge
[J]. Czechoslovak Mathematical Journal, 2009, 59 : 957 - 973
[5] EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FOUR-POINT BOUNDARY VALUE PROBLEM WITH A p-LAPLACIAN
Miao, Chunmei
Zhao, Junfang
Ge, Weigao
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2009, 59 (04) : 957 - 973
[6] On the number of positive solutions for a four-point boundary value problem with generalized Laplacian
Tingzhi Cheng
Xianghui Xu
[J]. Journal of Fixed Point Theory and Applications, 2021, 23
[7] On the number of positive solutions for a four-point boundary value problem with generalized Laplacian
Cheng, Tingzhi
Xu, Xianghui
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2021, 23 (03)
[8] The Existence of Triple Positive Solutions of Nonlinear Four-point Boundary Value Problem with p-Laplacian
Li, Xiang-feng
Zhao, Pei-hao
[J]. TURKISH JOURNAL OF MATHEMATICS, 2009, 33 (02) : 131 - 142
[9] Multiple positive solutions for a class of nonlinear four-point boundary value problem with p-Laplacian
Li Xiang-feng
[J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2008, 23 (02): : 143 - 150
[10] Multiple positive solutions for a class of nonlinear four-point boundary value problem with p-Laplacian
Xiang-feng Li
[J]. Applied Mathematics-A Journal of Chinese Universities, 2008, 23 : 143 - 150

← 1 2 3 4 5 →