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

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