Existence of Positive Solutions for Higher Order p-Laplacian Boundary Value Problems

被引：5

作者：

Prasad, K. R. ^{[1
]}

Sreedhar, N. ^{[2
]}

Wesen, L. T. ^{[3
]}

机构：

[1] Andhra Univ, Dept Appl Math, Visakhapatnam 530003, Andhra Pradesh, India

[2] GITAM, Dept Math, Visakhapatnam 530045, Andhra Pradesh, India

[3] Jimma Univ, Dept Math, Jimma 378, Oromia, Ethiopia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 01期

关键词：

Green's function; p-Laplacian; Boundary value problem; Positive solution; Cone; Fixed point index theory; MULTIPLICITY; EIGENVALUES;

D O I：

10.1007/s00009-017-1064-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a higher order p-Laplacian boundary value problem (-1)(n) [phi(p)(u((2n-2)) + k(2) u((2n-4)))]'' = f(t, u), 0 <= t <= 1, u((2i))(0) = 0 = u((2i))(1), 0 <= i <= n - 1, where n >= 1 and k is an element of (0, pi/2) is a constant. By applying fixed point index theory, we derive sufficient conditions for the existence of positive solutions to the boundary value problem.

引用

页数：12

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