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.
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收藏
页数：12
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