Positive Solutions of Complementary Lidstone Boundary Value Problems

被引：0

作者：

Agarwal, Ravi P. ^{[1
,2
]}

Wong, Patricia J. Y. ^{[3
]}

机构：

[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[3] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 60期

关键词：

Derivative dependence; positive solutions; complementary Lidstone boundary value problems; SHARP ERROR-BOUNDS; DERIVATIVES; INTERPOLATION; POLYNOMIALS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the following complementary Lidstone boundary value problem (-1)(m) y((2m+1)) (l) = F(l, y(l), y'(l)), l is an element of [0, 1] y(0) = 0, y ((2k-1))(0) = y((2k-1))(1) = 0, 1 <= k <= m. The nonlinear term F depends on y' and this derivative dependence is seldom investigated in the literature. Using a variety of fixed point theorems, we establish the existence of one or more positive solutions for the boundary value problem. Examples are also included to illustrate the results obtained.

引用

页码：1 / 20

页数：20

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