Upper and lower solution method for n th-order BVPs on an infinite interval

Boundary value problems

Ravi P Agarwal¹  Hairong Lian³  Junfang Zhao³ 

[1] Department of Mathematics, Texas A&M University-Kingsville, Kingsville, USA;School of Science, China University of Geosciences, Beijing, PR China

关键词: higher order;    boundary value problem;    half-line;    upper solution;    lower solution;   

DOI  :  10.1186/1687-2770-2014-100

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This work is devoted to the study of n th-order ordinary differential equations on a half-line with Sturm-Liouville boundary conditions. The existence results of a solution, and triple solutions, are established by employing a generalized version of the upper and lower solution method, the Schäuder fixed point theorem, and topological degree theory. In our problem the nonlinearity depends on derivatives, and we allow solutions to be unbounded, which is an extra interesting feature. MSC:34B15, 34B40.

【 授权许可】

CC BY