Changlong Yu, Jufang Wang, Yanping Guo, Huixian Wei
Abstract:
In this article, we consider the existence of positive solutions
for a class of boundary value problems with integral boundary conditions
on infinite intervals
where
,
.
By applying the Avery-Peterson
fixed point theorem in a cone, we obtain the existence of three positive
solutions to the above boundary value problem and give an example at last.
Submitted July 5, 2012. Published September 18, 2012.
Math Subject Classifications: 34B18, 34B15.
Key Words: Cone; Avery-Peterson fixed point theorem; positive solution;
integral boundary conditions; infinite interval.
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Changlong Yu College of Sciences Hebei University of Science and Technology Shijiazhuang, 050018, China email: changlongyu@126.com | |
Jufang Wang College of Sciences Hebei University of Science and Technology Shijiazhuang, 050018, China email: wangjufang1981@126.com | |
Yanping Guo College of Sciences Hebei University of Science and Technology Shijiazhuang, 050018, China | |
Huixian Wei Department of Baise Shijiazhuang Institute of Railway Technology Shijiazhuang, 050041, China |
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