Existence of Positive Solutions for Higher Order Boundary Value Problem on Time Scales 被引量：2

Existence of Positive Solutions for Higher Order Boundary Value Problem on Time Scales

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摘要 In this paper, we investigate the existence of positive solutions of a class higher order boundary value problems on time scales. The class of boundary value problems educes a four-point （or three-point or two-point） boundary value problems, for which some similar results are established. Our approach relies on the Krasnosel＇skii fixed point theorem. The result of this paper is new and extends previously known results. In this paper, we investigate the existence of positive solutions of a class higher order boundary value problems on time scales. The class of boundary value problems educes a four-point （or three-point or two-point） boundary value problems, for which some similar results are established. Our approach relies on the Krasnosel＇skii fixed point theorem. The result of this paper is new and extends previously known results.

作者 Xie Da-peng Liu Yang Sun Ming-zhe Li Yong

机构地区 Department of Mathematics Department of Mathematics

出处《Communications in Mathematical Research》 CSCD 2013年第1期1-13,共13页 数学研究通讯（英文版）

基金 The NSF (11201109) of China the NSF (10040606Q50) of Anhui Province Excellent Talents Foundation (2012SQRL165) of University of Anhui Province the NSF (2012kj09) of Heifei Normal University

关键词 higher order boundary value problem positive solution SEMIPOSITONE on time scale fixed point higher order boundary value problem, positive solution, semipositone, on time scale, fixed point

分类号 O175.8 [理学—基础数学]

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