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EXISTENCE OF POSITIVE SOLUTIONS TO A THREE-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER DYNAMIC EQUATIONS WITH DERIVATIVE ON TIME SCALES

EXISTENCE OF POSITIVE SOLUTIONS TO A THREE-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER DYNAMIC EQUATIONS WITH DERIVATIVE ON TIME SCALES
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摘要 In this paper, we consider the existence of positive solutions to a three-point boundary value problem for second order dynamic equations with derivative on time scales.Applying Leggett-Williams fixed point theorem, we obtain at least three positive solutions to the problem. An example is also presented to illustrate the applications of the results obtained. In this paper, we consider the existence of positive solutions to a three-point boundary value problem for second order dynamic equations with derivative on time scales.Applying Leggett-Williams fixed point theorem, we obtain at least three positive solutions to the problem. An example is also presented to illustrate the applications of the results obtained.
作者 Jinjun Fan Fangfang Han
机构地区 School of Mathematical Science
出处 《Annals of Differential Equations》 2014年第3期282-290,共9页 微分方程年刊（英文版）
基金 supported by Innovation Project for Graduate Education of Shandong Province(SDYY10058)
关键词 positive solutions time scales dynamic equations fixed point theorem positive solutions time scales dynamic equations fixed point theorem
分类号 O241.8 [理学—计算数学]
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Annals of Differential Equations
2014年 第3期

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