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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

作     者:Jinjun Fan Fangfang Han 

作者机构:School of Mathematical Science Shandong Normal University 

出 版 物:《Annals of Differential Equations》 (微分方程年刊(英文版))

年 卷 期:2014年第30卷第3期

页      面:282-290页

学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基  金:supported by Innovation Project for Graduate Education of Shandong Province(SDYY10058) 

主  题:positive solutions time scales dynamic equations fixed point theorem 

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 *** 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.

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