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.