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Position: Home > Articles > Positive Solutions of Boundary Value Problem for Second Order Dynamic Equations on Time Scales Journal of Hebei Normal University of Science & Technology 2017,31 (1) 24-28

时标上二阶动力方程边值问题的正解

作  者:
张娟;武利猛;申玉发;马聪聪
单  位:
河北科技师范学院数学与信息科技学院;河北科技师范学院财务处
关键词:
时标;动力方程;边值问题;正解;twin不动点定理
摘  要:
在现有时标理论的基础上,借助于锥中twin不动点定理,对一类二阶动力方程边值问题解的存在性进行了探讨,得到了至少存在2个正解的判别准则,同时给出实例验证了主要结果。
译  名:
Positive Solutions of Boundary Value Problem for Second Order Dynamic Equations on Time Scales
作  者:
ZHANG Juan;WU Limeng;SHEN Yufa;MA Congcong;Department of Finance,Hebei Normal University of Science & Technology;School of Mathematics and Information Technology,Hebei Normal University of Science & Technology;
关键词:
time scales;;dynamic equations;;boundary value problem;;positive solution;;twin fixed point theorem
摘  要:
In this paper,a class of second order dynamic equations on time scales was discussed by means of a twin fixed point theorem in cone on the basis of the present time scales theory. A criterion for the existence of at least two positive solutions for the dynamic equations on time scales was established. Meanwhile,an example was showed to verify the main results.

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