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Position: Home > Articles > The Existence of Positive Solution for Second-order Neutral Dynamic Equations on Times Scales Journal of Hebei Normal University of Science & Technology 2015,29 (2) 31-35

时标上的一类二阶中立型方程正解的存在性

作  者:
邸聪娜;邵香媛;王玉宽
单  位:
河北科技师范学院数学与信息科技学院
关键词:
时标;中立型;正解;非线性
摘  要:
考虑时标上具有正负系数的二阶非线性中立型动力方程正解的存在性,首先构造适当的时标上的连续算子,再利用Banach压缩映射原理,最后得出其正解存在的充分条件。
译  名:
The Existence of Positive Solution for Second-order Neutral Dynamic Equations on Times Scales
作  者:
DI Cong-na;SHAO xiang-yuan;WANG Yu-kuan;School of Mathematics and Information Science & Technology,Hebei Normal University of Science & Technology;
关键词:
time scales;;neutral term;;positive solution;;non-linear
摘  要:
This paper studied the existence of non-oscillatory solutions for the second-order nonlinear dynamic equations with the positive and negative coefficients. By defining continuous operators and using Banach fixed theorem on the time scales,the sufficient condition of the existence of positive oscillatory solutions for the above equations is obtained.

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