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时标上具有正负项的非线性中立型动力方程非振动解的存在性
引用本文:邸聪娜,李民良,王莹,张丽超.时标上具有正负项的非线性中立型动力方程非振动解的存在性[J].西南师范大学学报(自然科学版),2011,36(2).
作者姓名:邸聪娜  李民良  王莹  张丽超
作者单位:河北科技师范学院数学与信息科技学院,河北秦皇岛,066004
摘    要:研究时标T上的一类二阶非线性中立型动力方程,针对p的不同取值分别构造映射,给出非振动解存在性的充分条件,推广了已有的相关结果.

关 键 词:时标  非线性动力方程  中立型项  正负项  非振动解

The Existence of Nonoscillatory Solutions for the Second Order Nonlinear Neutral Dynamic Equations with Positive and Negative Terms on Times Scales
DI Cong-na,LI Min-liang,WANG Ying,ZHANG Li-chao.The Existence of Nonoscillatory Solutions for the Second Order Nonlinear Neutral Dynamic Equations with Positive and Negative Terms on Times Scales[J].Journal of Southwest China Normal University(Natural Science),2011,36(2).
Authors:DI Cong-na  LI Min-liang  WANG Ying  ZHANG Li-chao
Institution:DI Cong-na,LI Min-liang,WANG Ying,ZHANG Li-chao College of Mathematics and Information Technology,Hebei Normal University of Science & Technology,Qinghuangdao Hebei 066004,China
Abstract:Considering the existence of nonoscillatory solutions for the second order nonlinear dynamic equation on times scales,and by defining different mappings,sufficient conditions are obtained for the existence of nonoscillatory solutions of the equations,which extend the corresponding results in the literature.
Keywords:time scales  nonlinear dynamic equations  neutral term  positive and negative terms  nonoscillatory solution  
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