关于一类偶阶中立型时滞微分不等式最终正解的不存在性的注记  

Notes on Non-existence of Eventually Positive Solutions to a Class of Even Order Neutral Time Delay Differential Inequalities

作　　者：林文贤 杨雯抒[2] 

机构地区：[1]韩山师范学院数学与统计学院,广东潮州521041 [2]嘉应学院数学学院,广东梅州514015

出　　处：《海南热带海洋学院学报》2017年第5期50-55,91,共7页Journal of Hainan Tropical Ocean University

基　　金：广东省高等学校特色创新项目(2014GXJK125);广东省高等教育教学改革项目(GDJG20142396)

摘　　要：利用广义Riccati变换、积分平均技巧及直接分析方法,研究一类具连续偏差变元与阻尼项的偶数阶中立型时滞微分不等式,得到了该时滞微分不等式没有最终正解的一些新的充分条件,所得定理拓广和改进了最近文献的结论.A class of even order neutral functional differential inequalities with a damping term and continuous distributed deviating arguments was considered.By adopting the generalized Riccati transformation,integral average technique and direct analysis,several new results related to the nonexistence criteria for eventually positive solutions to such inequalities were developed.The works generalize various existing results.

关 键 词：最终正解 阻尼项 时滞微分不等式 

分 类 号：O175.13[理学—数学]