时标上带有积分项的二阶半线性中立型动力方程的振动性  

Oscillation Properties of Second-order Semi-linear Neutral Dynamic Equations with Integral Terms on Time Scales under Regular Conditions

作　　者：解皓轩 邸聪娜[1] 赵紫诺 齐可新 XIE Haoxuan;DI Congna;ZHAO Zinuo;QI Kexin(School of Mathematics and Information Technology,Hebei Normal University of Science&Technology,Qinhuangdao Hebei,066004,China)

机构地区：[1]河北科技师范学院数学与信息科技学院,河北秦皇岛066004

出　　处：《河北科技师范学院学报》2025年第1期74-80,共7页Journal of Hebei Normal University of Science & Technology

基　　金：大学生创新创业计划项目(项目编号:S202310798031)。

摘　　要：利用广义Riccati变换和不等式技巧,给出时标上一类带有积分项的二阶半线性中立型动力方程在正则条件下的Hille型振动准则,并以实例论证了其有效性,所得结果推广和改善了已有文献中的结论。The Hille oscillation properties for second-order semi-linear neutral dynamic equations with integral terms on time scale is given under regular conditions by means of generalized Riccati transformation and inequality technique,which effectively promote the existing reference.

关 键 词：时标 正则条件 动力方程 振动性 

分 类 号：O175.8[理学—数学]