测度链上一类Volterra型积分方程在有界扰动下的稳定性分析  

Stability Analysis of a Kind of Volterra Type Integral Equations on Time Scales under Bounded Perturbations

作　　者：鲁梦怡 王琳琳[1] 樊永红[1] LU Mengyi WANG Linlin FAN Yonghong(School of Mathematics and Statistics Science, Ludong University, Yantai 264039, Chin)

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2017年第1期15-19,共5页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11201213,11371183);山东省自然科学基金(ZR2015AM026,ZR2013AM004);山东省高校科技发展计划(J15LI07)

摘　　要：本文研究了测度链上的一类Volterra型积分方程在两类有界扰动下零解的稳定性.通过利用Lyapunov直接法和一些不等式技巧,得到了测度链上一些关于零解稳定的充分条件.最后给出一个例子验证了主要结果的有效性.The stability of the zero solution of a kind of Voherra type integral equations with respect to two classes of bounded perturbations were studied on time scales. By using Lyapunov direct method and some inequality techniques, some sufficient conditions for the stabihty of zero solution for the model were established on time scales. Finally, an example was given to demonstrate the validity of the conditions of the main results.

关 键 词：测度链 VOLTERRA积分方程 LYAPUNOV直接法 稳定性 

分 类 号：O175.1[理学—数学]