Asymptotic stability for impulsive functional differential equations

doi:10.1007/s10483-009-1011-z

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (10): 1317-1324.doi: https://doi.org/10.1007/s10483-009-1011-z

Asymptotic stability for impulsive functional differential equations

罗治国罗艳

Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China

收稿日期:2009-01-21 修回日期:2009-06-29 出版日期:2009-10-01 发布日期:2009-10-01

Asymptotic stability for impulsive functional differential equations

LUO Zhi-Guo, LUO Yan

Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China

Received:2009-01-21 Revised:2009-06-29 Online:2009-10-01 Published:2009-10-01

摘要/Abstract

摘要： In this paper, we investigate the stability of a class of impulsive functional differential equations by using Lyapunov functional and Jensen’s inequality. Some new stability theorems are obtained. Examples are given to demonstrate the advantage of the obtained results.

关键词: stability, impulsive functional differential equation, Lyapunov functional, Jensen’s inequality

Abstract: In this paper, we investigate the stability of a class of impulsive functional differential equations by using Lyapunov functional and Jensen’s inequality. Some new stability theorems are obtained. Examples are given to demonstrate the advantage of the obtained results.

Key words: stability, impulsive functional differential equation, Lyapunov functional, Jensen’s inequality

中图分类号:

34D20
34K20

罗治国罗艳. Asymptotic stability for impulsive functional differential equations[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(10): 1317-1324.

LUO Zhi-Guo;LUO Yan. Asymptotic stability for impulsive functional differential equations[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(10): 1317-1324.

[1]	N. HUMNEKAR, D. SRINIVASACHARYA. Influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 563-580.
[2]	Haitao LI, Tianyu ZHENG, Weiyang QIN, Ruilan TIAN, Hu DING, J. C. JI, Liqun CHEN. Theoretical and experimental study of a bi-stable piezoelectric energy harvester under hybrid galloping and band-limited random excitations[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 461-478.
[3]	Haiyang WU, Jiangfeng LOU, Biao ZHANG, Yuntong DAI, Kai LI. Stability analysis of a liquid crystal elastomer self-oscillator under a linear temperature field[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(2): 337-354.
[4]	Chen ZHAO, Zhenli CHEN, C. T. MUTASA, Dong LI. Effects of layer interactions on instantaneous stability of finite Stokes flows[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(1): 69-84.
[5]	M. HAMID, M. USMAN, Zhenfu TIAN. Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 669-692.
[6]	A. V. ROŞCA, N. C. ROŞCA, I. POP. Three-dimensional mixed convection stagnation-point flow past a vertical surface with second-order slip velocity[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 641-652.
[7]	Peng WANG, Shaopu YANG, Yongqiang LIU, Pengfei LIU, Xing ZHANG, Yiwei ZHAO. Research on hunting stability and bifurcation characteristics of nonlinear stochastic wheelset system[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(3): 431-446.
[8]	Xiang KANG, Yujin TONG, Wei WU, Xingzhe WANG. Transient multi-physics behavior of an insert high temperature superconducting no-insulation coil in hybrid superconducting magnets with inductive coupling[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 255-272.
[9]	Pei ZHANG, P. SCHIAVONE, Hai QING. Dynamic stability analysis of porous functionally graded beams under hygro-thermal loading using nonlocal strain gradient integral model[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(12): 2071-2092.
[10]	Zilong GUO, Qiao NI, Wei CHEN, Huliang DAI, Lin WANG. Dynamic analysis and regulation of the flexible pipe conveying fluid with a hard-magnetic soft segment[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(9): 1415-1430.
[11]	P. Z. S. PAZ, F. R. CUNHA, Y. D. SOBRAL. Stability of plane-parallel flow of magnetic fluids under external magnetic flelds[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(2): 295-310.
[12]	Xinlei LI, Jianfei WANG. Effects of layer number and initial pressure on continuum-based buckling analysis of multi-walled carbon nanotubes accounting for van der Waals interaction[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(12): 1857-1872.
[13]	Cheng LI, Chengxiu ZHU, C. W. LIM, Shuang LI. Nonlinear in-plane thermal buckling of rotationally restrained functionally graded carbon nanotube reinforced composite shallow arches under uniform radial loading[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(12): 1821-1840.
[14]	H. V. TUNG, L. T. N. TRANG. Nonlinear stability of advanced sandwich cylindrical shells comprising porous functionally graded material and carbon nanotube reinforced composite layers under elevated temperature[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(9): 1327-1348.
[15]	U. S. VEVEK, B. ZANG, T. H. NEW. A carbuncle cure for the Harten-Lax-van Leer contact (HLLC) scheme using a novel velocity-based sensor[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(9): 1259-1278.

Asymptotic stability for impulsive functional differential equations

Asymptotic stability for impulsive functional differential equations

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价