SINGULAR PERTURBATIONS OF ROBIN BOUNDARY VALUE PROBLEMS FOB SEMILINEAR SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (9): 835-839.

SINGULAR PERTURBATIONS OF ROBIN BOUNDARY VALUE PROBLEMS FOB SEMILINEAR SYSTEMS

章国华¹, 林宗池²

1. Department of Mathematics, The University of Calgary, Canada;
2. Department of Mathematics, Fujian Normal University, China

收稿日期:1984-11-15 出版日期:1985-09-18 发布日期:1985-09-18

SINGULAR PERTURBATIONS OF ROBIN BOUNDARY VALUE PROBLEMS FOB SEMILINEAR SYSTEMS

K. W. Chang¹, Lin Zong-chi ²

1. Department of Mathematics, The University of Calgary, Canada;
2. Department of Mathematics, Fujian Normal University, China

Received:1984-11-15 Online:1985-09-18 Published:1985-09-18

摘要/Abstract

摘要： In this paper, we study the singular perturbations of Robin boundary value problems for semilinear systems using the method and technique of differential inequalities. We assume that the corresponding reduced system has at least one solution which is Iq -stable. This "component-wise" Iq-stability condition will allow us to obtain estimates for each component of the solution.

关键词: electrortheological fluid, response time, dynamic model

Abstract: In this paper, we study the singular perturbations of Robin boundary value problems for semilinear systems using the method and technique of differential inequalities. We assume that the corresponding reduced system has at least one solution which is Iq -stable. This "component-wise" Iq-stability condition will allow us to obtain estimates for each component of the solution.

Key words: electrortheological fluid, response time, dynamic model

章国华;林宗池. SINGULAR PERTURBATIONS OF ROBIN BOUNDARY VALUE PROBLEMS FOB SEMILINEAR SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(9): 835-839.

K. W. Chang;Lin Zong-chi . SINGULAR PERTURBATIONS OF ROBIN BOUNDARY VALUE PROBLEMS FOB SEMILINEAR SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(9): 835-839.

[1]	Yongqiang LIU, Baosen WANG, Shaopu YANG, Yingying LIAO, Tao GUO. Characteristic analysis of mechanical thermal coupling model for bearing rotor system of high-speed train[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(9): 1381-1398.
[2]	Deshun LI, Tao GUO, Rennian LI, Congxin YANG, Zhaoxue CHENG, Ye LI, Wenrui HU. A nonlinear model for aerodynamic configuration of wake behind horizontal-axis wind turbine[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(9): 1313-1326.
[3]	Zhou YU, Hongda ZHANG, Taohong YE, Minming ZHU. Large eddy simulation of turbulent premixed piloted flame using artificial thickened flame model coupled with tabulated chemistry[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(9): 1277-1294.
[4]	Xiaofeng LIU, Qishuai WANG, Haiquan LI, Guoping CAI. Dynamics and control of variable geometry truss manipulator[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(2): 243-262.
[5]	Zhenyu ZHANG, Ning ZHAO, Wei ZHONG, Long WANG, Bofeng XU. Progresses in application of computational fluid dynamic methods to large scale wind turbine aerodynamics[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(S1): 21-30.
[6]	章定国肖建强. A DYNAMIC MODEL FOR ROCKET LAUNCHER WITH COUPLED RIGID AND FLEXIBLE MOTION[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(5): 609-.
[7]	吕念春;程云虹;胥红敏;程靳;唐立强. DYNAMIC CRACK MODELS ON PROBLEM OF BRIDGING FIBER PULL-OUT OF COMPOSITE MATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(10): 1194-1202.
[8]	李自珍;王万雄;徐彩琳. DYNAMIC MODEL OF CROP GROWTH SYSTEM AND NUMERICAL SIMULATION OF CROP GROWTH PROCESS UNDER THE MULTI-ENVIRONMENT EXTERNAL FORCE ACTION[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(6): 727-737.
[9]	刘玉岚;王彪;王殿富. A THEORETICAL MODELLING OF THE CHAIN STRUCTURE FORMATION IN ELECTRORHEOLOGICAL FLUIDS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(4): 385-395.
[10]	李书;张放;王波;张晓谷. PROPER APPLICATION OF A KIND OF MATRIX CON-STRUCTION METHOD IN PHYSICAL PARAMETER IDENTIFICATION OF DYNAMIC MODEL[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(5): 606-613.
[11]	李书;卓家寿;任青文. PARAMETER IDENTIFICATION OF DYNAMIC MODELS USING A BAYES APPROACH[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(4): 447-454.
[12]	龚洪瑞;陈十一;何国威;曹念铮. A SECOND-ORDER DYNAMIC SUBGRID-SCALE STRESS MODEL[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(2): 165-172.
[13]	赵育善;谷良贤. GENERALIZED DYNAMIC MODEL FOR MULTIBODIES MANIPULATOR[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(9): 873-877.

SINGULAR PERTURBATIONS OF ROBIN BOUNDARY VALUE PROBLEMS FOB SEMILINEAR SYSTEMS

SINGULAR PERTURBATIONS OF ROBIN BOUNDARY VALUE PROBLEMS FOB SEMILINEAR SYSTEMS

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 13

编辑推荐

Metrics

本文评价