数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (3): 265-280.

• 论文 • 上一篇    下一篇

STABILITY AND PERIODIC SOLUTIONS OF VOLTERRA INTEGRO-DIFFERENTIAL LARGE-SCALE SYSTEMS

斯力更, 马万彪   

  1. Dept. of Math., Inner Mongolia Norm. Univ., Huhhot, China
  • 收稿日期:1988-12-12 出版日期:1990-09-25 发布日期:1990-09-25
  • 基金资助:
    This project was supported by the National Natural Science Foundation of China.

STABILITY AND PERIODIC SOLUTIONS OF VOLTERRA INTEGRO-DIFFERENTIAL LARGE-SCALE SYSTEMS

Si Ligeng, Ma Wanbiao   

  1. Dept. of Math., Inner Mongolia Norm. Univ., Huhhot, China
  • Received:1988-12-12 Online:1990-09-25 Published:1990-09-25
  • Supported by:
    This project was supported by the National Natural Science Foundation of China.

摘要: In this paper, we establish first a vector integro-differential inequality. Then by using the intequlity and the variation of constants formula to obtain some sufficient algebraic criteria for the stability and periodic solutions of a class of Volterra integro-differential largo-scale systems. Finally, some simple examples of application are given.

Abstract: In this paper, we establish first a vector integro-differential inequality. Then by using the intequlity and the variation of constants formula to obtain some sufficient algebraic criteria for the stability and periodic solutions of a class of Volterra integro-differential largo-scale systems. Finally, some simple examples of application are given.