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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (6): 619-629.

• 论文 •    下一篇

GLOBAL SOLUTIONS OF SYSTEMS OF NONLINEAR IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES

陈芳启1,2, 陈予恕2   

  1. 1. Department of Mathematics, Tianjin University, Tianjin 300072, P.R.China;
    2. Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China
  • 收稿日期:1999-11-01 修回日期:2000-11-23 出版日期:2001-06-18 发布日期:2001-06-18
  • 通讯作者: CHEN Yu-shu,Member of Editorial Committee,AMM
  • 基金资助:
    the National Natural Science Foundation of China (19990510);the Doctor Foundation of Education Committee of China (D09901)

GLOBAL SOLUTIONS OF SYSTEMS OF NONLINEAR IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES

CHEN Fang-qi1,2, CHEN Yu-shu 2   

  1. 1. Department of Mathematics, Tianjin University, Tianjin 300072, P.R.China;
    2. Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China
  • Received:1999-11-01 Revised:2000-11-23 Online:2001-06-18 Published:2001-06-18
  • Supported by:
    the National Natural Science Foundation of China (19990510);the Doctor Foundation of Education Committee of China (D09901)

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摘要： The existence of solutions for systems of nonlinear impulsive Volterra integral equations on the infinite interval R+ with an infinite number of moments of impulse effect in Banach spaces is studied. Some existence theorems of extremal solutions are obtained, which extend the related results for this class of equations on a finite interval with a finite number of moments of impulse effect. The results are demonstrated by means of an example of an infinite systems for impulsive integral equations.

Abstract: The existence of solutions for systems of nonlinear impulsive Volterra integral equations on the infinite interval R+ with an infinite number of moments of impulse effect in Banach spaces is studied. Some existence theorems of extremal solutions are obtained, which extend the related results for this class of equations on a finite interval with a finite number of moments of impulse effect. The results are demonstrated by means of an example of an infinite systems for impulsive integral equations.

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