Skip to main content
Log in

On the initial value problems of first order impulsive differential systems

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The purpose of this paper is to study the existence and iterative approximation of minimax quasi-solutions for a class of initial value problems of first order impulsive differential systems by using monotone iterative methods.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. Lakshmikantham, D. D. Bainov and P. S. Simeonov,Theory of Impulsive Differential Equations, World Sci. Publishing Co., Singapore (1989).

    Google Scholar 

  2. M. Khavanin and V. Lakshmikantham, The method of mixed monotone and first order differential systems,Nonlinear Anal. TMA,10, 9 (1986), 873–877.

    Article  MATH  MathSciNet  Google Scholar 

  3. L. H. Erbe and X. Liu, Quasi-solutions of nonlinear impulsive equations in abstract cones,Appl. Anal.,34, 2 (1989), 231–250.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shisheng, Z., Fan, W. On the initial value problems of first order impulsive differential systems. Appl Math Mech 19, 303–308 (1998). https://doi.org/10.1007/BF02453394

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02453394

Key words

Navigation