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Mathematical systems theory

, Volume 9, Issue 3, pp 308–314 | Cite as

Asymptotic equilibrium of ordinary differential systems in a Banach space

  • A. Richard Mitchell
  • Roger W. Mitchell
Article
  • 49 Downloads

Abstract

The asymptotic equilibrium of differential systems in Euclidean spaces has been considered by several authors. These papers deal with a majorant function,g(t, u), which is either non-decreasing or non-increasing inu for eacht. In extending these results to differential systems in a Banach space additional conditions must be placed on the system. In this paper the Kuratowski measure of non-compactness is used to give conditions yielding asymptotic equilibrium of the system in a Banach space.

Keywords

Banach Space Computational Mathematic Euclidean Space Additional Condition Differential System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Swets & Zeitlinger B.V. 1975

Authors and Affiliations

  • A. Richard Mitchell
    • 1
  • Roger W. Mitchell
    • 1
  1. 1.Department of MathematicsThe University of Texas at ArlingtonArlingtonUSA

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