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


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.


Banach Space Computational Mathematic Euclidean Space Additional Condition Differential System 
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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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