Annali di Matematica Pura ed Applicata

, Volume 96, Issue 1, pp 217–231 | Cite as

Asymptotic self invariant sets and functional differential equations in Banach spaces

  • P. S. Kamala
  • V. Lakshmikantham


The stability properties of asymptotically self-invariant sets of functional differential equations in a Banach space are discussed using a nonlinear variation of constants formula analogous to Alekseev's formula in Euclidean spaces and Lyapunov functions.


Differential Equation Banach Space Euclidean Space Lyapunov Function Stability Property 
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Copyright information

© Nicola Zanichelli Editore 1973

Authors and Affiliations

  • P. S. Kamala
    • 1
  • V. Lakshmikantham
    • 1
  1. 1.KingstonU.S.A.

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