Annali di Matematica Pura ed Applicata

, Volume 69, Issue 1, pp 305–320 | Cite as

Generalized Lyapunov functions and functional equations

  • Philip Hartman


Some results of Minty and Browder on the existence of solutions of functional equations are generalized by replacing the notion of monotony by one involving a Lyapunov function. In the last section, analogous arguments are used to obtain an existence theorem for an initial value problem belonging to an ordinary differential equation on Hilbert space.


Differential Equation Hilbert Space Ordinary Differential Equation Functional Equation Lyapunov Function 
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Copyright information

© Nicola Zanichelli Editore 1965

Authors and Affiliations

  • Philip Hartman
    • 1
  1. 1.BaltimoreU.S.A.

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