Existence Theorems with Convexity Assumptions

  • Leonard D. Berkovitz
Part of the Applied Mathematical Sciences book series (AMS, volume 12)


In this chapter we develop the basic existence theorems for problems in which a certain convexity condition is present. The key theorem on which the entire development is based is Theorem 4.1, which guarantees compactness of certain sets of trajectories together with a property related to lower-semicontinuity. Theorem 4.1 will also be used in Chapters 4 and 6.


State Equation Existence Theorem Lower Semicontinuous Admissible Control Admissible Pair 
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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Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • Leonard D. Berkovitz
    • 1
  1. 1.Division of Mathematical SciencesPurdue UniversityWest LafayetteUSA

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