Ukrainian Mathematical Journal

, Volume 47, Issue 4, pp 617–621 | Cite as

On solutions of hyperbolic differential inclusions with nonconvex right-hand side

  • A. N. Vityuk
Brief Communications


The existence of a generalized solution with continuous derivativesu x ,u y is proved for the differential inclusionu xy F(x, y, u) with a nonconvex right-hand side satisfying the Lipschitz conditioninx, y, andu.


Generalize Solution Differential Inclusion Hyperbolic Differential Inclusion 
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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • A. N. Vityuk
    • 1
  1. 1.Odessa UniversityOdessa

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