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On a non-convex hyperbolic differential inclusion

Published online by Cambridge University Press:  20 January 2009

Vasile Staicu
Vasile Staicu
Affiliation:
International School for Advanced StudiesStrada Costiera II.34014 TriesteItaly
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We prove the existence of a solution u(.,.;α,β) of the Darboux problem uxy∈F(x, y, u), u(x,0) = α(x), u(0, y) = β(y), which is continuous with respect to (α,β). We assume that F is Lipschitzean with respect to u but not necessarily convex valued.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 3 , October 1992 , pp. 375 - 382
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

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