## Existence of global solutions to differential inclusions; a priori bounds.(English)Zbl 1265.34044

Summary: The paper presents an existence result for global solutions to the finite dimensional differential inclusion $$y'\in F(y)$$, $$F$$ being defined on a closed set $$K$$. A priori bounds for such solutions are provided.

### MSC:

 34A60 Ordinary differential inclusions 34C11 Growth and boundedness of solutions to ordinary differential equations

### Keywords:

differential inclusion; global solution; a priori bound
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