Viable solutions of differential inclusions on closed sets

Abstract

This article studies the existence of viable solutions to the Cauchy problem u′ ∈ ϕ (t , u) for a.e. t∈ [0,1], u (0)=x ₀ ∈ K (a closed subset of R ^N ) where the nonlinearity ϕ satisfies a Wintner-type growth condition.

Keywords:

• Viable solutions
• Differential inclusion
• Cauchy problem
• Wintner-type growth
• AMS Subject Classification: 34G25

Notes

E-mail: [email protected]

Additional information

Notes on contributors

Donal O'Regan †

E-mail: [email protected]