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Article Contents

# Pursuit-evasion games with state constraints: dynamic programming and discrete-time approximations

• In this paper we study the boundary value problem for the Hamilton-Jacobi-Isaacs equation of pursuit-evasion differential games with state constraints. We prove existence of a continuous viscosity solution and a comparison theorem that we apply to establish uniqueness of such a solution and its uniform approximation by solutions of discretized equations.
Mathematics Subject Classification: 35F30, 49L20, 49L25.

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