  In this paper we study a class of HJB equations which solve for equilibria
for general time-inconsistent deterministic linear quadratic control problems
within the intra-personal game theoretic framework, where the inconsistency
arises from non-exponential discount functions. We characterize the solutions
to the HJB equations using a class of Riccati equations with integral terms. By
studying the uniqueness of solutions to the integro-differential Riccati
equations, we prove the uniqueness of solutions to the equilibrium HJB
equations.
