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In this paper, we investigate the existence and uniqueness of a stabilizing solution to a periodic backward nonlinear differential equation. This class of nonlinear equations includes as special cases many of the continuous-time Riccati equations arising both in deterministic and stochastic linear quadratic (LQ) type control problems. Mathematics Subject Classification (2010): 49N10, 93E20.

"A spectral criterion for the existence of the stabilizing solution of a class of Riccati type differential equations with periodic coefficients"