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MR1707137 (2001b:34015) 34A36 (34A40 34G20)
Biles, Daniel C.; Schechter, Eric Solvability of a finite or infinite system of discontinuous quasimonotone differential equations. Proc. Amer. Math. Soc. 128 (2000), no. 11, 3349–3360.
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