Case (B) implies that there are three cases to occur:
(i) 2KD(h + p) − π2D2 > 0.
In this case, Eq. (19) is well-defined. Substituting (19) into (18), we get S¯1 < 0. Hence, (Q¯1, S¯1) does not exist.
(ii) 2KD(h + p) − π2D2 = 0.
In this case, Q¯1 = 0 and S¯1 = −πD
h+p < 0. Evidently, (Q¯1, ¯S1) does not exist.
(iii) 2KD(h + p) − π2D2 < 0.
In this case, Q¯1 is not well-defined. Eq. (18) implies that S¯1 does not exist. Obviously, (Q¯1, S¯1) does not exist.
Case (B) implies that there are three cases to occur:(i) 2KD(h + p) − π2D2 > 0.In this case, Eq. (19) is well-defined. Substituting (19) into (18), we get S¯1 < 0. Hence, (Q¯1, S¯1) does not exist.(ii) 2KD(h + p) − π2D2 = 0.In this case, Q¯1 = 0 and S¯1 = −πDh+p < 0. Evidently, (Q¯1, ¯S1) does not exist.(iii) 2KD(h + p) − π2D2 < 0.In this case, Q¯1 is not well-defined. Eq. (18) implies that S¯1 does not exist. Obviously, (Q¯1, S¯1) does not exist.
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