Therefore, u ̲ given by (2.8) is a blow-up lower solution of the problem (1.1) with appropriately large u 0. And consequently, there exist nonglobal solutions to (1.1).
It is found that the power output and efficiency of the AFC first increase and then decrease as the electrolyte concentration is increased, and consequently, there exist the optimal electrolyte concentrations for different temperatures.
The property of invariance of degree under homotopy then yields deg = deg ( Φ m, Ω ) ; and therefore, in view of (10.6), we conclude that deg ≠ 0. Consequently, there exist vectors ξ ∗ and η ∗ possessing the properties indicated, and it only remains to refer to Theorem 8.1.
Consequently, there exist numerous reviews of the extensive issues involved in product recovery and environmentally conscious manufacturing.
Consequently, there exist y * (t) and y* (t) such that lim n → ∞ α n ( t ) = y * ( t ), and lim n → ∞ β n ( t ) = y * ( t ), uniformly on J.
Consequently, there exist (epsilon>0) and a subsequence ({ x_{n k)}}) such that p(x_{n k)},z) geqepsilonquad mbox{for all }k inmathbb{N}.
