Sentence examples for has an upper solution from inspiring English sources
end{aligned} (3.15) However, this problem has an upper solution (U_{t}).
then (2.14) has an upper solution β such that u 2 ≤ β < u 2 + a ( N − 2 ).
Thus, by Proposition 2.1, problem (3.4) has an upper solution β such that tilde{A}_{1}leqbetaleqtilde{B}_{1}.
The predicted phase diagram has an upper critical solution temperature (UCST) with a critical point of 114 °C.
Then we have established an upper solution v ¯ ( r, t ) = ω ( r ; μ ¯ ( t ) ) to the problem (3), which converges to the steady state, i.e. v ¯ ( r, t ) → ω ( r ; μ ∗ ) = ω ( r ), as t → ∞.
The modified double-lattice model successfully describes the phase behaviours of binary polymer solutions having an upper critical solution temperature (UCST) and a lower critical solution temperature (LCST).
The model successfully describes the liquid liquid equilibria having an upper critical solution temperature (UCST) and a lower critical solution temperature (LCST), but cannot predict the closed miscibility loop phase behavior.
The blend system had an upper critical solution temperature (UCST) type phase diagram.
The conclusion is that these isotopic mixtures are incompatible at ambient temperatures and have an upper critical solution temperature.
