Sentence examples similar to ensures that varrho_{2} from inspiring English sources

end{aligned} Therefore, (Re_{1}>1) ensures that (V_{3}^{prime}(t)leq0) holds true.

This contradiction ensures that ((varrho_{2})) holds.

Lemma 1.3 ensures that (1.2) holds.

Therefore, Theorem 5.1 ensures that (7.8) has a solution.

Thus, nothing ensures that (15) and (18) are invariably conservative.

which together with (2.20) and (2.21) ensures that (2.1) and (2.2) hold with and.

Therefore, Theorem 2.1 ensures that (1.1) has at least two nonzero critical points (u_{lambda1}) and (u_{lambda2}).

Therefore Theorem 2.1 ensures that (3.1) has a nonoscillatory solution in.

Theorem 5.3 ensures that (7.11) has extremal weak solutions between and.

Thus Theorem 4.1 ensures that (4.16) has at least one positive solution.

At the same time, the choice ensures that (lambda+frac{mu^{2}}{2}=-1<0), whish is required by (4.3).