Sentence examples for the solutions exist from inspiring English sources
The solutions exist, so take a vacation".
The solutions exist; they just need to be urgently implemented.
We prove that the solutions exist globally in time by contradiction.
For problem (2.1), assume that the solutions exist in a neighborhood of considered point ((lambda_{0}, mu_{0} in operatorname {dom} S).
They obtained that the solutions exist globally if either p < max { q, 1 } or p = max { q, 1 }, and the solutions may blow up in finite time for large initial value if p > max { q, 1 }.
for all x ∈ C. It follows from Lemma 3 and the proofs of Theorems 1, 2, 3 that all statements of these theorems are also valid for solutions of periodic problem (10 - 11 10 - 11e solutifns existhe
Among other things, we provide a necessary and sufficient condition on the initial data in order that the solution exist for all time and remain non-negative.
They established the existence of a critical length (a_) and proved that the solution exists globally if (0< a< a_), while the solution quenches if (a>a_).
The solution exists and is called the mute button.
We show that the solution exists, and is unique, bounded, nonnegative, and globally defined.
