Sentence examples for does not exist globally from inspiring English sources
Then the solution of the problem (1.1 - 1.3) does not exist globally in time.
A. Constantin (see [19 21]) considered the Cauchy problem, inverse spectral problem, and inverse scatting transform for Camassa-Holm equation, proving that the corresponding solution to (1.1) does not exist globally for smooth initial data.
We also demonstrate that for discrete-time dynamics on manifolds with Euler characteristic not equal to 1, there do not exist globally stabilizing, continuous control laws.
Firstly, we prove that there exist strong solutions to (2.1) which do not exist globally in time.
Integrating this equality from t 0 to t for ∀ t 0, t ∈ [ 0, T ), we know that the conclusions in Lemma 2.7 hold. □. In this section, we discuss the blow-up phenomena of equation (1.1) and prove that there exist strong solutions to (1.1) which do not exist globally in time. At first, we give the following useful lemma. Lemma 3.1 ([25]).
Calculating these population-averages is particularly important for determining regional scale patterns because long-term monitoring data do not exist globally for many reefs.
Figure 2 shows that the infected equilibrium is locally asymptotically stable when the combination drug efficacy (epsilon=0.70) and (epsilon=0.80), while the infected equilibrium does not exist and the uninfected equilibrium is globally asymptotically stable when the combination drug efficacy (epsilon=0.94).
China does not exist in splendid isolation, but prospers by engaging globally – trade figures only yesterday showed exports rocketing by 35% over the past year.
