"How can they guarantee the problem is fixed when cattle are still able to wander into Surprise creek and drink from the water because the surrounding stations are not fenced off properly?" he asked "We need to know if it is safe to hunt and drink the water there".
u 0 ( x ), v 0 ( x ) ( x ∈ [ 0, l ] ), f 1 ( t, x ), f 2 ( t, x ) ( ( t, x ) ∈ [ 0, T ] × [ 0, l ] ) are given smooth functions and they satisfy all compatibility conditions which guarantee the problem (1) has a smooth solution u ( t, x ) and v ( t, x ).
Now we provide the following assumption that holds throughout the paper and guarantees the optimization problem (3.3) will be well defined.
Quantization is then introduced in the event-triggered controllers and some relaxed conditions are presented to guarantee the tracking problem by using some interval matrix properties.
Their schemes applied disguise techniques to science computational problems, which guaranteed the data security and privacy.
For convenience, we make the following standard assumptions to guarantee that the problem under consideration is solvable and the proposed methods are well defined.
In [5], by using spectral theory and the fixed point theorem, Li established some conditions for f to guarantee that the problem has a unique solution.
In [17], by using critical point theory and variational methods, the authors gave some new criteria to guarantee that the problem (1.3) have at least one solution or infinitely many solutions, in the case (lambda=mu=1).
In addition, the optimality proof of deterministic solution given in the next section guarantees the equivalence between problem P-4 and problem P-1.
We find sufficient conditions that guarantee the separability of problem (1.2).
