Sentence examples for posed in the sense of from inspiring English sources

When u 0 ∈ B 2, 1 3 / 2, (1.3) and (1.4) is locally well posed in the sense of Hadamard.

The difficulty is that the present state can be reached from many trajectories, so that the important inverse problem, namely 'what condition led to the particular values of the blood pressure and heart rate', is ill posed in the sense of Hadamard [ 5, 6].

It is then seen that the initial value problems for models (2.2) are biologically well posed in the sense that the trajectories of model (2.2) with the initial condition ((S(t_{0}),I(t_{0}), R(t_{0}))in {mathbb {R}}_{3}^) are positivity preserving.

The problem is seriously ill posed in the Hadamard sense.

Both problems are ill-posed in the sense of Hadamard.

That is the reason why equation (3) is ill-posed in the sense of Hadamard.

These problems are typically ill-posed in the sense of Hadamard [1].

The problem is ill-posed in the sense of Hadamard, i.e., small changes in the measured data can blow up the solution.

The underlying initial value problem (1) for the glucose metabolism is well-posed in the sense of Hadamard, i.e. there exists a unique solution that depends continuously on the initial conditions.

Conceptually, I am confident that the only answer the question posed in the title of the paper is: No, and the question itself makes little sense.

Therefore, and the (VQVI) is not LP well posed in sense of type I. Actually, the solution set of this problem is and thus unbounded.