Sentence examples for initial histories from inspiring English sources

We do not aim to be comprehensive in our analysis and focus only on scalar equations whose initial histories and kernels are regularly varying functions.

In Appleby et al. [2], an extension of Miller's global asymptotic stability result was given to a class of initial functions, which can include initial histories which are unbounded in the sense that.

Therefore the class of initial histories helps us to recast questions about the existence, uniqueness, and asymptotic stability of solutions of an infinite memory convolution equation in terms of a perturbed initial value convolution equation, where, to a certain extent, plays the role of a forcing term or perturbation.

In many common situations the initial history function may be considered as a constant.

In fact we focus our attention on the cases where the initial history obeys.

We make the following standing hypotheses concerning the kernel and initial history of (1.1) and (1.2). (3.1).

Suppose that we have an infinite memory integrodifferential equation with solution and initial history, that is, for.

An initial clinical impression of ADHF based on initial history and exam by the treating clinician was made in 49/117 (41.9%%) patients.

After initial history, physical, and ECG were obtained, patients were grouped into high and low risk subgroups based on ED physician's assessment of likelihood of ACS.

For the particular case in which the initial history function does not depend on time, the coefficient b m = constant ≡b0 and Equations 14a-d reduce to (15a) (15a) (15a) (15a).

if w ∈ L 2. Eventually, the initial history function can also exhibit a random behavior, x ( t, w ) = ϕ ( t, w ), t ∈ [ − τ, 0 ].