Sentence examples for stable analytic from inspiring English sources

(4.4) If (a_{0}(x)geq0), then −A generates an exponentially stable analytic semigroup (T_{p}(t)) ((tgeq0)) in E (see [17]).

Let A be the infinitesimal generator of a uniformly exponentially stable analytic semigroup of linear operators ({T t)}_{tgeq0}) on X such that {biglVert T t bigrVert leq Me^{-mu t},quad tgeq0}, where M, (mu>0) are constants.

It is known from [12, 25] that A generates a compact and exponentially stable analytic semigroup (S t)) ((tgeq0)) in H, and biglVert S t bigrVert leq e^{-mu_{1}t},quad tgeq0.

It is proved that the equation admits small-amplitude, linearly stable, real analytic, and quasi-periodic solutions for most values of frequency vector.

We aim to explore whether the boundary value problem (1) with (2) has real analytic, linearly stable, and quasi-periodic solutions.

The collection of analytic sets is stable under countable intersections and unions, but, in general, not under complementation and therefore does not constitute a σ-algebra.

We show that the analytic problem admits stable long wave modes, but shorter wave modes grow as they pass through the laminate layers.

Isotope dilution quantification techniques use stable isotope labeled analogues of analytic targets, typically by relying on the use of carbon-13 (C) and deuterium (H) (10, 11, 15, 16, 21).

Analytic conditions for existence and stability of synchronization regimes, and analytic expressions for their stable amplitudes and period corrections are derived using the Poincaré theorem on existence of periodic solutions in autonomous quasi-linear systems.

In this paper we describe a novel analytic framework for using stable isotope data to infer the prey composition of consumer diets while simultaneously estimating variability in diet composition across multiple levels of the consumer's population structure.

It provides a data structure to manipulate logical models, as well as a set of analytic tools (e.g., stable state identification, model reduction) that are common to many scientific efforts relying upon a discrete modelling approach.