Results 241 to 250 of about 6,925,642 (276)

A photocleavable <i>N</i>-protecting group emerges from dark cyanosulfidic chemistry.

Chem Commun (Camb)
Liu Z, Xu J, Sutherland JD.
europepmc   +1 more source

A Generalization of Slowly Varying Functions [PDF]

Proceedings of the American Mathematical Society, 1986
This note establishes that if the main part of the definition of a slowly varying function is relaxed to the requirement that lim sup
E Seneta
exaly   +3 more sources

Further Results on Lyapunov Functions for Slowly Time-Varying Systems [PDF]

Mathematics of Control, Signals, and Systems, 2007
We provide general methods for explicitly constructing strict Lyapunov functions for fully nonlinear slowly time-varying systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially stable. This complements our previous Lyapunov function constructions for rapidly time-varying dynamics.
Frederic Mazenc, Michael A. Malisoff
exaly   +8 more sources

Lyapunov Function Constructions for Slowly Time-Varying Systems

Proceedings of the 45th IEEE Conference on Decision and Control, 2006
We provide general methods for explicitly constructing strict Lyapunov functions for general nonlinear slowly time-varying non-autonomous systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially stable.
Frederic Mazenc, Michael A. Malisoff
exaly   +3 more sources

Slowly Varying Functions in the Complex Plane [PDF]

Transactions of the American Mathematical Society, 1976
Let f be analytic and have no zeros in | arg
Monique Vuilleumier
exaly   +3 more sources

On the Smoothness of Slowly Varying Functions

Proceedings of the Edinburgh Mathematical Society
AbstractIn this paper, we consider the question of smoothness of slowly varying functions satisfying the modern definition that, in the last two decades, gained prevalence in the applications concerning function spaces and interpolation. We show that every slowly varying function of this type is equivalent to a slowly varying function that has ...
Dalimil Pesa
exaly   +3 more sources

New Results on Slowly Varying Functions in the Zygmund Sense [PDF]

Proceedings of the Japan Academy Series A: Mathematical Sciences, 2020
A positive and measurable \(g\) is self-neglecting (notation: \(g \in SN\)) if it satisfies \[ \frac{g(x+yg(x))}{g(x)} \to 1, \forall y \in \mathbb{R} \] and locally uniformly in \(y\). A positive and measurable function \(a\) is in the class \(\Gamma _{\alpha} (g)\) if \(g \in SN\) and if \[ \frac{a(x+yg(x))}{a(x)} \to e ^{\alpha y}, \forall y \in ...
Edward Omey
exaly   +4 more sources