Asymptotic Stability of Differential Equations on Convex Sets

We show a sufficient condition for the asymptotic stability of solutions of an abstract evolutionary equation with the right-hand side defined on a convex set. This condition is applied to a generalized version of the Tjon-Wu equation and to the Boltzmann-Kac equation.     

Remarks on the structure of the multiplicative monoid of integers modulom

This note presents some results concerningH-classes, Schützenberger groups, and regular elements in the multiplicative monoid ℤ _m of integers modulom. It also shows that in ℤ _m , the product of twoH-classes is anH-class.     

An unusual reaction of triphenylmethylsulfenyl chloride with norbornenf and norbornadiene

Triphenylmethylsulfenyl chloride reacts with norbornene and norbornadiene to yield chlorodisulfides instead of the expected products - chlorosulfides.     

Time-series analysis of traffic updates in loss systems

The paper deals with time-series analysis of one-line traffic measurements in loss systems. Discrete-time stochastic models are derived for finite-capacity trunk groups with non-exponential distributions of interarrival and service times. The modelling accuracy is characterized by a prediction error. Simulation results are used to assert situations when the application of the proposed modelling technique is practical. Finally the adaptive Kalman filter is used to deal with cases when the statistics of observed processes are not known a priori.     

Carbon-13 magnetic resonance spectra of quaternary ammonium salts derived from enamino ketones

¹³C magnetic resonance spectra of nine quaternary ammonium salts of the general formula R¹C¹(O)C²H?C³HNR₃⁴Cl (where R¹, R⁴ = alkyl) were obtained and compared with those of the parent amino compounds. The chemical shift differences between these two classes of compounds are qualitatively accounted for by π-electron density changes. Steric effects and hyperconjugation of the alkyl substituents are also discussed.     

Embeddability of mean-type mappings in a continuous iteration semigroup

We characterize iterability in the class of homogeneous symmetric strict mean-type mappings and determine all continuous iteration semigroups of such functions in which the given mean-type mapping can be embedded.     

Halfconvex functions and equality of Daróczy–Páles conjugate means

Using some properties of halfconvex and halfconcave functions, we solve the equality problem for conjugate means introduced by Daróczy and Páles.