A note on the line-distinguishing chromatic number and the chromatic index of a graph

Let λ(G) be the line-distinguishing chromatic number and x′(G) the chromatic index of a graph G. We prove the relation λ(G) ≥ x′(G), conjectured by Harary and Plantholt. © 1993 John Wiley & Sons, Inc.     

On removable singularities of solutions to first order elliptic systems with irregular coefficients

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 1, pp. 65–69, January–February, 1993.     

Picosecond dynamics of intramolecular charge transfer in benzophenone amino derivatives

Institute of Molecular and Atomic Physics, Academy of Sciences of Belarus, 70 F. Skaryna Ave, Minsk 220072, Belarus. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 62, No. 3, pp. 49–55, May–June, 1995.     

Measurement of the spin and temperature dependence of ddµ molecule formation rate in solid and liquid deuterium

The ddµ molecule formation rate is experimentally measured for the two hyperfine states of the dµ-atom in the temperature range of 5–30 K. Results are consistent with a preliminary measurement by the TRIUMF group and contradict theoretical predictions. The work has been performed on the JINR phasotron (Dubna).     

On the solvability of physically nonlinear problems of Thermoelasticity

We study the problem of existence and uniqueness of generalized solutions of nonlinear vector boundary-value problems arising in the physically nonlinear theory of thermoelasticity. We prove the convergence of iteration processes in the space W ¹ ₂.     

Effect of a thermal radiation field on the γ-luminescence of alkali-silicate glass

We revealed the changes in the γ-luminescence spectra under the influence of a thermal radiation field on high-purity alkali-silicate glasses (I) and those with addition of Fe³⁺ ions (II). We explain the obtained results within the framework of the L-model of edge absorption and electron-hole recombination processes. Samarkand State University, 15, Universitetskii Bul., Samarkand, 703004, Republic of Uzbekistan. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 65, No. 3, pp. 453–455, May–June, 1998.     

Robust stabilization of internally delayed uncertain systems via sliding mode control

Summary The problem of robust stabilization of internally delayed uncertain systems via sliding mode controllers (SMC's) is studied in this paper. The robustness property and assymptotic stability of the system are discussed. Some sufficient conditions for the design of SMC and the switching hyperplane are given. Further generalization results, which lead to a simple design and implementation, are made for the system being described in companion form. A method is suggested for the elimination of limit cycles in systems being regulated by a relay SMC while allowing the generation of sliding motion and thus ensuring the closed-loop asymptotic stability.     

Über die Bedeutung von Diffusionsgrenzschichten bei Ionenaustauschvorgängen

Based on NMR imaging results of the spatial and temporal development of ion exchange processes in alginate gels, the question of appropriate modelling of these processes is discussed. For rare earth and actinoid ions, the behaviour is found to correspond qualitatively to the expectations of Stefan’s model (shrinking core model, SCM). However, quantitative correspondence of the experimental data with the model can only be achieved when an additional diffusive layer at the surface of the ion exchange material is assumed. An extension of the SCM with respect to this problem is derived.