Filippov–Pliss lemma and m-dissipative differential inclusions

In the paper we prove a variant of the well known Filippov–Pliss lemma for evolution inclusions given by multivalued perturbations of m-dissipative differential equations in Banach spaces with uniformly convex dual. The perturbations are assumed to be almost upper hemicontinuous with convex weakly compact values and to satisfy one-sided Peron condition. The result is then applied to prove the connectedness of the solution set of evolution inclusions without compactness and afterward the existence of attractor of autonomous evolution inclusion when the perturbations are one-sided Lipschitz with negative constant.     

Catalytic reduction of NO by CO over Pd — doped Perovskite-type catalysts

The perovskite type oxides (nominal formula LaTi_0.5Mg_0.5O₃) with addition of Pd were prepared by annealing the ethanol solution of precursors in nitrogen flow at 1200°C and characterized by X-ray powder diffraction (XRD), X-ray photoelectron spectroscopy (XPS) and temperature programmed desorption of NO (NO-TPD). Their activity was evaluated for NO reduction by CO under stoichiometric and oxidizing conditions and for direct decomposition of NO. Pd substituted samples exhibited high NO reduction activity and selectivity towards N₂. Nearly complete elimination of NO was achieved at 200°C. Two simultaneous reactions, NO reduction by CO and direct decomposition of NO as well as two forms of NO adsorption were observed on the surface of Pd substituted perovskite samples. The distribution of Pd in different catalytically active sites or complexes on at the catalyst surface may be responsible for the proceeding of two reactions: NO reduction with CO and direct NO decomposition.      

Nonnegative Trigonometric Polynomials

An extremal problem for the coefficients of sine polynomials, which are nonnegative in [0,π] , posed and discussed by Rogosinski and Szegő is under consideration. An analog of the Fejér—Riesz representation of nonnegative general trigonometric and cosine polynomials is proved for nonnegative sine polynomials. Various extremal sine polynomials for the problem of Rogosinski and Szegő are obtained explicitly. Associated cosine polynomials k _n (θ) are constructed in such a way that { k _n (θ) } are summability kernels. Thus, the L _p , pointwise and almost everywhere convergence of the corresponding convolutions, is established. April 26, 2000. Date revised: December 28, 2000. Date accepted: February 8, 2001.     

Solution study of the NF-kappaB p50-DNA complex by UV laser protein-DNA cross-linking

In this study, we describe a new approach for studying protein-DNA interactions in solution. The approach is based on mapping the UV laser-induced protein-DNA cross-links between the amino acids of the protein and the DNA bases that are in direct contact. The approach was applied for studying the solution structure of the human necrosis factor (NF)-kappaB p50 homodimer bound to a 37 base pair DNA. Several points of contact identical to those observed in the NF-kappaB-DNA crystal structure were found between the two biomolecules. Evidence is provided for the occurrence of two new contact points, one for each DNA strand. These new points of contact are located symmetrically a base apart from the extremity of the binding sequence.     

Laser assisted selective chemical metalization of Al<Subscript>2</Subscript>O<Subscript>3</Subscript> films

Thick aluminum oxide films are prepared on Al plates by anodizing. On the ceramic surface thus obtained a very thin Ag film is deposited via vacuum thermal evaporation. The Ag/Al₂O₃/Al samples prepared are irradiated by Nd:YAG laser through a suitable metal mask in order to remove the top metal film in the exposed areas. Thus, a negative silver image of the copied mask is obtained. Further, the samples are processed in Ni electroless chemical bath activated by the rest of silver. All processing steps are studied by scanning electron microscopy (SEM). EDS X-ray mapping is applied to study the final distribution of Al and Ni in the processed areas. In addition, the DC conductivity of the fabricated Ni wires obtained is measured. The proposed new method for selective chemical deposition of electroconductive Ni onto laser microstructured Ag/Al₂O₃/Al samples is simple, versatile and not restricted to the metal/ceramic system studied as well as to the electroless deposited metal.     

Mechanism of No Conversion Over a Coprecipitated CuO-MnOx Spinel-Like Catalyst

A copper-manganese oxide catalyst prepared by coprecipitation of copper and manganese hydroxides with a Cu:Mn ratio of 1:1 was investigated in order to elucidate the mechanism of NO conversion with CO. A scheme for the NO-CO interaction based on the redox couple Cu²⁺ +Mn³⁺ Cu⁺+Mn⁴⁺ is proposed.     

Lamé differential equations and electrostatics

The problem of existence and uniqueness of polynomial solutions of the Lamé differential equation where and are polynomials of degree and , is under discussion. We concentrate on the case when has only real zeros and, in contrast to a classical result of Heine and Stieltjes which concerns the case of positive coefficients in the partial fraction decomposition , we allow the presence of both positive and negative coefficients . The corresponding electrostatic interpretation of the zeros of the solution as points of equilibrium in an electrostatic field generated by charges at is given. As an application we prove that the zeros of the Gegenbauer-Laurent polynomials are the points of unique equilibrium in a field generated by two positive and two negative charges.

     

Untersuchung der Strukturumwandlungen des Vermiculits in saurem Medium mittels der Methode der Elektronenspinresonanz

Ohne Zusammenfassung     

Untersuchung der Strukturumwandlungen des Vermiculits in saurem Medium mittels der Methode der Elektronenspinresonanz

Ohne Zusammenfassung     

Reduced photobleaching of chromophores close to a metal surface

The photobleaching of chromophores in front of a metal film is measured by recording the emitted fluorescence intensity from an ensemble of chromophores as a function of time. A strong dependence of the photostability on the distance from the metal surface is found. The experimental data are well described in a classical electromagnetic model with the additional assumption that photobleaching occurs at a constant rate from the excited state. The metal interface influences the photostability of the chromophores in two ways, first by altering the excitation rate by local enhancement of the electromagnetic field and second by altering the electromagnetic decay rate.