Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type

It is shown that uniform asymptotic stability does not imply exponential stability in linear Volterra difference equations. However, if the kernel of the equation decays exponentially. then both concepts are equivalent as in the case of ordinary difference equations.     

Thermophysical properties of gamma-irradiated LaFeO3 and YFeO3 orthoferrites

In the present work, LaFeO₃ and YFeO₃ orthoferrites were carefully prepared using the solid state high temperature ceramic and sintering technique. On these two materials, numerous measurements were applied before and after γ-absorbed dose (1.24 Mrad) namely, X-ray diffraction (XRD), DC-electrical conductivity, UV/Vis, IR, Mössbauer effect and EPR. Results obtained were explained, interpreted, and discussed in detail on the basis of lattice structure of the new perovskite investigated and the interaction of γ-radiation with the investigated materials. Finally the γ-induced functions are evaluated for electrical conduction, Mössbauer effect and EPR for the first time.     

Decomposition of fuzzy continuity and fuzzy ideal continuity via fuzzy idealization

Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy α-I-open and r-fuzzy β-I-open sets, which is properly placed between r-fuzzy openness and r-fuzzy α-I-openness (r-fuzzy pre-I-openness) sets regardless the fuzzy ideal topological space in Ŝostak sense. Moreover, we give a decomposition of fuzzy continuity, fuzzy ideal continuity and fuzzy ideal α-continuity, and obtain several characterization and some properties of these functions. Also, we investigate their relationship with other types of function.     

Cyclic and non cyclic aliphatic–aromatic polyesters derived from biomass: Study of structures by MALDI-ToF and NMR

New polyesters were prepared by polycondensation in solution of 1,4:3,6 dianhydrohexitols with various aliphatic–aromatic acid dichlorides which differ by their chain length (m = 6,8,10). They are obtained with yields in the range of between 89% and 95%. In order to obtain these polymers within optimum conditions, a systematic study was conducted on the effect of the parameters involved in the reaction, such as the alkyl chain length of acid dichlorides and the endo or exo positions of hydroxyl function of diols. The resulting polyesters were characterized by different analytical techniques such as NMR (¹H and ¹³C), FT-IR spectrometry, SEC measurements and MALDI-ToF mass spectrometry. Under optimized conditions a high molar fraction of cyclic polyesters was formed.The differential scanning calorimetry (DSC) measurements revealed an amorphous character with glass transition temperatures in the range of 27–45 °C. The polymers are obtained with inherent viscosities in the range of 0.11–0.25 dL/g with a polydispersity index between 1.75 and 1.99.     

Enhanced Electrocatalytic Reduction of Oxadiargyl and Its Determination on 2‐(4‐((4‐Acetylphenyl)diazenyl)phenylamino)‐ethanol Modified Graphene‐Paste Electrode

The electrochemical behavior of oxadiargyl at a graphene‐paste electrode modified with an azo dye, 2‐(4‐((4‐acetylphenyl)diazenyl)phenylamino)ethanol (ADPE), ADPE/MGRPE was investigated. The modified electrode showed high electrocatalytic activity toward oxadiargyl. The apparent electron transfer rate constant (k_s) and charge transfer coefficient (α) between electrode and ADPE were 1.16 s^?1 and 0.41, respectively. The differential pulse voltammetry response of the modified graphene‐paste electrode was linear against the concentration of oxadiargyl in the range from 0.03 to 1.4 mg L^?1. The limit of detection was found to be 1.3 µg L^?1 (S/N=3). The practical analytical utility of this electrode was demonstrated by measurement of oxadiargyl in river water, soil and rice samples.     

Surface‐Anchored MOF‐Based Photonic Antennae

The loading of a metal‐organic framework (MOF), [Cu₃(btc)₂xH₂O] HKUST‐1, with europium β‐diketonate complexes is studied with the goal to using the porous molecular framework as a photonic antenna. Whereas loading of HKUST‐1 powder particles produced via the conventional solvothermal synthesis method was strongly hindered, for HKUST‐1 SURMOFs, thin MOF films fabricated using the liquid phase epitaxy method, a high filling factor can be achieved. The optical properties of the HKUST‐1‐MOFs before and after loading were analysed with the aid of luminescence spectroscopy. Careful analysis of the absorption spectra reveals the presence of an effective energy transfer between the HKUST‐1 framework and the Eu³⁺ centers.     

Primary Fragmentation Pathways of Gas Phase [M(Uracil−H)(Uracil)]+ Complexes (M=Zn,Cu, Ni,Co, Fe,Mn, Cd,Pd , Mg,Ca, Sr,Ba, and Pb): Loss of Uracil versus HNCO

Complexes formed between metal dications, the conjugate base of uracil, and uracil are investigated by sustained off‐resonance irradiation collision‐induced dissociation (SORI‐CID) in a Fourier transform ion cyclotron resonance (FTICR) mass spectrometer. Positive‐ion electrospray spectra show that [M(Ura?H)(Ura)]⁺ (M=Zn, Cu, Ni, Co, Fe, Mn, Cd, Pd, Mg, Ca, Sr, Ba, or Pb) is the most abundant ion even at low concentrations of uracil. SORI‐CID experiments show that the main primary decomposition pathway for all [M(Ura?H)(Ura)]⁺, except where M=Ca, Sr, Ba, or Pb, is the loss of HNCO. Under the same SORI‐CID conditions, when M is Ca, Sr, Ba, or Pb, [M(Ura?H)(Ura)]⁺ are shown to lose a molecule of uracil. Similar results were observed under infrared multiple‐photon dissociation excitation conditions, except that [Ca(Ura?H)(Ura)]⁺ was found to lose HNCO as the primary fragmentation product. The binding energies between neutral uracil and [M(Ura?H)]⁺ (M=Zn, Cu, Ni, Fe, Cd, Pd ,Mg, Ca, Sr Ba, or Pb) are calculated by means of electronic‐structure calculations. The differences in the uracil binding energies between complexes which lose uracil and those which lose HNCO are consistent with the experimentally observed differences in fragmentation pathways. A size dependence in the binding energies suggests that the interaction between uracil and [M(Ura?H)]⁺ is ion–dipole complexation and the experimental evidence presented supports this.     

Anti-inflammatory and analgesic activity of Alkanna bracteosa and Alkanna tricophila

Alkanna bracteosa and Alkanna tricophila, Boraginaceae, have been reported to be useful for their anti-inflammatory and wound-healing effects in traditional medicine. Methanol extracts of A. bracteosa and A. tricophila were evaluated for their potential analgesic and anti-inflammatory properties. Alkanna bracteosa was observed to produce a maximum of 42% reduction of hind paw licking in acute as well as 68% alleviation in inflammatory phase of formalin test in mice and about 30% declination of carrageenan-induced rats paw swelling at doses 100-400?mg?kg?1 in comparison to negative control; on the other hand, A. tricophila required at least 200?mg?kg?1 to exhibit a significant reduction in paw licking or oedemas at the early phase of formalin test and the late phase of carrageenan test, respectively. Our results suggest that the extracts may be of use for their analgesic and anti-inflammatory effects.     

Spin and pseudospin symmetries of the Dirac equation with shifted Hulthe′n potential using supersymmetric quantum mechanics

In this paper, we obtain approximate analytical solutions of the Dirac equation for the shifted Hulthe′n potential within the framework of spin and pseudospin symmetry limits for arbitrary spin–orbit quantum number κ using the supersymmetry quantum mechanics. The energy eigenvalues and the corresponding Dirac wave functions are obtained in closed forms.