A boundary value problem for fourth-order elastic beam equations

Multiplicity results for a fourth-order nonlinear boundary value problem are presented. The proof of the main result is based on the critical point theory.     

Kristallstruktur des Lithium‐Trimethylsilanolats [Li7(OSiMe3)7(THF)]

The lithium silanolate LiOSiMe₃ is accessible from the reaction of Me₃SiOSiMe₃ with LiMe in tetrahydrofuran. Single crystals of [Li₇(OSiMe₃)₇(THF)] were obtained from toluene at 25 °C. The structure of [Li₇(OSiMe₃)₇(THF)] (C2/c) features a capped trigonal antiprismatic arrangement of seven Li atoms. The Li atoms in [Li₇(OSiMe₃)₇(THF)] are μ₃‐bridged by seven O atoms of the silanolate ligand.     

Exponential fitting Direct Quadrature methods for Volterra integral equations

This paper is the first approach to the solution of Volterra integral equation by exponential fitting methods. We have developed a Direct Quadrature method, which uses a class of ef-based quadrature rules adapted to the current problem to solve. We have analyzed the convergence of the method and have found different formulas for the coefficients, which limit rounding errors for small stepsizes. Numerical experiments for comparison with other DQ methods are presented.     

Upper Bounds for the Automorphic Chromatic Index of a Graph

The automorphic H-chromatic index of a graph Γ is the minimum integer m for which Γ has a proper edge-coloring with m colors preserved by a given subgroup H of the full automorphism group of Γ. We determine upper bounds for this index in terms of the chromatic index of Γ for some abelian 2-groups H.