Efficient One-Pot Synthesis of 2H-indazolo[2,1-b]phthalazine-1,6,11-trione Derivatives Catalyzed by Y(OTf)3

Russian Journal of Organic Chemistry - In this study, substituted 2H-indazolo[2,1-b]phthalazine-1,6,11-triones, that may possess biological activity, have been synthesized via one-pot...     

Anodic growth of self-ordered magnesium oxy-fluoride nanoporous/tubular layers on Mg alloy (WE43)

In the present work we show that self-ordered nanotubular and nanoporous magnesium oxy-fluoride structures can be grown on a magnesium-based alloy when anodized in a non-aqueous (ethylene glycol) HF electrolyte. The morphology of the surface structures varies with applied potential and anodisation time. Tubular and porous structures with different sizes and orientation can be grown.     

On the linear stability of simple and semi-simple periodic waves for a system of cubic Klein–Gordon equations

We study the linear stability of traveling wave solutions for the nonlinear wave equation and coupled nonlinear wave equations. It is shown that periodic waves of the dnoidal type are spectrally unstable with respect to co-periodic perturbations. Our arguments rely on a careful spectral analysis of various self-adjoint operators, both scalar and matrix and on instability index count theory for Hamiltonian systems.     

Eigenparameter dependent discrete Dirac equations with spectral singularities

Let us consider the Boundary Value Problem (BVP) for the discrete Dirac Equations

(0.1)     

In uence of ambient conditions on the laser air spark

Received: 17 June 1998/Revised version: 17 September 1998     

A note on Riesz spaces with property-b

We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property.     

Bone and joint changes in pneumatic drillers : M. J. Burke,E. C. Fear and V. Wright 1977 Annals of Rheumatic Diseases36, 276–279. (4 pages, 2 figures, 13 references)

Propagation of waves in linear anisotropic non-homogeneous thermoviscoelastic media is investigated by employing the basic ideas of the theory of singular surfaces and of ray theory. The characteristic equation governing the wave velocities, and the decay and growth equations describing the change of the strength of the discontinuity as the wave front moves in the medium are obtained. The results then are reduced to the case of isotropic materials. The decay and growth equations for this case are integrated along the rays and the general solutions are obtained. The factors affecting the decay and growth, namely the effects of inhomogeneity, geometry of the wave front, material internal friction and thermomechanical coupling, are discussed.     

On the complex factorization of the Lucas sequence

In this paper, firstly we present a connection between determinants of tridiagonal matrices and the Lucas sequence. Secondly, we obtain the complex factorization of Lucas sequence by considering how the Lucas sequence can be connected to Chebyshev polynomials by determinants of a sequence of matrices.