A simple computational procedure is described for the evaluation of the modified Bennett functions, which arise in the multiple Fourier analysis for bang-bang controls with memory.

In this paper we introduce a class of nonlinear complex ordinary differential equations that arises in the removal of channel distortion in digital telecommunication signals. Techniques from dynamical systems theory show that Hopf bifurcations are possible in the simplest of these systems. Numerical integrations, however, show that such bifurcations are degenerate. When attempts are made to follow the periodic orbits, both the period of oscillation and the principal bifurcation parameter remain fixed at their values at bifurcation. The periodic orbits exist as a family at discrete parameter values, i.e. we have a nonlinear centre. A stability régime diagram is presented

The system of conservation laws governing heat and mass transfer processes in a continuous medium is obtained in a symmetric form on the basis of the successive application of fundamental thermodynamic principles. This approach involves reformulating the problem in intensive thermodynamic variables such as the temperature and chemical potential. The equations of capillary fluid mechanics and phase transitions with moving free boundaries are analysed in detail. The unsteady motion of a drop driven by buoyancy forces in an unbounded ambient fluid with dilute surfactants is investigated where the LeChatelier principle is established for an arbitrary surfactant. The general procedure for construction of self-similar solutions for the thermodiffusive Stefan problem with piecewise constant matrices of coefficients is described

A simplified version of Reissner's theory of thin shells of revolution suffering small strains but arbitrarily large deflections and rotations reduces, when specialized to axi-symmetric deformations of annular membranes under a vertical surface load, to a nonlinear ordinary differential equation which is free of Poisson'ratio. Within this framework the questions of existence and non-existence of non-negative solutions of the associated stress and displacement boundary value problem are brought to a final answer. Progress in this direction was made in an earlier study (Grabmüller & Pirner 1987). In this paper a continuous monotone curve is constructed which effects a subdivision of the respective ranges of boundary data into complementary domains of existence and non-existence of strictly positive solutions