An initial value method for solving Fredholm integral equation of the first kind

The difficulties in solving Fredholm integral equations of the first kind are well known. A classical method has been to convert the equation into a set of m linear algebraic equations in n unknowns (m?n). For computational convenience, it is customary to force m = n and solve the resulting ill-conditioned system using one technique or other. In the general case, a feasible solution, if it exists, can be found by determining the generalized inverse of the coefficient matrix. One method of finding the generalized inverse is to reformulate the problem and observe the steady state response of a system of ordinary differential equations with prescribed initial conditions. Results obtained from this reformulation are found to be comparable in quality to those obtained earlier by other methods. Analog and digital computer implementations are discussed.     

Stability analysis of nonlinear control systems with characteristics equations having complex coefficients

In this paper, the stability equation method is applied to the analysis of nonlinear systems with characteristics equations having complex coefficients. Three types of systems are studied: those with unstable open-loop poles, unstable characteristics roots or an equal number of open-loop poles and zeros.     

Transient dipole radiation in an absorbing uniaxial crystal

The electromagnetic radiation arising from a longitudinally and a transversely oriented magnetic dipole in a dissipative uniaxially anisotropic medium is determined by writing separate equations for the electromagnetic field intensities, and utilizing a spectral representation in the space-time Fourier domain. It is established that explicit, time- dependent, analytical solutions are possible in the case where the permitivity, permeability and conductivity tensors are simultaneously diagonalizable by means of a collineatory transformation, and the permittivity and conductivity tensors are directly proportional to each other.     

The adoption of the sappho method in the Hungarian electronics industry

The article deals with the results achieved by the adoption of the SAPPHO method (developed by the Science Policy Research Unit of Sussex University) to the conditions of the Hungarian electronics industry. The results coincide to a great extent with those established in the course of the survey made in England, although there are some significant differences.