Distributed parameter systems with delays can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic-plastic material, fluid dynamics, diffusion-reaction processes, transmission of the signals at the certain distance by using electric long lines, etc., all lie within this area. The object that we are studying (temperature, displacement, co...

We study a q-difference equation of a BCn type Jackson integral, which is a multiple q-series generalized from a q-analogue of Selberg’s integral. The equation is characterized by some new symmetric polynomials defined via the symplectic Schur functions. As an application of it, we give another proof of a product formula for the BCn type Jackson integral, which is equivalent to the so-called q-...

A matrix model based on a discrete time form of the logistic equation and the Leslie matrix model was developed for density-dependent population growth; the model is simpler and more easily applied than the model developed by Liu and Cohen in 1987 using a different discrete time form of the logistic equation. The new model requires no additional parameters, matrices, or mathematical functions, ...

Aims. We search for possible time lags caused by quantum gravitational (QG) effects using gamma-ray bursts detected by INTEGRAL. The advantage of this satellite is that we have at our disposal the energy and arrival time of every single photon, which enhances the precision of the time resolution. Methods. We present a new method for seeking time lags in unbinned data using a maximum likelihood....

We derive and analyze two equivalent integral formulations for the time-harmonic electromagnetic scattering by a dielectric object. One is a volume integral equation (VIE) with a strongly singular kernel and the other one is a coupled surface-volume system of integral equations with weakly singular kernels. The analysis of the coupled system is based on standard Fredholm integral equations, and...