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math.AP2019★ 1 cited
Dynamical systems with finite stopping times. Part 1: Relaxation, oscillation and their application to diffusion and wave dissipation
Richard Kowar
In this paper, we derive general theorems for controlling (vector-valued) first order ordinary differential equations such that its solutions stop at a finite time and apply…
math.AP2019
A representation formula for solutions of second order ode's with time dependent coefficients and its application to model dissipative oscillations and waves
Richard Kowar
In this paper, we model, classify and investigate the solutions of (normalized) second order ode's with \emph{nonconstant continuous coefficients}. We introduce a generalized \emph…
math.AP2009★ 4 cited
Causality analysis of waves and wave equations obeying attenuation
Richard Kowar
In this paper we show that the standard causality condition for attenuated waves, i.e. the Kramers-Kronig relation that relates the attenuation law and the phase speed of the wave,…