65 citations · 70 across the 5 of their papers we have counts for
5 papers
Extension of the principle of least action with focus on dissipative equations
Richard Kowar
In this paper, we extend the \emph{principle of least action} and show that a \emph{Lagrange density} always exists for the usual linear pde or linear fractional problems $\oA\,u=f…
Regularization of systems of nonlinear ill-posed equations: II. Applications
M. Haltmeier, R. Kowar, A. Leitao +1
In part I we introduced modified Landweber-Kaczmarz methods and have established a convergence analysis. In the present work we investigate three applications: an inverse problem r…
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…
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…
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,…