# Petr Stehlík

We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prove the existence of the solutions and then we investigate a monotone iterative method which could generate some of them. Since this method does not(More)
We prove some existence theorems regarding solutions to boundary value problems for systems of second-order discrete inclusions. For a certain class of right-hand sides, we present some lemmas showing that all solutions to discrete second-order inclusions satisfy an a priori bound. Then we apply these a priori bounds, in conjunction with an appropriate(More)
• Waste management
• 2002
This paper describes possible ways of prediction of nitrogen oxides formation during combustion of hydrocarbon fuels. Mathematical model based on experimental data acquired from the testing facility has been developed. The model enables to predict--at a high probability measure--the extent of nitrogen oxides emissions. The mathematical model of nitrogen(More)
• Appl. Math. Lett.
• 2014
We consider a general class of discrete-space linear partial dynamic equations. The basic properties of solutions are provided (existence and uniqueness, sign preservation, maximum principle). Above all, we derive the following main results: first, we prove that the solutions depend continuously on the choice of the time scale. Second, we show that, under(More)
• Petr Stehlik
• 2011 Fourth International Conference on Modeling…
• 2011
The paper summarizes several recent developments in process simulation and optimization methods and tools. A selection of results obtained using these computations is included as well. It is shown that tailor-made simulations may provide key insights necessary for optimum design and operation of various processes and equipment.
We consider second order partial dynamic operators of the elliptic type on time scales. We establish basic maximum principles and apply them to obtain the uniqueness of Dirichlet boundary value problems for dynamic elliptic equations, eg Poisson equation. Our special cases include the situation in which several variables are continuous and the other(More)
Enzymatic hydrolysis of waste paper is becoming a perspective way to obtain raw material for production of liquid biofuels. Reducing sugars solutions that arise from the process of saccharification are a precursors for following or simultaneous fermentation to ethanol. Different types of waste paper were evaluated, in terms of composition and usability, in(More)
Secondary combustion chambers belong to key equipment in units for thermal processing of waste, including waste to energy systems. This work uses a real industrial chamber as a baseline in simulations. Work presented here continues with finding of ideal proportions of cylindrical secondary combustion chamber (height/diameter ratio). The aim of this work is(More)
• Applied Mathematics and Computation
• 2014
This paper deals with solutions of diffusion-type partial dynamic equations on discrete-space domains. We provide two methods for finding explicit solutions, examine their asymptotic behavior and time integrability. These properties depend significantly not only on the underlying time structure but also on the dimension and symmetry of the problem.(More)