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This paper is devoted to the investigation of the existence and uniqueness of a suitably defined weak solution of the abstract semilinear value problem u_ (t) = Au(t) + f(t; u(t)); u(0) = x with x 2 X; where X is a Banach space. We are concerned with two types of solutions: weak and mild. Under the assumption that A is the generator of a strongly continuous semigroup of linear, bounded operators,...
The aim of this paper is to give two theorems on the existence and uniqueness of mild and classical solutions of a nonlocal semilinear integro-differential evolution Cauchy problem for the first order equation. The method of semigroups, the Banach fixed-point theorem and the Bochenek theorem are applied to prove the existence and uniqueness of the solutions of the considered problem.
In recent years, there has been a growing interest in modeling cyclostationary time series. The survey of Gardner and others [5] is quoting over 1500 different recently published papers that are dedicated to this topic. Data that can be reasonable modeled with such time series is often incomplete. To our knowledge, no systematic research has been conducted on that problem. This paper attempts to fill...
The paper describes a concept of measuring possible error estimation and later the decomposition of the predefined model object into convex areas ECD (Exact Convex Decomposition) in order to find a solution to the problem of cavities location with the use of three-dimensional–tomography image of the tooth. Such an approach will enable the improvement of automatic cavities detection methods in the...
Berlin is an example of a city in which the principle of sustainable development has been consistently carried out for many years. The result of implementation of this principle is, among others, the rebuilding of the city’s central parts and creating public spaces of a high standard. In the following article I present the newest example of a implementation of urban open space in the city-Park am...
Tematem artykułu są projekty śródmieść niemieckich metropolii o znaczeniu strategicznym dla prowadzenia procesu rewitalizacji urbanistycznej oraz integrowania przestrzennej struktury metropolitalnej. Autor analizuje następujące projekty: HafenCity w Hamburgu, rewitalizacji powojskowych i poprzemysłowych terenów nadbrzeżnych Haweli w Poczdamie – ze szczególnym uwzględnieniem teatru Hansa Otto i Parku...
The result of the research in this article is a mathematical model of thyristor’s system control of DC motor with independent excitation, which includes containing controlled three-phase rectifier. The nonlinear characteristics of transformer’s magnetization was being taken into account. Tyristors’ work in shown by means of a scheme of an ideal key
A classic example of the application of electron-dispersive spectroscopy (EDS) is the observation of the microstructure of solid samples using scanning electron microscope (SEM). This provides the possibility of taking measurements of chemical composition in very small areas. Measurements can be performed on any bulk sample through adjusting the X-ray excitation parameters to the elements of its expected...
The purpose of this article is to present the impact of vanadium substitution on the dielectric properties of barium titanate. Doping barium titanate (BaTiO3) by different ions such as vanadium V5+ provides the possibility of changing its dielectric properties. SEM images indicate the differences between pure BaTiO3 (BT) and Ba(Ti0.98V0.02)O3 (BTV2). Using dielectric measurements, the Curie temperatures...
The paper discusses the discharge of highly concentrated alkaline wastewater from an industrial reservoir and its effect on surface waters. The discharge source is the Górka industrial reservoir, located in Trzebinia. The wastewater constitutes a threat to groundwater, which serves as a source of drinking water for surrounding villages. A detailed analysis of pH confirmed a high alkalinity of the...
The paper presents application possibilities of two and three-phase fluidized bed bioreactors for carrying out a microbiological nitrification process. The advantages and disadvantages of individual bioreactors are described. A quantitative analysis of the fundamental operating variables related to the balance of oxygen and the preservation of the fluidized bed was performed.
The aim of tribotechnological research is the reduction of tribo-couple wear through the optimization of the functional properties of the materials. Polymer matrix composites enriched by powdered materials (e.g. metal-ceramic composite powders) have a wide range of applications in the field of tribotechnology. The possibilities of producing such fillers via green, environmentally-friendly syntheses...
A decrease in the flow of the downstream stretch of the Białucha river (also known as Prądnik) has been determined based on the calculations of groundwater inflow to the Białucha riverbed completed for the Ojców‒Giebułtów‒ Olsza stretch using the Wundt and Kille methods. Hydrogeological analysis of this phenomenon revealed that the water is lost at the point where the Prądnik leaves the Proszowice...
In this paper, the method of manufacturing solid solution (Ba0.70Pb0.30)(Ti0.70Sn0.30)O3 (BP30TS30) is presented. Dielectric spectroscopy and scanning electron microscopy methods were applied to investigate the influence of doping by Pb and Sn on the physical properties of BaTiO3 (BT). It is shown that Pb and Sn substitutions change the temperature of phase transitions, their character and the maximum...
The paper introduces a novel Context-Driven Meta-Modeling Paradigm (CDMM-P) and discusses its properties. The CDMM-P changes the traditional division of responsibilities within the data layer in software systems. It facilitates the interchangeable usage of both objects representing data and objects representing relationships. The decomposition of specific responsibilities results in the weakening...
The paper shows Monte Carlo simulations of the Ising model on a square lattice with no external magnetic field. In particular, the uncertainty of the spin coupling interactions in the Ising model has been considered. The influence on the phase transition of the Gaussian noise in the spin coupling values has been demonstrated.
Strongly asymmetric nuclear matter becomes unstable with respect to proton localization above a specific critical nuclear density. For equation of state of Akmal, Pandharipande and Ravenhall the Tolman-Oppenheimer-Volkoff equations were solved and the radius of the spherical shell of a neutron star within which proton localization takes place was found.
In many areas of science and technology, there is a need for effective procedures for approximating multivariate functions. Sparse grids and cut-HDMR (High Dimensional Model Representation) are two alternative approaches to such multivariate approximations. It is therefore interesting to compare these two methods. Numerical experiments performed in this study indicate that the sparse grid approximation...
This paper shows example results of computer simulations supporting the production process of sink. Design and verification of deep drawing process and tools design were carried out using finite element models implemented in Inventium Suite. Wrinkling and fracture of the material were the main phenomena subjected to the investigation using numerical analysis. A number of computer simulations were...
This paper presents examples of usage of Coordinate Measuring Machine simulator, which facilitate metrological tasks in laboratory and industrial conditions, and constitute a great convenience in Coordinate Measuring Technique learning process.
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