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Search results for: heteroclinic solutions
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Certain family of analytical solutions of nonlinear von Neumann equations
PublicationIn this paper we present a slight generalization of certain type of Darboux transformation, that may be used sub-sequently in a convenient way. This method allows to obtain families of solutions of nonlinear von Neumann equations, that are used in particular in DNA modeling.
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Towards Rational Biosurfactant Design—Predicting Solubilization in Rhamnolipid Solutions
PublicationThe efficiency of micellar solubilization is dictated inter alia by the properties of the solubilizate, the type of surfactant, and environmental conditions of the process. We, therefore, hypothesized that using the descriptors of the aforementioned features we can predict the solubilization efficiency, expressed as molar solubilization ratio (MSR). In other words, we aimed at creating a model to find the optimal surfactant and...
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Weak Solutions within the Gradient-Incomplete Strain-Gradient Elasticity
PublicationIn this paper we consider existence and uniqueness of the three-dimensional static boundary-value problems in the framework of so-called gradient-incomplete strain-gradient elasticity. We call the strain-gradient elasticity model gradient-incomplete such model where the considered strain energy density depends on displacements and only on some specific partial derivatives of displacements of first- and second-order. Such models...
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The Impact of Contemporary Technology on Shell Structures: Material and Light Solutions
PublicationWith the development of technology and the materials used, shell structures have developed into more complex forms. This article is a comparison between contemporary and historical shell structures. The change is an effect of the evolution in the design process that is the result of parametric design thinking. The study aims to investigate the impact of new technologies on the architectural form of shell structures. Was there any...
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DMSO and TMAO—Differences in Interactions in Aqueous Solutions of the K-Peptide
PublicationInteractions between a solvent and their co-solute molecules in solutions of peptides are crucial for their stability and structure. The K-peptide is a synthetic fragment of a larger hen egg white lysozyme protein that is believed to be able to aggregate into amyloid structures. In this study, a complex experimental and theoretical approach is applied to study systems comprising the peptide, water, and two co-solutes: trimethylamide...
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Topological Behaviour of Solutions of Vibro-Impact Systems in the Neighborhood of Grazing
PublicationThe grazing bifurcation is considered for the Newtonian model of vibro-impact systems. A brief review on the conditions, sufficient for the existence of a grazing family of periodic solutions, is given. The properties of these periodic solutions are discussed. A plenty of results on the topological structure of attractors of vibro-impact systems is known. However, since the considered system is strongly nonlinear, these attractors...
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On the Chaplyghin method for generalized solutions of partial differential functional equations
PublicationW pracy tej rozważa się zagadnienia początkowo-brzegowe dla semiliniowych równań różniczkowo-funkcyjnych cząstkowych pierwszego rzędu. Przy naturalnych założeniach o funkcjach danych, istnieje ciąg Czapłygina i jest on zbieżny do rozwiązania w sensie Caratheodory'ego wyjściowego zagadnienia. Podane jest oszacowanie błędu rozwiązania przybliżonego. Wykazuje się, iż metoda Czapłygina dla powyższego zagadnienia jest równoważna metodzie...
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Technology adoption review for ageing well: analysis of technical solutions
PublicationWhile several technological solutions are available for older adults to improve their wellbeing and quality of life, little is known about the gaps between the needs, provided solutions, and their adoption from a more pragmatic perspective. This paper reports on reviewing existing technological solutions for older adults, which span the work life, life in the community, and wellbeing at home. We analyzed 50 different solutions...
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Solutions of inverter systems in Shore-to-Ship Power supply systems
PublicationThe article presents a clearly formulated need for installing S2SP (Shore to Ship Power) systems, in particular Medium Voltage (MV) systems, along with certain solutions of modern inverter systems used in those systems. Requirements and basic configurations of S2SP systems are discussed, focusing in particular on capabilities of the S2SP system with DC distribution busbar. Moreover, on the background of the executing assumptions...
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Excitation energy transport and trapping in concentrated solid solutions offlavomononucleotide.
PublicationPraca dotyczy właściwości transportu i pułapkowania energii wzbudzenia w układzie monomer dimer dla flawomononukleotydu rozpuszczonego w filmach alkoholu poliwinylowego. Pokazano, że w tym przypadku wydajność kwantowa i depolaryzacja nie dają się opisać w ramach teorii nie uwzględniającej powrotnego przekazywania energii i że znacznie lepsza zgodność uzyskanych wyników doświadczalnych zachodzi z teorią, w której fluoryzujące...
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Numerically robust delta - domain solutions to discrete - time Lyapunoequation
Publication.
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Quadratic approximation of solutions for differential equations with nonlinear boundary conditions.
PublicationZastosowano metodę kwazilinearyzacji i sformułowano warunki dostateczne przy których iteracje monotoniczne są kwadratowo zbieżne do jedynego rozwiązania wymienionego w tytule zagadnienia różniczkowego. Uzyskane wyniki uogólniają niektóre wcześniej publikowane rezultaty gdy warunek brzegowy był liniowy.
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Photophysics of Untethered ZnTPP-Fullerene Complexes in Solution
PublicationThe spectroscopy and dynamic behavior of the self-assembled, Soret-excited zinc tetraphenylporphyrin (ZnTPP) plus fullerene (C60) model system in solution has been examined using steady state fluorescence quenching, nanosecond time-correlated single photon counting, picosecond fluorescence upconversion, and picosecond transient absorption methods. Evidence of ground state complexation is presented. Steady-state quenching of the...
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Computer modeling of the solution conformation of cyclic enkephalins
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Optical switching technologies: problems and proposed solution
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The photosensitized oxidation of mixture of parabens in aqueous solution
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GIS Solution for Weather Forecast Data Analysis
PublicationIn this paper authors present the GIS system for the analysis of the numerical weather prediction data. This kind of data has multidimensional character (three dimensions and time) and its analysis should consider all the available factors. Proposed GIS system consists of RASDAMAN application with implemented OLAP cube mechanism, which enables the user to process data in the spatial-time domain. It also simplifies the meteorological...
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Advanced oxidation treatment of Pentoxifylline in aqueous solution
PublicationThe degradation of pentoxifylline (PTX) using H2O2, UV, H2O2/UV, Fenton and photo- Fenton processes has been examined in aqueous solution. The influence of various amount of oxidation agent on H2O2, H2O2/UV, Fenton and photo-Fenton reactions were investigated. Initial PTX concentration in Fenton and photo-Fenton was considerated. The addition of inorganic ions (Cl-, NO3-, SO42- and CO32-) on the degradation efficiency of PTX were...
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Preparation and characterisation of solution-cast Nafion membrane
PublicationNafion is a commercial name for a perfluorosulfonic polymer, which has been developed in 1962 by Dupont de Nemours. This polymer consists of a polytetrafluoroethylene backbone and regular spaced long perfluorovinyl ether pendant side chains terminated by a sulfonate ionic group. These sulfonate groups are responsible for cation-exchange properties of Nafion. Thanks to the ion-exchange properties, water permeability, good chemical,...
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Adsorption of 1,2-dichloropropane from aqueous solution
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Hydrogen charging of nitrided steel in acid solution
PublicationKonstrukcyjną stal, azotowaną w wyładowaniu jarzeniowym w mieszaninie gazów o różnej zawartości N2, H2 i Ar, poddawano katodowemu nawodorowaniu w kwaśnym roztworze, imitującym przepracowany olej maszynowy. W pomiarach szybkości przenikania wodoru i ekstrakcji próżniowej określano wpływ azotowanych warstw, odpowiednio, na transport wodoru i na jego nieodwracalne pułapkowanie. W obecności niezdefektowanej warstwy kompaktowych azotków...
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Two dimensional inverse solution for diagonal pumps
PublicationW pracy przedstawiono rozwiązanie zadania odwrotnego dla wirnika i kierownicy pompy diagonalnej. Dla założonego kształtu powierzchni prądu wyznaczono kształt łopatek obu palisad. Geometria kanałów łopatkowych została wyznaczona w wyniku rozwiązania układu równań zapisanych w krzywoliniowym układzie współrzędnych. W pracy przedstawiono fotografie wirnika wykonanego techniką Rapid Prototyping.
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Commercial systems for automatic detection of events. Features, limitations and potential solutions
PublicationVideo Content Analysis (VCA). Motion detection. Example of complex VCA system. Commercial VCA systems and their applications. Limitations and problems. Possible solutions.
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An approximative scheme of finding almost homoclinic solutions for a class of Newtonian systems
PublicationW niniejszej pracy badamy istnienie rozwiązań prawie homoklinicznych (ang. almost homoclinic solutions) dla pewnej klasy układów Newtona. Rozwiązanie prawie homokliniczne otrzymujemy jako granicę ciągu rozwiązań okresowych dla pewnego ciągu równań różniczkowych.
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A mechatronic design based on desired solutions for vibration surveillance of mechanical systems
PublicationCelem pracy jest pokazanie zamierzonych rozwiązań, których włączenie może stanowić bazę nowych projektów mechatronicznych. Rozwiązania te dotyczą zmodyfikowanej metody nadzorowania drgań za pomocą sterowania modalnego przy energetycznym wskaźniku jakości, nadzorowania drgań za pomocą zmiennej prędkości obrotowej wrzeciona, a także - dopasowania prędkości obrotowej do optymalnego kąta przesunięcia fazowego. Uzyskane rezultaty oraz...
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Quasi-solutions for generalized second order differential equations with deviating arguments
PublicationThis paper deal with boundary value problems for generalized second order differential equations with deviating arguments. Existence of quasi-solutions and solutions are proved by monotone iterative method. Examples with numerical results are added.
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Some mechatronic solutions for vibration surveillance of mechanical systems idealised discretely
PublicationCelem pracy jest prezentacja wybranych rozwiązań mechatronicznych, których uwzględnienie może poprawić skuteczność procesu nadzorowania drgań modelowanych dyskretnie układów mechanicznych. Proponowane rozwiązania dotyczą sterowania optymalnego przy energetycznym wskaźniku jakości w układzie zredukowanym oraz w układzie hybrydowym, jak również - dopasowania prędkości obrotowej wirujących wałów do optymalnego kąta przesunięcia fazowego....
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Existence of solutions for second order impulsive differential equations with deviating arguments
PublicationPraca dotyczy równań różniczkowych z impulsami i odchylonymi argumentami. Badano problem istnienia rozwiązań stosując metodę iteracji monotonicznych opartą na dolnych i górnych rozwiązaniach. Praca uogólnia szereg znanych wyników.
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Investigation of the Electrokinetic Properties of Paraffin Suspension. 1. In Inorganic Electrolyte Solutions
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Future Challenges and Issues in Evolution of the Smart Grid and Recommended Possible Solutions
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Thresholds of Lasing as Solutions of Characteristic Equation for a VCSEL-type Layered Structure
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Residual K1 and K2 Oscillations in Precise GPS Solutions: Case Study
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Cold sintering of colloidal silica particles using different alkali solutions
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Comparison of Photocatalytic and Photosensitized Oxidation of Paraben Aqueous Solutions Under Sunlight
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Problems in designing and operating the functional safety solutions of higher integriity levels
PublicationThe aim of this article is to identify and discuss some problems that have been encountered in designing and operating the functional safety solutions of higher safety integrity levels (SIL 3 and SIL 4) in the light of analyses outlined in a new version of the international standard IEC 61508:2010. Examples of such solutions are the electric / electronic / programmable electronic systems (E/E/PESs) and the safety instrumented systems...
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Quantum corrections to 4 model solutions and applications to Heisenberg chain dynamics
PublicationThe Heisenberg spin chain is considered in φ^4 model approximation. Quantum corrections to classical solutions of the one-dimensional φ^4 model within the correspondent physics are valuated with account of rest d − 1 dimensions of a d-dimensional theory. A quantization of the model is considered in terms of space- time functional integral. The generalized zeta-function formalism is used to renormalize and evaluate the functional...
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Existence of solutions with an exponential growth for nonlinear differential-functional parabolic equations
PublicationWe consider the Cauchy problem for nonlinear parabolic equations with functional dependence.We prove Schauder-type existence results for unbounded solutions. We also prove existence of maximal solutions for a wide class of differential functional equations.
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Antimicrobial properties of chitosan solutions, chitosan films and gelatin-chitosan films
PublicationThe antimicrobial properties of chitosan solutions and films against selected bacteria and the effect of chitosan incorporation into gelatin films were studied. The bactericidal effect of chitosan solutions increased with time and temperature of sample incubation. Two psychrotrophic strains Pseudomonas fluorescens and Listeria innocua were more sensitive to chitosan than mesophilic strains Escherichia coli and Staphylococcus aureus....
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Positive solutions to Sturm–Liouville problems with non-local boundary conditions
PublicationIn this paper, the existence of at least three non-negative solutions to non-local boundary-value problems for second-order differential equations with deviating arguments α and ζ is investigated. Sufficient conditions, which guarantee the existence of positive solutions, are obtained using the Avery–Peterson theorem. We discuss our problem for both advanced and delayed arguments. An example is added to illustrate the results.
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Positive solutions to fractional differential equations involving Stieltjes integral conditions
PublicationIn this paper, we investigate nonlocal boundary value problems for fractional differential equations with dependence on the first-order derivatives and deviating arguments. Sufficient conditions which guarantee the existence of at least three positive solutions are new and obtained by using the Avery–Peterson theorem. We discuss problems (1) and (2) when argument b can change the character on [0, 1], so in some subinterval I of...
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A note on an approximative scheme of finding almost homoclinic solutions for Newtonian systems
PublicationIn this work we will be concerned with the existence of an almost homoclinic solution for a perturbed Newtonian system in a finite dimensional space. It is assumed that a potential is C^1 smooth and its gradient is bounded with respect to a time variable. Moreover, a forcing term is continuous, bounded and squere integrable. We will show that the appproximative scheme due to J. Janczewska for a time periodic potential extends to...
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Construction solutions for historical object foundations in the context of changing their functional use
PublicationProperly executed renovation and adaptation of a grade listed property not only ensures its constructional safety, but may also highlight the object’s historical value. Taking into consideration various factors, such as divergence of interests, or technical and legal determinants, it is safe to say that the renovation and adaptation of grade listed properties for new purposes is a complex process. The authors of the paper wish...
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Positive solutions to advanced fractional differential equations with nonlocal boundary conditions
PublicationWe study the existence of positive solutions for a class of higher order fractional differential equations with advanced arguments and boundary value problems involving Stieltjes integral conditions. The fixed point theorem due to Avery-Peterson is used to obtain sufficient conditions for the existence of multiple positive solutions. Certain of our results improve on recent work in the literature.
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Reactions of methyl radicals with silica supported silver nanoparticles in aqueous solutions
PublicationSilica supported silver nanoparticles (Ag°–SiO2 –NCs, NCs=nanocomposites) suspended in aqueous solutions are efficient catalysts for the dimerization of methyl radicals to produce ethane, while bare silica is quite inert towards the interaction with methyl radicals. In the presence of small amounts of ethanol adsorbed on the SiO2 surface, the reaction path with methyl radicals is changed and methane is formed as the major product.
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Recovery of hydrochloric acid from metal pickling solutions by membrane distillation
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The Use of NaOH Solutions for Fouling Control in a Membrane Bioreactor: A Feasibility Study
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Membrane Distillation Crystallizer Applied for Separation of NaCl Solutions Contaminated with Oil
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In Search of the Innovative Digital Solutions Enhancing Social Pro-Environmental Engagement
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On existence and uniqueness of weak solutions for linear pantographic beam lattices models
PublicationIn this paper, we discuss well-posedness of the boundary-value problems arising in some “gradientincomplete” strain-gradient elasticity models, which appear in the study of homogenized models for a large class ofmetamaterials whosemicrostructures can be regarded as beam lattices constrained with internal pivots. We use the attribute “gradient-incomplete” strain-gradient elasticity for a model in which the considered strain energy...
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Mountain pass solutions to Euler-Lagrange equations with general anisotropic operator
PublicationUsing the Mountain Pass Theorem we show that the problem \begin{equation*} \begin{cases} \frac{d}{dt}\Lcal_v(t,u(t),\dot u(t))=\Lcal_x(t,u(t),\dot u(t))\quad \text{ for a.e. }t\in[a,b]\\ u(a)=u(b)=0 \end{cases} \end{equation*} has a solution in anisotropic Orlicz-Sobolev space. We consider Lagrangian $\Lcal=F(t,x,v)+V(t,x)+\langle f(t), x\rangle$ with growth conditions determined by anisotropic G-function and some geometric conditions...