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Search results for: heteroclinic solutions
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Homoclinic solutions for a class of the second order Hamiltonian systems
PublicationW niniejszej pracy badamy istnienie orbit homoklinicznych dlaukładu Hamiltonowskiego drugiego rzędu: q^{..} + V_{q}(t,q) = f(t), gdzie V z iloczynu kartezjańskiego R x R^{n} do R jest postaciV(t,q) = -K(t,q) + W(t,q). Zakładamy, ze V jest T-okresowe ze względuna zmienną t, K spełnia tzw. ''pinching'' warunek, W jest superliniowew nieskończoności, a norma f w L^{2} jest wystarczająco mała.Orbitę homokliniczną takiego układu znajdujemy...
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Differential equations with a singular matrix and convergence of approximate solutions
PublicationZastosowano metodę kwazilinearyzacji dla równań różniczkowych z macierzą osobliwą aby pokazać, że odpowiednie ciągi rozwiązań przybliżonych są kwadratowo zbieżne do rozwiązania naszego problemu.Metodę tę zastosowano do układów takich równań różniczkowych.
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Periodic Solutions of Generalized Lagrangian Systems with Small Perturbations
PublicationIn this paper we study the generalized Lagrangian system with a small perturbation. We assume the main term in the system to have a maximum, but do not suppose any condition for perturbation term. Then we prove the existence of a periodic solution via Ekeland’s principle. Moreover, we prove a convergence theorem for periodic solutions of perturbed systems.
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Numerical solutions for large deformation problems in geotechnical engineering
PublicationThe problem of large deformations often occurs in geotechnical engineering. Numerical modeling of such issues is usually complex and tricky. The chosen solution has to implicate soil-soil and soil-structure interactions. In this paper, a review of the most popular numerical methods for large deformation problems is presented. The Coupled Eulerian-Lagrangian (CEL) method, the Arbitrary Lagrangian-Eulerian (ALE) method, the Smoothed...
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Wetting of different solid materials with solutions of surfactants mixtures
PublicationBadanie zdolności zwilżających mieszanin niejonowego surfaktantu gemini S-10 z surfaktantami anionowymi CsDS (dodecylosiarczan cezu) i LiDS (dodecylosiarczan litu). Badane powierzchnie różniły się stopniem hydrofobowości (szkło, stal, polimetakrylan metylu). Niektóre mieszaniny wykazywały synergizm w procesie zwilżania.
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Kinetics of the crosslinking reaction between genipin and chitosan solutions
PublicationThe kinetics of the chitosan crosslinking reaction with genipin was examined. The strong relationship was found between crosslinking agent concentration, chitosan concentration, temperature and gelling time. Data obtained will be used in the proper selection of optimal genipin concentration for crosslinking chitosan solutions.
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Potential for ITS/ICT Solutions in Urban Freight Management
PublicationThe article presents a study on applying ITS solutions in planning and management of urban freight transport in Gdynia. The traffic management system Tristar which is under implementation and its related systems show a potential to assist in development of freight transport measures. Recommendations for urban freight policy development supplementing Gdynia's Sustainable Urban Mobility Plan were used as a basis for identification...
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Some mechatronic solutions towards a surveillance of mechanical systems
PublicationCelem artykułu jest przedstawienie nowych rozwiązań związanych z nadzorowaniem systemów mechanicznych. Przedstawia on zmodyfikowaną metodę nadzorowania drgań opartą na sterowaniu modalnym i energetycznym wskaźniku jakości, nadzorowanie drgań z wykorzystaniem zmiennej prędkości obrotowej, nadzorowanie drgań systemu hybrydowego z wykorzystaniem sterowania optymalnego i energetycznego wskaźnika jakosci oraz nadzorowanie ruchu mobilnego...
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Metal implants in ostheosynthesis - construction solutions, materials and applications
PublicationThe aim of the article is to present two case studies on intramedullary nails. The research included the evaluation of the type of fracture and the analysis of microstructure, chemical composition and hardness of the implant material.
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Power Converter Solutions for Industrial PV Applications—A Review
Publication: As the use of photovoltaics becomes more widespread, new technologies for more efficient energy generation, transmission, and distribution based on power electronics converters are being developed. The most common applications are grid-on, energy storage, hybrid, and high voltage gain applications. These applications impose several additional requirements in the design of power converters associated with the solar battery’s maximum...
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Existence of unbounded solutions to parabolic equations with functional dependence
PublicationThe Cauchy problem for nonlinear parabolic differential-functional equations is considered. Under natural generalized Lipschitz-type conditions with weights, the existence and uniqueness of unbounded solutions is obtained in three main cases: (i) the functional dependence u(·); (ii) the functional dependence u(·) and ∂xu(·); (iii) the functional dependence u(·)and the pointwise dependence ∂xu(t,x).
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On the existence of homoclinic type solutions of inhomogenous Lagrangian systems
PublicationWe study the existence of homoclinic type solutions for a class of inhomogenous Lagrangian systems with a potential satisfying the Ambrosetti-Rabinowitz superquadratic growth condition and a square integrable forcing term. A homoclinic type solution is obtained as a limit of periodic solutions of an approximative sequence of second order differential equations.
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Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions
Publicationwe address the well-posedness of the planar linearized equilibrium problem for homogenized pantographic lattices. To do so: (i) we introduce a class of subsets of anisotropic Sobolev’s space as the most suitable energy space E relative to assigned boundary conditions; (ii) we prove that the considered strain energy density is coercive and positive definite in E ; (iii) we prove that the set of placements for which the strain...
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Hydration of Simple Model Peptides in Aqueous Osmolyte Solutions
PublicationThe biology and chemistry of proteins and peptides are inextricably linked with water as the solvent. The reason for the high stability of some proteins or uncontrolled aggregation of others may be hidden in the properties of their hydration water. In this study, we investigated the effect of stabilizing osmolyte–TMAO (trimethylamine N-oxide) and destabilizing osmolyte–urea on hydration shells of two short peptides, NAGMA (N-acetyl-glycine-methylamide)...
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Conductivity, structure, and thermodynamics of Y2Ti2O7–Y3NbO7 solid solutions
PublicationThe defect fluorite yttrium niobate Y3NbO7 and pyrochlore yttrium titanate Y2Ti2O7 solid solutions have been synthesized via a solid state synthesis route. The resulting stoichiometry of the oxides is Y2+xTi2−2xNbxO7, where x = 0 to x = 1. All of the samples were single-phase; however, for those with a predominant fluorite phase, a small amount of additional pyrochlore phase was detected. The volume of the solid solution unit cells...
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Fundamental properties of solutions to fractional-order Maxwell's equations
PublicationIn this paper, fundamental properties of solutions to fractional-order (FO) Maxwell's equations are analysed. As a starting point, FO Maxwell's equations are introduced in both time and frequency domains. Then, we introduce and prove the fundamental properties of electromagnetic field in FO electromagnetics, i.e. energy conservation, uniqueness of solutions, and reciprocity. Furthermore, the algorithm of the plane wave simulation...
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Scenario-planning solutions for waterfront flood-prone areas
PublicationThe aim of this article is to discuss the potential of applying scenario planning to achieve resilient and future-oriented solutions for flood-prone areas. The authors have proposed additions to scenario-planning processes based on the introduction of research-by-design architectural inquiries. Examined in this article is the insight into the testing of such a modified scenario-planning methodology during two courses that accompanied...
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Approximate solution for Euler equations of stratified water via numerical solution of coupled KdV system
PublicationWe consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial-boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function. The orthogonal eigenfunctions describe a vertical shape of the internal wave modes and satisfy a Sturm-Liouville problem. The horizontal profile is defined by a coupled KdV system which is...
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Quantum corrections to quasi-periodic solution of Sine-Gordon model and periodic solution of phi^4 model
PublicationAnalytical form of quantum corrections to quasi-periodic solution of Sine-Gordon model and periodic solution of phi^4 model is obtained through zeta function regularisation with account of all rest variables of a d-dimensional theory. Qualitative dependence of quantum corrections on parameters of the classical systems is also evaluated for a much broader class of potentials u(x) = b^2 f(bx) + C with b and C as arbitrary real constants
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Dimension of the solution set for differential inclusions
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Trust Case: justifying trust in an IT solution
PublicationW artykule prezentujemy podejście wykorzystane przy budowie dowodu zaufania (ang. trust case) do DRIVE, infrastruktury informatycznej wspomagającej dystrybucję i podawanie leków. Cele DRIVE obejmowały bezpieczniejszą i mniej kosztowną dystrybucję leków. Dowód zaufania reprezentuje argumentację przemawiającą za tym, że DRIVE jest godne zaufania. Składa się on z żądań (ang. claims) postulujących pewne związane z zaufaniem własności...
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Hydration of Oxometallate Ions in Aqueous Solution
PublicationThe strength of hydrogen bonding to and structure of hydrated oxometallate ions in aqueous solution have been studied by double difference infrared (DDIR) spectroscopy and large-angle X-ray scattering (LAXS), respectively. Anions are hydrated by accepting hydrogen bonds from the hydrating water molecules. The oxygen atom of the permanganate and perrhenate ions form weaker and longer hydrogen bonds to water than the hydrogen bonds...
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Multimode systems of nonlinear equations: derivation, integrability, and numerical solutions
PublicationWe consider the propagation of electromagnetic pulses in isotropic media taking a third-order nonlinearityinto account. We develop a method for transforming Maxwell's equations based on a complete set ofprojection operators corresponding to wave-dispersion branches (in a waveguide or in matter) with thepropagation direction taken into account. The most important result of applying the method is a systemof equations describing the...
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Micellar solubilization of mineral and synthetic oils in nonionic surfactant solutions
PublicationZbadano solubilizację micelarną olejów mineralnych i syntetycznych (PAO6) w wodnych roztworach surfaktantów niejonowych (oksyetylenowanych alkoholi tłuszczowych). Dodatek kosurfaktanta (alkoholu amylowego) powodował znaczny wzrost efektywności solubilizacji badanych olejów. Najwyższą efektywność solubilizacji uzyskano dla roztworów Rokanolu NL6 (50 g/dm3) z dodatkiem alkoholu amylowego (2-2.5%). Ze wzrostem liczby grup oksyetylenowych...
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Technological innovation and cost-benefit analysis of safety-related solutions
PublicationW rozdziale przedstawia się aktualne zagadnienia dotyczące innowacji technologicznych oraz analizę kosztów i efektów rozwiązań związanych z bezpieczeństwem na przykładzie systemów elektrycznych, elektronicznych i programowalnych elektronicznych (E/E/PE), pełniących funkcje monitorowania, sterowania i zabezpieczeń w instalacjach podwyższonego ryzyka. Podkreśla się znaczenie kryteriów związanych z bezpieczeństwem, takich jak tolerowalność...
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Flavin mononucleotide fluorescence intensity decay in concentrated aqueous solutions
PublicationCzasowo-rozdzielone widma absorpcji i fluorescencji FMN w roztworach wodnych zostały zmierzone dla szerokiego zakresu stężeń. Pokazano, że zaniki fluorescencji są silnie przyśpieszone przez obecność dimerów FMN, które stanowią niedoskonałe pułapki energii wzbudzenia. Wyniki doświadczalne porównano z rezultatami symulacji Monte-Carlo, uwzględniającej powrotny transfer energii od pułapek do donorów, stwierdzając dobrą zgodność modelu...
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Solutions of inverter systems in Shore-to-Ship Power supply systems
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Generalized solutions of first order partial differential functional inequalities
PublicationW pracy rozważa się zagadnienia początkowo brzegowe dla nieliniowych równań różniczkowo funkcyjnych cząstkowych pierwszego rzędu. Podano dowód jednoznaczności rozwiązań uogólnionych. Oparty jest on na twierdzeniu porównawczym dla nierówności różniczkowo funkcyjnych w sensie Caratheodory'ego. Prezentowane jest twierdzenie o uogólnionych rozwiązaniach nierówności różniczkowo funkcyjnych.
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Effect of Starch Phosphorylation on Interaction With Chromium Ions in Aqueous Solutions
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Zinc Removal from the Aqueous Solutions by the Chemically Modified Biosorbents
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Impacts of inorganic/organic pollutants on agroecosystems and eco-friendly solutions
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Environmentally friendly material solutions in the technology of autoclaved aerated concrete
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A Criterion for Conditional Instability by the First Approximation for Solutions of Differential Systems
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Computational studies of intermolecular interactions in aqueous solutions of poly(vinylmethylether)
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Ciprofloxacin removal from aqueous solutions by ozonation with calcium peroxide
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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
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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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Fouling of nanofiltration membranes used for separation of fermented glycerol solutions
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The study of membrane distillation used for separation of fermenting glycerol solutions
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The influence of salt in solutions on hydrochloric acid recovery by membrane distillation
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Process Control Challenges and Solutions: TEOS, W, and CU CMP
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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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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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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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Modern solutions in the field of microextraction using liquid as a medium of extraction
PublicationThe monitoring of compounds present in samples at trace/ultra-trace level usually requires a preliminary step of isolation and/or enrichment of analytes. Against, sample preparation is considered as crucial part of whole analytical procedures, in particular in samples characterized by complex matrices composition. Several new miniaturized extraction techniques is introduced and extensively applied to different type of samples....
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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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Existence of solutions for a coupled system of difference equations with cousal operators
PublicationPraca dotyczy układów równań różnicowych. Podano warunki dostateczne na istnienie rozwiązań takich problemów. Badano również nierówności różnicowe.
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The Analysis and Solutions to the Problems of IPv6 Configuration Migration of Small Networks
PublicationThe paper analyzes the problems of IPv4 to IPv6 migration processes and indicates the areas in which migration can be done without expensive replacement of hardware, software and organizational changes. This paper presents the migration tools developed for the SOHO network administrators. The tools provide theoretical knowledge and practical advices on migrating to IPv6 and enable automation of the migration process. The article...
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A new technology of crude vegetable oil degumming with rhamnolipid solutions
PublicationA new technology of crude vegetable oil degumming is described. It is based on rhamnolipid biocomplex solution application for phosphatides removal. The rhamnolipid biocomplex produced by Pseudomonas sp. PS-17 was used as biosurfactant. Rapeseed oil was used in all experiments. First, it was degummed with H2SO4 in order to remove all phosphatides and then 1% (w/w) of granular soybean lecithin was added. Model oil was treated with...