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Search results for: HETEROCLINIC SOLUTIONS
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Heteroclinic solutions for a class of the second order Hamiltonian systems
PublicationW pracy dowodzi się istnienia rozwiązań heteroklicznicznych dla pewnej klasy równań różniczkowych zwyczajnych drugiego rzędu typu hamiltonowskiego.
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Heteroclinic solutions of Allen-Cahn type equations with a general elliptic operator
PublicationWe consider a generalization of the Allen-Cahn type equation in divergence form $-\rm{div}(\nabla G(\nabla u(x,y)))+F_u(x,y,u(x,y))=0$. This is more general than the usual Laplace operator. We prove the existence and regularity of heteroclinic solutions under standard ellipticity and $m$-growth conditions.
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Homoclinic and Heteroclinic Orbits for a Class of Singular Planar Newtonian Systems
PublicationThe study of existence and multiplicity of solutions of differential equations possessing a variational nature is a problem of great meaning since most of them derives from mechanics and physics. In particular, this relates to Hamiltonian systems including Newtonian ones. During the past thirty years there has been a great deal of progress in the use of variational methods to find periodic, homoclinic and heteroclinic solutions...
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The existence and multiplicity of heteroclinic and homoclinic orbits for a class of singular Hamiltonian systems in R^2
PublicationW niniejszej pracy badamy autonomiczne układy Hamiltona na płaszczyźnie z potencjałem, który ma punkt osobliwy x, globalne minimum równe zero osiągane w punktach a i b różnych od x oraz spełnia warunek typu Gordona w otoczeniu punktu osobliwego. Wykorzystując metody wariacyjne i pojęcie rotacji krzywej wykazaliśmy, że istnieją co najmniej dwa rozwiązania, które omijają punkt osobliwy i łączą {a,b} z {a,b}.
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Existence of solutions of boundary value problems for differential equations in which deviated arguments depend on the unknown solution
PublicationPrzy pewnych warunkach, gdy m.in. funkcja f występująca po prawej stronie zagadnienia jest monotoniczna, pokazano że istnieje jedyne rozwiązanie problemu brzegowego dla równań różniczkowych z odchylonymi argumentami gdy ten argument odchylony zależy od nieznanego rozwiązania. Rozważano też zagadnienia gdy występuje więcej takich argumentów odchylonych. Otrzymane wyniki poparto przykładem.
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Sampling water and aqueous solutions
PublicationW pracy przedstawiono: klasyfikację technik pobierania próbek ciekłych; bu-dowę szerokiej gamy urządzeń (próbników) do pobierania próbek różnego typumediów ciekłych; sposoby konserwacji próbek; terminologię związaną z tymetapem procedur analitycznych.
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On constructional solutions for tensile structures
PublicationW pracy zebrano i opisano kilka wybranych rozwiazań konstrukcyjnych stosowanych powszechnie w membranowych konstrukcjach wiszących.
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Subharmonic solutions for a class of Lagrangian systems
PublicationWe prove that second order Hamiltonian systems with a potential of class C1, periodic in time and superquadratic at infinity with respect to the space variable have subharmonic solutions. Our intention is to generalise a result on subharmonics for Hamiltonian systems with a potential satisfying the global Ambrosetti-Rabinowitz condition from [P. H. Rabinowitz, Proc. Roy. Soc. Edinburgh Sect. A, 114 (1990), 33-38]. Indeed, we weaken...
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Bounded solutions of odd nonautonomous ODE
PublicationBorsuk-Ulam type argument is used in order to prove exstence of nontrivial bounded solutions to some nonautonomous differential euations which are odd with respect to the spatial variable. A Poincare compactification trick is also applied.
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Alternative Solutions for Small Hydropower Plants
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Hydroxide ion hydration in aqueous solutions
PublicationHydratacja anionu hydroksylowego w wodnych roztworach wybranych wodorotlenków metali alkalicznych została zbadana przy pomocy spektroskopii oscylacyjnej FTIR HDO izotopowo rozcieńczonej w H2O. Po raz pierwszy zastosowano do badań nad takimi układami ilościową wersję metody widm różnicowych. Pozwoliła ona na wyodrębnienie widma HDO zaburzonej przez substancję rozpuszczoną. Dane spektralne skonfrontowano z optymalnymi strukturami...
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Trunked Radio Solutions for Special Application
PublicationIn the paper modern concepts of radio communication trunking-dispatch systems for special applications are presented. Basic standards of TETRA, DMR, and cdma2000 are mentioned. The aim of the paper is to present innovative trunking solutions based on the LTE system working both in FDD and TDD mode. The architecture of LTE trunked radio is shown as well as new services possible to implementation are described. The way of TETRA and...
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Low-cost solutions for Martian base
PublicationZałogowe misje na Marsa planuje się na 2025-30 r. Wg programu DRM NASA misja trwać ma 2,5 roku, a załoga zamieszka w 2 metalowych ciasnych modułach. Jak wykazują badania socjopsychologów taka misja zakończy się niepowodzeniem. Duża i komfortowa baza wpłynie na zminimalizowanie wielu źródeł stresu. Współczesne technologie i obecny stan wiedzy o Marsie pozwalają na zaprojektowanie i wykonanie bazy marsjańskiej jako przyjaznego człowiekowi...
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Existence and approximate solutions of Neumann problems
PublicationDyskutowany jest problem Neumanna dla równań różniczkowych drugiego rzędu.Praca dotyczy istnienia rozwiązań i zbieżnosci iteracji monotonicznych któresą przybliżonymi rozwiązaniami omawianych zagadnień. Określone zostały wa-runki zbieżności takich ciągów oraz określono rodzaj tej zbieżnosci.
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Some solutions of unsteady flow in bioreactor.
PublicationCzas regeneracji chrząstki stawowej po urazie jest długotrwały. Czasem tkanka nie regeneruje się. Dlatego też przeszczepy odgrywają bardzo ważną rolę. Najlepsze efekty hodowli tkanek zaobserwowano w bioreaktorach wykonujących ruch obrotowy i zapewniających nieustalony charakter przepływu ciecy odżywczej. Dlatego tematem niniejszego artykułu są pewne metody i rozwiązania nieustalonego przepływu cieczy w warstwie przyściennej hodowanej...
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Approximation of extremal solutions for functional differential equations
PublicationDyskutowane są równania różniczkowe funkcyjne z liniowym warunkiem brzegowym. Podano warunki dostateczne dla istnienia ciągów monotonicznych, aproksymujących rozwiązania ekstremalne badanych zagadnień.
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Innovative Solutions for Immersive 3D Visualization Laboratory
PublicationThe paper presents results of the work concerning the technical specification of Immersive 3D Visualization Laboratory to be opened in late summer 2014 at the Faculty of Electronics, Telecommunications and Informatics at Gdańsk University of Technology in Poland. The person immersed in VR space will be placed in a transparent sphere with a diameter of over 10 feet, supported on rollers and equipped with a motion tracking system....
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Numerical solutions for blood flow in elastic vessels
PublicationWe consider the differential–algebraic system for the blood flow and pressure in the systemic arteries. By the operator splitting method, we transform the system into the hyperbolic one, introduce the bicharacteristics, and perform the time–space nonuniform discretization, obtaining the innovative difference scheme. Our results are illustrated with numerical experiments.
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Quantum corections to SG equation solutions and applications
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The Resistance of Polyethersulfone Membranes on the Alkaline Cleaning Solutions
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Concentration of FeSO4 spent solutions by membrane distillation
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A study of concentration depolarization and quenching of photoluminescence of solutions
PublicationThe concentration-dependence of emission anisotropy r/r0 and quantum yield eta/eta0 of the photoluminescence of glycerol-water solutions of rhodamine B in two systems of viscosities 7.4 P and 0.72 P is investigated. The experimental data are compared with the new theory of concentraticn depolarization (J. Lumin., 5, 413 (1972)) and concentration quenching of photoluminescence (Acta Phys. Hungar., 30, 145 (1972)), which takes...
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Nature and properties of metal cations in aqueous solutions
PublicationOpisano i przeanalizowano budowę chemiczną, właściwości chemiczne i właściwości kinetyczne kationów metali w roztworach wodnych. Zwrócono uwagę na czynniki decydujące o właściwościach fizycznych roztworów.Wskazano na korelacje między stanami koordynacyjnymi soli i właściwościami roztworów. Zwrócono uwagę na nowe elementy chemii roztworów wodnych.
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Protein thermal stabilization in aqueous solutions of osmolytes
PublicationProteins’ thermal stabilization is a significant problem in various biomedical, biotechnological, and technological applications. We investigated thermal stability of hen egg white lysozyme in aqueous solutions of the following stabilizing osmolytes: Glycine (GLY), N-methylglycine (NMG), N,N-dimethylglycine (DMG), N,N,N-trimethylglycine (TMG), and trimethyl-N-oxide (TMAO). Results of CD-UV spectroscopic investigation were compared...
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An Industrial Survey on Business Analysis Problems and Solutions
PublicationThe paper focuses on the problems reported by business analysts which have a negative impact on their work and on the applicability of available business analysis (BA) techniques as solutions to such problems. A unified set of BA techniques was developed on the basis of 3 industrial standards associated with IIBA, REQB and IREB certification schemes. A group of 8 business analysts was surveyed to list problems they encounter in...
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Business applications of geolocation - modern solutions and trends
PublicationThe technological development of geolocation systems has resulted in the utilization of physical location of users by a growing number of entrepreneurs. As mobile technology develops, the use of geolocation in business is becoming widespread with a new range of geomarketing techniques. Entrepreneurs therefore more often utilize geolocation in their promotional and operational activities. In this article mobile-based geolocation...
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Innovative Solutions in Surface Water Quality Monitoring
PublicationIn 2010 a project entitled "Integrated Support System for Management and Protection of Water Dam Reservoir (ZiZOZap)” was initiated, to aid solving water management problems on a river and dam reservoir formed on it. An innovative system of continuous monitoring was created, that encompassed selected physical and chemical parameters of river and lake waters in three chosen sites. This article presents a selection of results, that...
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Investigation of environmental influences to the precise GNNS solutions
PublicationThe results presented in this paper concern investigation of environmental influences to GNNS coordinates on the example of ASG-EUPOS network. The problem of the impact of environmental effects is crucial for observing gravity. Satellite systems are not as susceptible to changes in local hydrology or atmospheric effects, although significant influences are clearly visible in the change of coordinates. The authors analyzed daily...
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Problems and Solutions of Software Design in Scrum Projects
PublicationThe aim of the paper is to identify the problems and solutions of the software design in Scrum project as well as to analyze the effectiveness of the solutions. Through a series of workshops with 4 experts from IT industry and academia we have identified 52 problems and 99 unique solutions. In this paper we present a list of 10 common problems and 5 solutions for each problem selected by the number of sources. The effectiveness...
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Modern Material Solutions Applied in Pediatric Facilities
PublicationNew tendencies in forming of the health services functional buildings’ systems shaped along with the emergence of caring for patient’s mental condition in medical sciences. The interior design harmonized with the medical function became an incredibly important feature. This opened up new opportunities for the architecture of health care facilities. A positive architecture’s impact on the user’s well-being is remarkably important...
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Homoclinic solutions for nonautonomous second order Hamiltonian
PublicationW pracy dowodzi się istnienia rozwiązań homoklinicznych dla pewnych typów równań różniczkowych zwyczajnych drugiego rzędu typu hamiltonowskiego.
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Existence of solutions of differential equations with boundary conditions
PublicationPraca dotyczy równań różniczkowych z liniowym warunkiem brzegowym zależnym od parametru. Podane zostały warunki dostateczne na istnienie rozwiązania powyższego zagadnienia. Przy dowodzie i konstrukcji iteracji monotonicznych zastosowano metodę górnych i dolnych rozwiązań. O prawej stronie zagadnienia zakładano jednostronny warunek Lipschitza.
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Minimal and maximal solutions of differential equations with a singularmatrix.
PublicationPraca dotyczy zagadnień początkowych dla układów równań różniczkowych z macierzą osobliwą. Równania różniczkowo-algebraiczne są szczególnym przypadkiem takich zagadnień.Stosując metodę iteracji monotonicznych pokazano, że przy pewnych założeniach problem wyjściowy ma ekstremalne rozwiązania w pewnym sektorze.Teoretyczne rozważania zilustrowano przykładem.
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The interaction parameters for solutions of n-butylurea in aqueous solutions of N-methylacetamide – The volumetric and compressibility studies between 288.15 K and 308.15 K
PublicationDensities and speed of sound were measured for solutions of n-butylurea in aqueous solution of Nmethylacetamide 2, 4, 6 and 8 (mol/kg) at T = (288.15, 298.15 and 308.15) K. From these data the apparent molar volumes, Vf, the apparent molar isentropic compressions, KSf, of the solute were determined. The concentration dependencies of the calculated quantities have been used to obtain the standard partial molar parameters. The latter...
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Photodegradation and advanced oxidation of endocrine disruptors in aqueous solutions
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Solubilization of tetrachloroethylene and dichlorobenzene in micellar solutions of nonionic surfactants
PublicationZbadano solubilizację tetrachloroetylenu i dichlorobenzenu w roztworach surfaktantów niejonowych (oksyetylenowanych alkoholi tłuszczowych i alkilofenoli). Określono wpływ HLB badanych związków powierzchniowo czynnych na efektywność solubilizacji zanieczyszczeń organicznych. Największą efektywność solubilizacji tetrachloroetylenu zaobserwowano dla Rokafenolu N8. W przypadku dichlorobenzenu solubilizacja przebiegała najefektywniej...
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Existence of solutions of differential equations with nonlinearmultipoint boundary conditions.
PublicationSformułowano warunki dostateczne na istnienie rozwiązań (jedynego lubekstremalnych) dla równań różniczkowych z warunkami jak wyżej przyzastosowaniu metody iteracji monotonicznych. O prawej stronie zagadnienia i nieliniowym warunku brzegowym zakładano między innymi, że spełniają jednostronny warunek Lipschitza.
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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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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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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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SOCIALLY INVOLVED ARCHITECTURE � MODEL SOLUTIONS OF LUBUSKIE VOIVODESHIP
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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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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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Confined space effects driving to heterogenization of solutions at the interfaces
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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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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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Intelligent multimedia solutions supporting special education needs.
PublicationThe role of computers in school education is briefly discussed. Multimodal interfaces development history is shortly reviewed. Examples of applications of multimodal interfaces for learners with special educational needs are presented, including interactive electronic whiteboard based on video image analysis, application for controlling computers with facial expression and speech stretching audio interface representing audio modality....