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    Wyświetlanie 1-8 z 8
    Tytuł:
    Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions
    Autorzy:
    Ntouyas, S.
    O'Regan, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/729421.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    semilinear differential inclusions
    nonlocal conditions
    analytic semigroups
    cosine functions
    integrated semigroups
    fixed point
    nonlinear alternative
    controllability
    Opis:
    In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 213-264
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A study of second order differential inclusions with four-point integral boundary conditions
    Autorzy:
    Ahmad, Bashir
    Ntouyas, Sotiris
    Powiązania:
    https://bibliotekanauki.pl/articles/729334.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    differential inclusions
    four-point integral boundary conditions
    existence
    nonlinear alternative of Leray Schauder type
    fixed point theorems
    Opis:
    In this paper, we discuss the existence of solutions for a four-point integral boundary value problem of second order differential inclusions involving convex and non-convex multivalued maps. The existence results are obtained by applying the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2011, 31, 2; 137-156
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Boundary value problems for n-th order differential inclusions with four-point integral boundary conditions
    Autorzy:
    Ahmad, B.
    Ntouyas, S. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/255975.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    differential inclusions
    four-point integral boundary conditions
    existence
    nonlinear alternative of Leray Schauder type
    fixed-point theorems
    Opis:
    In this paper, we discuss the existence of solutions for a four-point integral boundary value problem of n-th order differential inclusions involving convex and non-convex multivalued maps. The existence results are obtained by applying the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
    Źródło:
    Opuscula Mathematica; 2012, 32, 2; 205-226
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Solutions of the Hammerstein equations in $BV_\varphi(I_{a}^{b},\, \mathbb{R})
    Autorzy:
    Aziz, Wadie
    Guerrero, José
    Azócar, L.
    Merentes, Nelson
    Powiązania:
    https://bibliotekanauki.pl/articles/729582.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    Hammerstein integral equation
    Banach spaces
    bounded $\varphi$-variation in the sense of Hardy-Vitali-Tonelli
    Banach's contraction principle
    Leray-Schauder nonlinear alternative principle
    Opis:
    In this paper we study existence and uniqueness of solutions for the Hammerstein equation \[ u(x)= v(x) + \lambda \int_{I_{a}^{b}}K(x,y)f(y,u(y))dy \] \noi in the space of function of bounded total $\varphi$-variation in the sense of Hardy-Vitali-Tonelli, where $\lambda\in \mathbb{R}$, $K:I_a^b\times I_a^b \longrightarrow \mathbb{R}$ and $f:I_a^b\times \mathbb{R} \longrightarrow \mathbb{R}$ are suitable functions. The existence and uniqueness of solutions are proved by means of the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 2; 207-229
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Non-linear analysis of air pressure fluctuations during bubble departure synchronisation
    Autorzy:
    Dzienis, Paweł
    Mosdorf, Romuald
    Wyszkowski, Tomasz
    Rafałko, Gabriela
    Powiązania:
    https://bibliotekanauki.pl/articles/386823.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    bubble departure
    alternative bubble departures
    nonlinear methods of data analysis
    Opis:
    In the recent paper, non-linear methods of data analysis were used to study bubble departure synchronisation. In the experiment, bubbles were generated in engine oils from two neighbouring brass nozzles (with an inner diameter of 1 mm). During the experiment, the time series of air pressure oscillations in the air supply system and voltage changes on phototransistor were recorded. The analysis of bubble departure synchronisation was performed using a correlation coefficient. The following methods of non-linear data analysis are considered. Fast Fourier Transformation, autocorrelation, attractor reconstruction, correlation dimension, largest Lyapunov exponent and recurrence plot analysis were used to examine the correlation between bubbles behaviour and character of pressure fluctuations. Non-linear analysis of bubble departure synchronisation revealed that the way of bubble departures from two neighbouring nozzles does not depend simply on the character of pressure fluctuations in the nozzle air supply systems. The chaotic changes of the air pressure oscillations do not always determine the chaotic bubble departures.
    Źródło:
    Acta Mechanica et Automatica; 2019, 13, 3; 158-165
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Regulatory mechanisms of gene expression: complexity with elements of deterministic chaos
    Autorzy:
    Jura, Jolanta
    Węgrzyn, Paulina
    Jura, Jacek
    Koj, Aleksander
    Powiązania:
    https://bibliotekanauki.pl/articles/1041263.pdf
    Data publikacji:
    2006
    Wydawca:
    Polskie Towarzystwo Biochemiczne
    Tematy:
    linear and nonlinear responses
    somatic recombination
    biallelic expression
    alternative splicing
    epigenetics
    RNA editing
    monoallelic expression
    Opis:
    Linear models based on proportionality between variables have been commonly applied in biology and medicine but in many cases they do not describe correctly the complex relationships of living organisms and now are being replaced by nonlinear theories of deterministic chaos. Recent advances in molecular biology and genome sequencing may lead to a simplistic view that all life processes in a cell, or in the whole organism, are strictly and in a linear fashion controlled by genes. In reality, the existing phenotype arises from a complex interaction of the genome and various environmental factors. Regulation of gene expression in the animal organism occurs at the level of epigenetic DNA modification, RNA transcription, mRNA translation, and many additional alterations of nascent proteins. The process of transcription is highly complicated and includes hundreds of transcription factors, enhancers and silencers, as well as various species of low molecular mass RNAs. In addition, alternative splicing or mRNA editing can generate a family of polypeptides from a single gene. Rearrangement of coding DNA sequences during somatic recombination is the source of great variability in the structure of immunoglobulins and some other proteins. The process of rearrangement of immunoglobulin genes, or such phenomena as parental imprinting of some genes, appear to occur in a random fashion. Therefore, it seems that the mechanism of genetic information flow from DNA to mature proteins does not fit the category of linear relationship based on simple reductionism or hard determinism but would be probably better described by nonlinear models, such as deterministic chaos.
    Źródło:
    Acta Biochimica Polonica; 2006, 53, 1; 1-10
    0001-527X
    Pojawia się w:
    Acta Biochimica Polonica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Investigation of the Occurrence of Progressive Collapse in High-Rise Steel Buildings with Different Braced Configurations
    Autorzy:
    Saberi, Hamid
    Saberi, Vahid
    Sadeghi, Abbasali
    Pooyasefat, Abbas
    Noroozinejad Farsangi, Ehsan
    Powiązania:
    https://bibliotekanauki.pl/articles/2051568.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    high-rise steel buildings
    progressive collapse
    nonlinear dynamic analysis
    Alternative Path Method
    APM
    concentric bracing
    GSA guideline
    wysokie budynki stalowe
    postępujące zawalenie
    łańcuch uszkodzeń konstrukcji
    metoda APM
    Opis:
    The progressive collapse phenomenon refers to a chain of damages in a structure where all or a large part of the structure is destroyed by an initial local collapse in it, which can lead to very disastrous results. Therefore, the prevention of progressive collapse has become a necessary action in the design and analysis of buildings and it is vital to investigate this topic more accurately. This study aims to present a proposed pattern in the configuration of braces at the height of a high-rise steel building for reducing the probability of progressive collapse. In this regard, the vertical displacement of 18-story structure with four scenarios of column removal and five concentric bracing patterns including V, Inverted V, X, discontinuous X-bracing at height, and a combination of Xbracing in the side spans and discontinuous X-bracing at height in the middle spans are investigated and compared. In this study, the Alternative Path Method (APM) is used based on the GSA guideline for the analysis of progressive collapse. The results of this research showed that the use of X-bracing in the side spans and discontinuous X-bracing in the middle spans in nonlinear static and dynamic analyses performed better in reducing the probability of progressive collapse than other bracing configurations. Finally, it is recommended to use discontinuous X-bracing at the height that would place the bracings in one direction and providing alternative paths for force transferring in the structure.
    Źródło:
    Civil and Environmental Engineering Reports; 2021, 31, 4; 33-54
    2080-5187
    2450-8594
    Pojawia się w:
    Civil and Environmental Engineering Reports
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear multivalued boundary value problems
    Autorzy:
    Bader, Ralf
    Papageorgiou, Nikolaos
    Powiązania:
    https://bibliotekanauki.pl/articles/729304.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    usc and lsc multifunction
    measurable selection
    Leray-Schauder alternative theorem
    Sobolev space
    compact embedding
    maximal monotone map
    coercive map
    surjective map
    convex and nonconvex problem
    nonlinear boundary conditions
    Opis:
    In this paper, we study nonlinear second order differential inclusions with a multivalued maximal monotone term and nonlinear boundary conditions. We prove existence theorems for both the convex and nonconvex problems, when $domA ≠ ℝ^{N}$ and $domA = ℝ^{N}$, with A being the maximal monotone term. Our formulation incorporates as special cases the Dirichlet, Neumann and periodic problems. Our tools come from multivalued analysis and the theory of nonlinear monotone operators.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 1; 127-148
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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