Wyniki wyszukiwania - Biblioteka Nauki

1

Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms

100%

Pişkin E.

Open Mathematics

|

2015

|

tom 13

|

nr 1

EN

We consider the existence, both locally and globally in time, the decay and the blow up of the solution for the extensible beam equation with nonlinear damping and source terms. We prove the existence of the solution by Banach contraction mapping principle. The decay estimates of the solution are proved by using Nakao’s inequality. Moreover, under suitable conditions on the initial datum, we prove that the solution blow up in finite time.

2

On the nonlocal Cauchy problem for semilinear fractional order evolution equations

100%

Wang J. , Zhou Y. , Fečkan M.

Open Mathematics

|

2014

|

tom 12

|

nr 6

911-922

EN

In this paper, we develop the approach and techniques of [Boucherif A., Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam. Systems Appl., 2007, 16(3), 507–516], [Zhou Y., Jiao F., Nonlocal Cauchy problem for fractional evolution equations, Nonlinar Anal. Real World Appl., 2010, 11(5), 4465–4475] to deal with nonlocal Cauchy problem for semilinear fractional order evolution equations. We present two new sufficient conditions on existence of mild solutions. The first result relies on a growth condition on the whole time interval via Schaefer fixed point theorem. The second result relies on a growth condition splitted into two parts, one for the subinterval containing the points associated with the nonlocal conditions, and the other for the rest of the interval via O’Regan fixed point theorem.

3

Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses

88%

Fečkan M. , Wang J. , Zhou Y.

Nonautonomous Dynamical Systems

|

2014

|

tom 1

|

nr 1

EN

In this paper, we consider periodic solutions for a class of nonlinear evolution equations with non-instantaneous impulses on Banach spaces. By constructing a Poincaré operator, which is a composition of the maps and using the techniques of a priori estimate, we avoid assuming that periodic solution is bounded like in [1-4] and try to present new sufficient conditions on the existence of periodic mild solutions for such problems by utilizing semigroup theory and Leray-Schauder's fixed point theorem. Furthermore, existence of a global compact connected attractor for the Poincaré operator is derived.

4

System of fractional differential equations with Erdélyi-Kober fractional integral conditions

75%

Thongsalee N. , Laoprasittichok S. , Ntouyas S. K. , Tariboon J.

Open Mathematics

|

2015

|

tom 13

|

nr 1

EN

In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.

5

The «clairvoyants des abîmes»: Cioran, Reader of F.M. Dostoievsky

75%

Guillem S. G.

Human and Social Studies

|

2013

|

tom 2

|

nr 3

124-139

EN

The discovery of F.M. Dostoyevsky by young E. M. Cioran marks a turning point for a better understanding of his first Romanian work and his later production in French. His first work, Pe culmile disperării [On the Heights of Despair] (1934) has a tragic breath, typically dostoyevskyan, which reminds us of the tragical and sick conscience of the (anti)hero of his Notes from the Underground (1864).

6

Nebýt či být? O zmatcích, které přináší asymetrický argument

75%

Vohánka V.

Studia theologica

|

2015

|

tom 3

50-74

EN

This paper examines in detail David Benatar’s asymmetry argument for his thesis that it would have been better for all people not to have begun to exist. Confused attempts to construe the thesis itself are dismissed, including some by Benatar himself (1). A more fitting reading is proposed: in all people self-regret due to one’s own coming into existence would be adequate (2). Benatar’s basic asymmetry of harms and benefits is accepted as a mere truism (3). The lack of any articulate transition from the asymmetry to the thesis on Benatar’s side is exposed. Although the transition is reconstructed from hints provided by him, it is found wanting (4). Finally, the novelty of the asymmetry argument is highlighted.

7

Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions

75%

Aqlan M. H. , Alsaedi A. , Ahmad B. , Nieto J. J.

Open Mathematics

|

2016

|

tom 14

|

nr 1

723-735

EN

We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions. Several existence criteria depending on the nonlinearity involved in the problems are presented by means of a variety of tools of the fixed point theory. The applicability of the results is shown with the aid of examples. Our results are not only new in the given configuration but also yield some new special cases for specific choices of parameters involved in the problems.

8

Estetyka egzystencji

75%

Rogoziecki R.

Estetyka i Krytyka

|

2003

|

nr 1(4)

83-97

PL

Estetyka egzystencji opiera się na przekonaniu, że życie codzienne stanowi obszar, w obrębie którego pojawiają się najbardziej fundamentalne kwestie filozoficzne. Estetyka egzystencji to koncepcja takiego stawania się życia ludzkiego, która odpowiada bardziej zasadom subiektywnego upodobania niż obiektywnym kategoriom: prawda - fałsz, dobro - zło. W tym ujęciu ludzka egzystencja jest oceniana wedle estetycznych pojęć: piękna, harmonii, brzydoty, niespójności. Estetyka egzystencji opiera się na "odwróceniu" wartości i przyznaniu dominującego znaczenia "estetyczności" w życiu ludzkim. W efekcie, podstawą dla wyboru określonego stylu życia stają się subiektywne uczucia przyjemności i przykrości, pojęte estetycznie.

EN

Aesthetics of existence can be generally described as an attempt to make use of specifically aesthetic values as a basis for shaping individual life. It is based on the conviction that the area in which the most fundamental philosophical questions arise is our everyday life. Aesthetics of existance means "entering" into being according to principles of subiective liking. Expressed in that way existence cannot be judged by means of concept like "true" or "false", "good" or "bad", "right" or "wrong", but only though categories like beauty, harmony, ugliness or inconsistency. Aesthetics of existence would being with the reversal of values and assigning the leading role to the aesthetic. In consequence the choice of that lifestyle (rather than some other) one would be based on the subjective feeling of pleasure or dislike (understood in aesthetic way). Aesthetics of existence positively understands death of god and man as a fact - it terminates thinking in metaphysical perspective and open the possibility of aesthetic one.

9

O możliwości komunikacji egzystencjalnej w filozofii Karla Jaspersa

75%

Kolasa D.

Filozofia Chrześcijańska

|

2015

|

tom 12

147-157

PL

The author tries to present different aspects of communication, which can be found in the philosophical work of Karl Jaspers. The beginning point is an immediate communication taking place in existence, and the goal is an existential communication, which enables existential elucidation. Jaspers believes that only in contact with other people one can be himself. Solitude is never a good answer to our problems.

10

Question of God – Today

63%

Müller G.

Roczniki Teologiczne

|

2019

|

tom 66

|

nr 2: Teologia dogmatyczna

5-18

EN

Contemporary atheism, which has its roots in the Enlightenment as well as in the 18th and 19th-century critique of religion, differs from the historically more distant forms of negating God's existence or His effectiveness in the world. These approaches assume that the human intellect has freed itself from the Dark Ages of metaphysics and theology of revelation to find its natural state in immanentism and secularism. In this way, the non-existence of God becomes unquestionable, because He is nothing more than an imaginary being, whose existence cannot be proved empirically or granted an a priori status. At the same time, some prominent thinkers challenge the conceptual viability of positivism. Their arguments pertain to the intellectual and existential questions that are inseparable from the spiritual nature of the human being. They also point to the argumentative conviction that the human being displays a predilection to investigate the transcendent origin and purpose of the world. Reference to God allows a reappraisal of the historical evidence of the historical act of God's revealing Himself through Jesus Christ. Faith in God, who is present in the world, gives hope even in the face of death, as Dietrich Bonhoeffer confessed shortly before his execution by the godless Nazis.

PL

Nowy ateizm, jaki wyłonił się z oświeceniowej i religijnej krytyki XVIII i XIX wieku, różni się od dawnych form negowania istnienia Boga czy też jego skuteczności w świecie. Wychodzi on z założenia, że intelekt wyzwolił się od zaciemnienia poprzez metafizykę i teologię objawienia i znalazł swój naturalny stan w immanentyzmie i sekularyzmie. Tym samym nieistnienie Boga byłoby oczywiste, ponieważ byłby On istotą wyimaginowaną, której istnienia nie można udowodnić empirycznie-naukowo a priori. Niektórzy prominentni myśliciele dowodzą intelektualnej niemożności pozytywizmu. Wychodząc od intelektualnych i egzystencjalnych pytań, których nie da się argumentacyjnie oddzielić od duchowej natury człowieka, dochodzą do przekonania, że człowiek stawiając pytania jest ukierunkowany na transcendentne pochodzenie i cel istnienia świata. W świetle ukierunkowania na Boga, historyczne świadectwo historycznego samoobjawienia się Boga w Jezusie Chrystusie może być ponownie ocenione. Wiara w Boga, który jest obecny w świecie, daje nadzieję także w obliczu śmierci, jak zeznał Dietrich Bonhoeffer na krótko przed swoją egzekucją przez bezbożnych nazistów.

11

Two-point boundary value problems for the generalized Bagley-Torvik fractional differential equation

63%

Staněk S.

Open Mathematics

|

2013

|

tom 11

|

nr 3

574-593

EN

We investigate the fractional differential equation u″ + A c D α u = f(t, u, c D μ u, u′) subject to the boundary conditions u′(0) = 0, u(T)+au′(T) = 0. Here α ∈ (1, 2), µ ∈ (0, 1), f is a Carathéodory function and c D is the Caputo fractional derivative. Existence and uniqueness results for the problem are given. The existence results are proved by the nonlinear Leray-Schauder alternative. We discuss the existence of positive and negative solutions to the problem and properties of their derivatives.

12

Affine compact almost-homogeneous manifolds of cohomogeneity one

63%

Guan D.

Open Mathematics

|

2009

|

tom 7

|

nr 1

84-123

EN

This paper is one in a series generalizing our results in [12, 14, 15, 20] on the existence of extremal metrics to the general almost-homogeneous manifolds of cohomogeneity one. In this paper, we consider the affine cases with hypersurface ends. In particular, we study the existence of Kähler-Einstein metrics on these manifolds and obtain new Kähler-Einstein manifolds as well as Fano manifolds without Kähler-Einstein metrics. As a consequence of our study, we also give a solution to the problem posted by Ahiezer on the nonhomogeneity of compact almost-homogeneous manifolds of cohomogeneity one; this clarifies the classification of these manifolds as complex manifolds. We also consider Fano properties of the affine compact manifolds.

13

Refleksy na powierzchni klosza. Otwórczości filmowej Kornela Filipowicza

51%

Lipowski W.

Images. The International Journal of European Film, Performing Arts and Audiovisual Communication

|

2009

|

tom 7

|

nr 13-14

308-313

EN

This is an overall review of little-knownpart of artistic creation of Kornel Filipowicz(1913–1990), writer of short stories, novels,scenarios, but also a poet. This reassessment isbased on his scenarios, which were created incollaboration with the film director StanisławRóżewicz and his brother, the poet Tadeusz.Informal company formed jointly created tenscenarios completed, Filipowicz participatedin the implementation of five titles. The textsdiscussed in the article mark the major stagesin the development of Filipowicz’s writingtechnique, illustrate his imaginative use ofvarious points of view and of various genresin the construction of film story, and exemplifythe wide range of his themes and interests.The article draws also the unpublished screenplaywritten by Kornel Filipowicz andStanisław Różewicz Sunset.

PL

Reflections on the surface of the lampshade. The film works of Kornel FilipowiczThis is an overall review of little-knownpart of artistic creation of Kornel Filipowicz(1913–1990), writer of short stories, novels,scenarios, but also a poet. This reassessment isbased on his scenarios, which were created incollaboration with the film director StanisławRóżewicz and his brother, the poet Tadeusz.Informal company formed jointly created tenscenarios completed, Filipowicz participatedin the implementation of five titles. The textsdiscussed in the article mark the major stagesin the development of Filipowicz’s writingtechnique, illustrate his imaginative use ofvarious points of view and of various genresin the construction of film story, and exemplifythe wide range of his themes and interests.The article draws also the unpublished screenplaywritten by Kornel Filipowicz andStanisław Różewicz Sunset.