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Dynamics of differentiation operators on generalized weighted Bergman spaces
The chaos of the differentiation operator on generalized weighted Bergman spaces of entire functions has been characterized recently by Bonet and Bonilla in [CAOT 2013], when the differentiation operator is continuous.
Zhang Liang, Zhou Ze-Hua
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Perseverative thinking and self-differentiation among patients with generalized anxiety disorder and normal people [PDF]
Generalized anxiety disorder is one of the most common anxiety disorders with high prevalence in community and clinical settings. The aim of this study was to compare perseverative thinking and self-differentiation in patients with generalized anxiety ...
Shiva Rahimzadegan
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The Current Spectrum Formation of a Non-Periodic Signal: A Differential Approach
The paper deals with the problem of forming spectra of non-periodic signals in real-time. The disadvantage of the existing approaches is the dependence of the formed spectrum on time as a parameter and the possibility of obtaining the signal spectrum in ...
Sergey Sokolov +2 more
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Optimal Control of Differential Inclusions, II: Sweeping
This paper is devoted to optimal control of dynamical systems governed by differential inclusions with discontinuous velocity mappings. This framework mostly concerns a new class of optimal control problems described by various versions of the socalled ...
B.S. Mordukhovich
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New nonlinear model of population growth. [PDF]
The model of population growth is revised in this paper. A new model is proposed based on the concept of fractional differentiation that uses the generalized Mittag-Leffler function as kernel of differentiation.
Badr Saad T Alkahtani +2 more
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Higher accuracy order in differentiation-by-integration
In this text explicit forms of several higher precision order kernel functions (to be used in the differentiation-by-integration procedure) are given for several derivative orders.
Andrej Liptaj
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Optimal Control of Differential Inclusions, I: Lipschitzian case
We develop the method of discrete approximations to study optimal control problems for differential inclusions by using advanced tools of variational analysis and generalized differentiation.
B.S. Mordukhovich
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A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results
In this paper, by differentiating the entropy’s generating function (i.e., h(t) = R SX̄F tX (x)dx) using a Caputo fractional-order derivative, we derive a generalized non-logarithmic fractional cumulative residual entropy (FCRE).
Slimane Benmahmoud
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Polynomial tempered distributions
In the article polynomial (nonlinear) analogue of tempered Schwartz distributions is constructed. Generalized operation of differentiation in the space of polynomial generalized functions as well as Fourier-Laplace transformation of such distributions ...
S. V. Sharyn
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An Enhanced Adaptive Bernstein Collocation Method for Solving Systems of ODEs
In this paper, we introduce two new methods to solve systems of ordinary differential equations. The first method is constituted of the generalized Bernstein functions, which are obtained by Bernstein polynomials, and operational matrix of ...
Ahmad Sami Bataineh +3 more
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