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The embedding problem in iteration theory
ESAIM: Proceedings and Surveys, 2014 This is a survey paper on selected topics concerning the embeddability of given mappings in real flows. Particular attention will be paid to the relationship between the problem of the embeddability and functional equations.Let X be a
Zdun Marek Cezary
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Enumerating alternating tree families [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We study two enumeration problems for $\textit{up-down alternating trees}$, i.e., rooted labelled trees $T$, where the labels $ v_1, v_2, v_3, \ldots$ on every path starting at the root of $T$ satisfy $v_1 < v_2 > v_3 < v_4 > \cdots$.
Markus Kuba, Alois Panholzer
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Inequalities for Information Potentials and Entropies
Mathematics, 2020 We consider a probability distribution p0(x),p1(x),… depending on a real parameter x. The associated information potential is S(x):=∑kpk2(x). The Rényi entropy and the Tsallis entropy of order 2 can be expressed as R(x)=−logS(x) and T(x)=1−S(x).
Ana Maria Acu +3 more
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Independence Characterization for Wishart and Kummer Random Matrices
Revstat Statistical Journal, 2020 We generalize the following univariate characterization of the Kummer and Gamma distributions to the cone of symmetric positive definite matrices: let X and Y be independent, non-degenerate random variables valued in (0,∞), then U = Y /(1 +X) and V = X ...
Bartosz Ko lodziejek +1 more
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Axioms, 2019 The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new ...
Irem Kucukoglu +2 more
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The equality case in some recent convexity inequalities [PDF]
Opuscula Mathematica, 2011 In this paper, we investigate a functional equation related to some recently introduced and investigated convexity type inequalities.
Gyula Maksa, Zsolt Páles
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Functional evolution equations
Journal of Mathematical Analysis and Applications, 2003 The paper concerns the functional evolution equation \[ u'(t) \in B u + F(t, u_t) , \;\;t >0, \] \[ u_0(s)= \phi(s)\in C^1([-r,0];X), \] where \(X\) is a real Banach space, not necessarily reflexive, \(F : [0,\infty) \times C([-r,0];X) \to X \) is a single-valued function and \(B: D(B)\subset X \to X\) is a multi-valued nonlinear operator.
openaire +2 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The asymptotic behavior of solutions of the system of difference equations with continuous time and lag function between two known real functions is studied.
Hajnalka Péics +3 more
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Some Economic Dynamics Problems for Hybrid Models with Aftereffect
Mathematics, 2020 In this paper, we consider a class of economic dynamics models in the form of linear functional differential systems with continuous and discrete times (hybrid models) that covers many kinds of dynamic models with aftereffect.
Eugene Bravyi +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Despite their increased risk for functional impairment resulting from cancer and its treatments, few adolescents and young adults (AYAs) with a hematological malignancy receive the recommended or therapeutic dose of exercise per week during inpatient hospitalizations.
Jennifer A. Kelleher +8 more
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