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Time transformation for state-dependent delay differential equations
We study changes of variable, called time transformations, which
reduce a delay differential equation (DDE) with a variable non-vanishing delay
and an unbounded lag function to another DDE with a constant delay. By
using this reduction, we can easily obtain a superconvergent integration of the
original equation, even in the case of a non-strictly-increasing lag function, and
study the type of decay to zero of solutions of scalar linear non-autonomous
equations with a strictly increasing lag function
Time transformation for delay differential equations
We study changes of variable, called time transformations, which
reduce a delay differential equation (DDE) with a variable non-vanishing delay
and an unbounded lag function to another DDE with a constant delay. By
using this reduction, we can easily obtain a superconvergent integration of the
original equation, even in the case of a non-strictly-increasing lag function, and
study the type of decay to zero of solutions of scalar linear non-autonomous
equations with a strictly increasing lag function
Stability of solutions of delay functional integro-differential equations and their discretizations
The asymptotic stability and contractivity properties of solutions of a class of delay functional integro-differential equations are studied. Relevant properties of solutions of a particular equation as well as of a closely related linear version are discussed. The role of the integral delay operator is explained. The results obtained are used for explaining the analogous properties of numerical solutions generated by continuous Runge-Kutta or collocation methods
Standardmethoden der gesundheitsökonomischen Bewertung. Allgemeine Konzepte: Ökonomisches Prinzip, Wirtschaftlichkeitsprinzip, Rationalprinzip.
Going Beyond Counting First Authors in Author Co-citation Analysis
The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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