Konjunkturschwankungen Markoffschern-Personen-Prozesse mit monomialer Regelung

Ohne ZusammenfassungHerrnHellmuth Kneser zum 60. Geburtstag am 16. April 1958 gewidmet     

Ein eindeutigkeitssatz für strahlungslösungen eines übergangsproblems zur schwingungsgleichung mit unbeschränkter trennfläche

We shall derive a Rellich-type-estimate for solutions in R ^N of a transmission problem associated with a second order uniformly elliptic differential operator of Helmholtz-type. The transitional surface is supposed to be unbounded and a characterization of its behaviour at infinity is given. Using this estimate, we can prove a uniqueness theorem for radiation solutions of the transmission problem.     

Zahlentheoretische Anwendung eines Taubersatzes mit Restglied

Ohne Zusammenfassung     

Die Stoppverteilungen eines Markoff-Prozesses mit lokalendlichem Potential

Consider a Markovian standard semigroup P_t, t≥o, with potential kernel U=∫P_tdt on a locally compact space E. Let μ be a finite measure on E with locally finite potential μ^U and X_t, t≥O, the process having (P_t) as transition semigroup and μ as initial law. Then for a measure ν on E the following two statements are equivalent:

1. μ^U≥νU;
2. there exists a “randomized” stopping time T such that X_T is distributed according to ν.

     

Untersuchung eines Produktspektrums mit Hilfe der Cluster-Analyse

Zusammenfassung Die Erfahrungen mit den Realdaten eines Unternehmens der Elektroindustrie zeigen, daß die Anwendung der Clusteranalyse für die Untersuchung von Produktspektren sinnvoll sein kann. Positive Ergebnisse wurden insbesondere bei Untersuchungen zur Neuordnung der Fertigungsstruktur erzielt. Der vorliegende Aufsatz beschreibt Vorgehensweise und Ergebnisse der Cluster-Analyse bei ihrer praktischen Anwendung auf die fertigungstechnologische Produktanalyse anhand eines Beispiels mit gemischten Daten.

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Summary The experience gained with real data of an enterprise of the electrical industry shows that cluster analysis can be usefully applied for investigations into the spectrum of products. In particular positive results were gained with regard to the rearrangements in the production field. This paper describes procedure and results of a practical application of cluster analysis for a product classification with mixed data from the production engineers' point of view.

     

Verallgemeinerte Nicht-Lokalität bei elastischen Kontinua mit Mikrostruktur in 3n Dimensionen

Summary Starting from the atomic lattice theory a theory of continuum in 3n dimensions will be developed, whereby the whole continuum consists ofn interleaved subcontinua. From the nonlocality of the atomic forces of interaction a certain substructure of the subcontinua follows. This interpretation implies that special derivations of the vectors of acceleration in the system of equations of motion exist.     

Wellensysteme in einem geraden dünnen elastischen Verbundstab mit drei Segmenten verschiedener Impedanz

Wave trains of diffraction of an incident pulse in a thin composite rod are determined by means of the well-known reflection and transmission coefficients of plane waves at plane interfaces. The discrete spectrum of the interface stresses of an elastic inclusion is compared with a corresponding continuous spectrum of interface stresses when a rigid but mobile inclusion is inserted. The background of the considerations is the problem of tensile failure of interface bonds in a composite body subjected to compressive pulse loads. The analogy in response found between stiff elastic and rigid inclusions in the one-dimensional case considerably simplifies the problems encountered in more complicated geometrical configurations as, e.g., the problem of a fiber reinforced infinite matrix body.

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Herrn Professor Heinz Parkus zum 60. Geburtstag gewidmet.     

Abschätzungssätze für parabolische Funktional-Differential-Operatoren mit Funktional-Randbedingungen

For nonlinear parabolic functional-differential operators with nonlinear functional-boundary conditions of first and third kind, involving time-derivatives on the boundary, a uniform conception for one- and two-sided estimations on unbounded domains is introduced. In the infinity variable growth conditions are given. As a conclusion stability, uniqueness and a maximum principle follow.