Abstract
For a non-linear boundary value problem describing the shape of a heavy rotating chain a priori estimates of the maximal deflection are obtained. Also, for the transformed chain problem an extremum Variational principle and error estimates are presented.
Zusammenfassung
Für eine nichtlineare Differentialgleichung, die die Form einer schwer rotierenden Kette beschreibt, werden a priori Abschätzungen der maximalen Ausbiegung erhalten. Dabei werden für ein transformiertes Ketten-Problem ein extremales Variationsprinzip und die Feller Abschätzung angegeben.
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References
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Atanacković, T.M., Djukić, D.S. A note on the rotating chain problem. Z. angew. Math. Phys. 36, 757–763 (1985). https://doi.org/10.1007/BF00960386
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DOI: https://doi.org/10.1007/BF00960386