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    Graphical Solutions for the Characteristic Roots of the First Order Linear Differential-Difference Equation

    Source: Journal of Dynamic Systems, Measurement, and Control:;1979:;volume( 101 ):;issue: 001::page 37
    Author:
    G. M. Sandquist
    ,
    V. C. Rogers
    DOI: 10.1115/1.3426394
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Approximate values for all the apparent real and imaginary characteristic roots of the general first order linear differential-difference equation are determined (primarily graphically) without mathematical proof. These approximate values may then be iterated in a convergent form of the characteristic equation to provide any desired numerical accuracy as shown in several examples. A practical application involving the kinetic behavior of nuclear reactor systems with delayed neutrons is given and compared with the more familiar system solutions.
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      Graphical Solutions for the Characteristic Roots of the First Order Linear Differential-Difference Equation

    URI
    https://yetl.yabesh.ir/yetl1/handle/yetl/91989
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    • Journal of Dynamic Systems, Measurement, and Control

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    contributor authorG. M. Sandquist
    contributor authorV. C. Rogers
    date accessioned2017-05-08T23:06:27Z
    date available2017-05-08T23:06:27Z
    date copyrightMarch, 1979
    date issued1979
    identifier issn0022-0434
    identifier otherJDSMAA-26054#37_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/91989
    description abstractApproximate values for all the apparent real and imaginary characteristic roots of the general first order linear differential-difference equation are determined (primarily graphically) without mathematical proof. These approximate values may then be iterated in a convergent form of the characteristic equation to provide any desired numerical accuracy as shown in several examples. A practical application involving the kinetic behavior of nuclear reactor systems with delayed neutrons is given and compared with the more familiar system solutions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleGraphical Solutions for the Characteristic Roots of the First Order Linear Differential-Difference Equation
    typeJournal Paper
    journal volume101
    journal issue1
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.3426394
    journal fristpage37
    journal lastpage43
    identifier eissn1528-9028
    treeJournal of Dynamic Systems, Measurement, and Control:;1979:;volume( 101 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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