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  • Articles: DFG German National Licenses  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    BIT 16 (1976), S. 215-222 
    ISSN: 1572-9125
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A collocation method for initial value problems, parametrized byn + 1, the number of collocation points, and δ, the step size, is shown (using Kantorovich's methods) to produce errors which are uniformlyO[δ/n] p+1 for linear time varying systems of ordinary differential equations whose solutions arepth order continuous. Using Wright's method, the single step error is shown to yield errors which areO[δ n+k+2 for anyk, 0 〈k 〈n, by suitable choice of the collocation points.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 3 (1969), S. 2-33 
    ISSN: 1573-2878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We apply the Caratheodory method to variational problems posed in a Banach space. A treatment of the problem of Lagrange leads to the necessary conditions for constrained optimal control problems. Specialization of the space leads to recovery of the usual necessary conditions and extension of the necessary conditions to a class of problems for systems with distributed parameters. The spaces are not restricted to be reflexive, thus permitting consideration of control problems in queuing theory and transport theory. An application to certain queuing processes completes the paper.
    Type of Medium: Electronic Resource
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