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  • 1
    Electronic Resource
    Electronic Resource
    On the state stability of a system of integro-differential equations of nonstationary aeroelasticity (1994)
    Springer
    Journal of mathematical sciences 70 (1994), S. 1578-1585 
    Details
    ISSN: 1573-8795
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider a process of nonstationary aeroelasticity, which is described by a system of integro-dijferential equations that cannot be solved for the derivative. We formulate necessary and sufficient conditions, in terms of Lyapunov functionals, for the exponential stability of such a system with respect to the metric of an infinite Hilbert space. A formula is given for the total derivative of a Lyapunov functional via the initial equations of motion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02111014
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    V-Limit Analysis of Vector-Valued Mappings (2000)
    Springer
    Ukrainian mathematical journal 52 (2000), S. 1896-1912 
    Details
    ISSN: 1573-9376
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For an arbitrary net of mappings defined on subsets of the Hausdorff space (X, τ) and acting into a vector topological space (Y, τ) semiordered by a solid cone Λ, we introduce the notion of V-limit. We investigate topological and sequential properties of V-limit mappings and establish sufficient conditions for their existence. The results presented can be used as a basis for the procedure of averaging of problems of vector optimization.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1010408010561
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    Paper (German National Licenses)
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