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  • 1
    Electronic Resource
    Electronic Resource
    The stability on the solution of the initial value problem (1991)
    Springer
    Applied mathematics and mechanics 12 (1991), S. 1001-1008 
    Details
    ISSN: 1573-2754
    Keywords: stability ; initial value problem ; differentiability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, using the differentiability of the solution with respect to the initial value and the parameter, we present a method which, different from Liapunov's direct method, will determine the stability of the non-stationary solution of the initial value problem when the non-stationary solution remains unknown.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451486
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Free vibration of a class of Hill's equation having a small parameter (1990)
    Springer
    Applied mathematics and mechanics 11 (1990), S. 355-361 
    Details
    ISSN: 1573-2754
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, we consider the initial value problem of a class of Hill's equation having a small parameter. Using the solvable condition of boundary value problem and the stretched parameter method in the perturbation techniques, we present the method which can be applied to obtain asymptotic periodic solution of the initial value problem. As an example, we consider Mathieu equation and present its computational result.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02015118
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