Geodesic
Iterative algorithm of defining the stability of oscillations equation with damping
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 1, pp. 101-117

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The problem of studying parametric oscillations with damping is reduced to a spectral problem for a linear bunch of operators in the Hilbert space. Such spectral problem has an efficient algorithm of its solution. The boundaries of the first stability domain for different values of the damping factor and a special form of the periodic function being a part of the equation have been calculated. 
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     title = {Iterative algorithm of defining the stability of oscillations equation with damping},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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V. I. Tarakanov; S. A. Lysenkova. Iterative algorithm of defining the stability of oscillations equation with damping. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 1, pp. 101-117. http://geodesic.mathdoc.fr/item/SJVM_2012_15_1_a7/