Geodesic
Amplitudes of linear oscillations determined by linear homogenous differential equation of the second order and Liouville-Besge formulae
Kragujevac Journal of Mathematics, Tome 35 (2011) no. 1, p. 89 .

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In this paper we present some quadraturic aspects of solving the equation by means of quadratures. It has a special comparative value when estimating Sturm's zeros, "periods" and variable amplitudes in cases which are solvable by means other than quadratures (iterations).
Classification : 34C10 34C20
Keywords: Linear differential equation of the second order, Quadraturally-oscillatory solutions, Variable amplitude, Relation between amplitude and frequency 
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Miloje Rajović; Dragan Dimitrovski. Amplitudes of linear oscillations determined by linear homogenous differential equation of the second order and Liouville-Besge formulae. Kragujevac Journal of Mathematics, Tome 35 (2011) no. 1, p. 89 . http://geodesic.mathdoc.fr/item/KJM_2011_35_1_a6/