Stanek, Svatoslav On an application of the generalized Floquet theory to the transformation of the equation \(y^ n=\)q(t)y into its associated equation. (English) Zbl 0491.34039 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 61, Math. 18, 81-92 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. 34C20 Transformation and reduction of ordinary differential equations and systems, normal forms Keywords:Floquet theory; second order; differential equations; oscillatory differential equations; characteristic multiplier; quadratic algebraic equation Citations:Zbl 0222.34002 × Cite Format Result Cite Review PDF Full Text: EuDML References: [1] O. Borůvka: Linear differential transformations of the second order. The English Universities Press, London 1971. · Zbl 0218.34005 [2] О. Борувка: Тєоруя глобалъных свойсмв обыкновєнных лунєйных дуффєрєнцуалъных уравнєнуй вморого порядка. Диффєрєнциальныє уравнєния, No 8, t. XII, 1976, 1347-1383. [3] S. Staněk: Phase and dispersion theory of the differential equation y” = q(t)y in connection with the generalized Floquet theory. Arch. Math. (Brno), XIV, 2, 1978, 109-122. · Zbl 0412.34025 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.