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Stanek, Svatoslav

On limit properties of phases and of central dispersions in the oscillatory equation y”=q(t)y with a periodic coefficient. (English) Zbl 0498.34017

Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 69, Math. 20, 85-92 (1981).
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MSC:

34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
34C25 Periodic solutions to ordinary differential equations

Keywords:

limit properties of phases; central dispersions; oscillatory equations
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\textit{S. Stanek}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 20, 85--92 (1981; Zbl 0498.34017)
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References:

[1] Borůvka O.: Linear Differential Transformations of the Second Order. English Univ. Press, London, 1971. · Zbl 0218.34005
[2] Borůvka O.: On central dispersions of the differential equation y” = q(t) y with periodic coefficients. Lecture Notes in Mathematics, 415 (1974), 47-60.
[3] Borůvka O.: Sur les blocs des équations différentielles y” = q(t)y aux coefficients périodique. Rend. Mat. 8 (1975), 519-532. · Zbl 0326.34007
[4] Borůvka O.: Sur quelques compléments á la théorie de Floquet pour les équations différentielles du deuxiéme ordre. Ann. Mat. Pura Appl. S. IV, CII (1975), 71-77. · Zbl 0311.34012
[5] Борувка О.: Тєоруя глобалъных свойсмв обыкновєнных лунєйных дуффєрєнцуалъных уравнєнуй вморого порядка. Диффєрєнциальныє уравнєния, No 8, T. 12, 1976, 1347-1383.
[6] Єндовицкий И. И.: Условуя усмойчувосму рєшєнуй лунєйного дуффєрєнцуалъного уравнєнуя вморого порядка с пєруодучєскум коэффуцуєнмом. Изв. выспшх уч. зав., мат., No 5, 1967, 28-33.
[7] Якубович В. А., Старжинский В. М.: Лунєйныє дуффєрєнцуалъныє уравнєнуя с пєруодучєскуму коэффуцуєнмаму у ух пруложєнуя. Изд. ”Наука”, Москва 1970.
[8] Magnus W., Winkler S.: Hill’s Equation. Interscience Publishers, New York, 1966. · Zbl 0158.09604
[9] Neuman F.: Note on bounded non-periodic solutions of second-order linear differential equations with periodic coefficients. Math. Nach. 39 (1969), 217-222. · Zbl 0169.41703
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