On the generalized Floquet theory of disconjugate differential equations \(y^ n=\)q(t)y. (English) Zbl 0491.34038

Stanek, Svatoslav

Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 69, Math. 20, 101-115 (1981).

MSC:

34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34C25	Periodic solutions to ordinary differential equations
34D05	Asymptotic properties of solutions to ordinary differential equations

Keywords:

disconjugate differential equations; Floquet theory; oscillatory dispersion; characteristic multipliers

Citations:

Zbl 0466.34014

References:

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[3]	Borůvka O.: Sur les blocs des équations différentielles y” = q(t)y aux coefficients périodiques. Rend. Mat. (2), 8, S. VI, 1975, 519-532. · Zbl 0326.34007
[4]	Borůvka O.: Sur quelques compléments á la théorie de Floquet pour les équations différentielles du deuxième ordre. Ann mat. p. ed appl. S. IV, CII, 1975, 71-77. · Zbl 0311.34012
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[11]	Neuman F. and Staněk S.: On the structure of second-order periodic differential equations with given characteristic multipliers. Arch. Math. (Brno), 3, XIII, 1977, 149-158.
[12]	Staněk S.: Phase and dispersion theory of the differential equation y” = q(t)y in connection with the generalized Floquet theory. Arc\?. Math. (Brno), 2, XIV, 1978, 109-122. · Zbl 0412.34025
[13]	Staněk S.: On the structure of second-order linear differential equations with given charactenstic multipliers in the generalized Floquet theory. Arch. Math. (Brno), 4, XIV, 1978, 235-242.
[14]	Staněk S.: On an application of the generalized Floquet theory to the transformation of the equation y” = q(t)y into its associated equation. Acta Univ. Palackianae Olomucensis, 61 (1979), 81-92.
[15]	Staněk S.: The characteristic multipliers of a block and of an inverse block of second-order linear differential equations with \(\pi\)-periodic coefficients. Acta Univ. Palackianae Olomucensis, 57 (1978), 39-51.
[16]	Staněk S.: On the structure of the second-order periodic linear differential equations with the same characteristic multipliers. Acta Univ. Palackianae Olomucensis, 57(1978), 53-60.
[17]	Staněk S.: A note on disconjugate linear differential equations of the second order with periodic coefficients. Acta Univ. Palackianae Olomucensis, 51 (1979), 93 -101.