On some properties of solutions of the disconjugate equation $y'=q(t)y$ with an almost periodic coefficient $q$
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 25 (1986) no. 1, pp. 31-56 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 34A30, 34C10, 34C27
Keywords: disconjugate differential equation; Riccati equation
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Staněk, Svatoslav. On some properties of solutions of the disconjugate equation $y'=q(t)y$ with an almost periodic coefficient $q$. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 25 (1986) no. 1, pp. 31-56. http://geodesic.mathdoc.fr/item/AUPO_1986_25_1_a2/

[1] Borůvka O.: Linear Differential Transformations of the Second Order. The English Univ. Press, London, 1971. | MR

[2] Borůvka O.: Teorija globalnych svojstv obyknovennych linějnych differencial'nych uravněnij vtorogo porjadka. Differencialnye uravněnija, No.8, t.12, 1976, 1347-1383. | MR

[3] Charasachal V. Ch.: Počti-periodičeskie rešenija obyknovennych differencialnych uravněnij. Izdatělstvo "Nauka", Alma-Ata, 1970.

[4] Levitan B. M.: Počti-periodičeskie funkcii. Moskva, 1953. | MR

[5] Magnus M., Winkler S.: Hill’s Equation. Interscience Publishers, New York, 1966. | MR | Zbl

[6] Magnus L., Moore R. A.: Oscillation and disconjugacy for linear differential equations with almost periodic coefficients. Acta Math., 96, 1956, 99-123. | DOI | MR

[7] Staněk S.: On the basic central dispersion of the differential equation $y'' = q(t)y$ with an almost periodic coefficient. AUPO, Fac. rerum nat., Vol. 76, Math. XXII (1983), 99-105. | MR | Zbl

[8] Staněk S.: On properties of derivatives of the basic central dispersion in an oscillatory equation $y'' = q(t)y$ with an almost periodic coefficient $q$. AUPO, Fac. rerum nat., Vol. 79, Math. XXIII (1984), 45-50. | MR | Zbl

[9] Staněk S.: On the basic second kind central dispersion of $y'' = q(t)y$ with an almost periodic coefficient $q$. AUPO, Fac. rerum nat., Vol. 79, Math, XXIII (1984), 39-44. | MR | Zbl

[10] Staněk S.: A note on the oscillation of solutions of the differential equation $y'' = \lambda q(t)y$ with an almost periodic coefficient. AUPO, Fac. rerum nat., Vol. 82, Math, XXIV (1985).