Keywords: disconjugate differential equation; Riccati equation
@article{AUPO_1986_25_1_a2,
author = {Stan\v{e}k, Svatoslav},
title = {On some properties of solutions of the disconjugate equation $y'=q(t)y$ with an almost periodic coefficient $q$},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {31--56},
year = {1986},
volume = {25},
number = {1},
mrnumber = {918368},
zbl = {0644.34039},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_1986_25_1_a2/}
}
TY - JOUR AU - Staněk, Svatoslav TI - On some properties of solutions of the disconjugate equation $y'=q(t)y$ with an almost periodic coefficient $q$ JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 1986 SP - 31 EP - 56 VL - 25 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPO_1986_25_1_a2/ LA - en ID - AUPO_1986_25_1_a2 ER -
%0 Journal Article %A Staněk, Svatoslav %T On some properties of solutions of the disconjugate equation $y'=q(t)y$ with an almost periodic coefficient $q$ %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 1986 %P 31-56 %V 25 %N 1 %U http://geodesic.mathdoc.fr/item/AUPO_1986_25_1_a2/ %G en %F AUPO_1986_25_1_a2
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).