| Title:
|
On some properties of solutions of the disconjugate equation $y'=q(t)y$ with an almost periodic coefficient $q$ (English) |
| Title:
|
O některých vlastnostech řešení diskonjugované rovnice $y'=q(t)y$ se skoroperiodickým koeficientem q (Czech) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
25 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
31-56 |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Keyword:
|
disconjugate differential equation |
| Keyword:
|
Riccati equation |
| MSC:
|
34A30 |
| MSC:
|
34C10 |
| MSC:
|
34C27 |
| idZBL:
|
Zbl 0644.34039 |
| idMR:
|
MR918368 |
| . |
| Date available:
|
2009-01-29T15:31:40Z |
| Last updated:
|
2015-03-16 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120172 |
| . |
| Reference:
|
[1] Borůvka O.: Linear Differential Transformations of the Second Order.The English Univ. Press, London, 1971. MR 0463539 |
| Reference:
|
[2] Borůvka O.: Teorija globalnych svojstv obyknovennych linějnych differencial'nych uravněnij vtorogo porjadka.Differencialnye uravněnija, No.8, t.12, 1976, 1347-1383. MR 0440123 |
| Reference:
|
[3] Charasachal V. Ch.: Počti-periodičeskie rešenija obyknovennych differencialnych uravněnij.Izdatělstvo "Nauka", Alma-Ata, 1970. |
| Reference:
|
[4] Levitan B. M.: Počti-periodičeskie funkcii.Moskva, 1953. MR 0060629 |
| Reference:
|
[5] Magnus M., Winkler S.: Hill’s Equation.Interscience Publishers, New York, 1966. Zbl 0158.09604, MR 0197830 |
| Reference:
|
[6] Magnus L., Moore R. A.: Oscillation and disconjugacy for linear differential equations with almost periodic coefficients.Acta Math., 96, 1956, 99-123. MR 0080813, 10.1007/BF02392359 |
| Reference:
|
[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. Zbl 0567.34029, MR 0744704 |
| Reference:
|
[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. Zbl 0584.34026, MR 0837029 |
| Reference:
|
[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. Zbl 0584.34025, MR 0837028 |
| Reference:
|
[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). |
| . |
