On some properties of solutions of the disconjugate equation y ' = q ( t ) y with an almost periodic coefficient q

Staněk, Svatoslav

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1986)

  • Volume: 25, Issue: 1, page 31-56
  • ISSN: 0231-9721

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Staněk, Svatoslav. "On some properties of solutions of the disconjugate equation $y^{\prime }=q(t)y$ with an almost periodic coefficient $q$." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 25.1 (1986): 31-56. <http://eudml.org/doc/23451>.

@article{Staněk1986,
author = {Staněk, Svatoslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {disconjugate differential equation; Riccati equation; disconjugate differential equation; Riccati equation},
language = {eng},
number = {1},
pages = {31-56},
publisher = {Palacký University Olomouc},
title = {On some properties of solutions of the disconjugate equation $y^\{\prime \}=q(t)y$ with an almost periodic coefficient $q$},
url = {http://eudml.org/doc/23451},
volume = {25},
year = {1986},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - On some properties of solutions of the disconjugate equation $y^{\prime }=q(t)y$ with an almost periodic coefficient $q$
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1986
PB - Palacký University Olomouc
VL - 25
IS - 1
SP - 31
EP - 56
LA - eng
KW - disconjugate differential equation; Riccati equation; disconjugate differential equation; Riccati equation
UR - http://eudml.org/doc/23451
ER -

References

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  1. Borůvka O., Linear Differential Transformations of the Second Order, The English Univ. Press, London, 1971. (1971) MR0463539
  2. Borůvka O., Teorija globalnych svojstv obyknovennych linějnych differencial'nych uravněnij vtorogo porjadka, Differencialnye uravněnija, No.8, t.12, 1976, 1347-1383. (1976) MR0440123
  3. Charasachal V. Ch., Počti-periodičeskie rešenija obyknovennych differencialnych uravněnij, Izdatělstvo "Nauka", Alma-Ata, 1970. (1970) 
  4. Levitan B. M., Počti-periodičeskie funkcii, Moskva, 1953. (1953) MR0060629
  5. Magnus M., Winkler S., Hill’s Equation, Interscience Publishers, New York, 1966. (1966) Zbl0158.09604MR0197830
  6. Magnus L., Moore R. A., 10.1007/BF02392359, Acta Math., 96, 1956, 99-123. (1956) MR0080813DOI10.1007/BF02392359
  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. (1983) Zbl0567.34029MR0744704
  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. (1984) Zbl0584.34026MR0837029
  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. (1984) Zbl0584.34025MR0837028
  10. Staněk S., A note on the oscillation of solutions of the differential equation y ' ' = λ q ( t ) y with an almost periodic coefficient, AUPO, Fac. rerum nat., Vol. 82, Math, XXIV (1985). (1985) 

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