A note on the oscillation of solutions of the differential equation y ' ' = λ q ( t ) y with a periodic coefficient

Staněk, Svatoslav

Czechoslovak Mathematical Journal (1979)

  • Volume: 29, Issue: 2, page 318-323
  • ISSN: 0011-4642

How to cite

top

Staněk, Svatoslav. "A note on the oscillation of solutions of the differential equation $y^{\prime \prime }=\lambda q(t)y$ with a periodic coefficient." Czechoslovak Mathematical Journal 29.2 (1979): 318-323. <http://eudml.org/doc/13133>.

@article{Staněk1979,
author = {Staněk, Svatoslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {oscillatory solution},
language = {eng},
number = {2},
pages = {318-323},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on the oscillation of solutions of the differential equation $y^\{\prime \prime \}=\lambda q(t)y$ with a periodic coefficient},
url = {http://eudml.org/doc/13133},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - A note on the oscillation of solutions of the differential equation $y^{\prime \prime }=\lambda q(t)y$ with a periodic coefficient
JO - Czechoslovak Mathematical Journal
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 29
IS - 2
SP - 318
EP - 323
LA - eng
KW - oscillatory solution
UR - http://eudml.org/doc/13133
ER -

References

top
  1. Борувка О., Теория глобальных свойств обыкновенных линейных дифференциальных уравнений второго порядка, Дифференциальные уравнения, No. 8, т. XII, 1976, 1347-1383. (1976) Zbl1170.01332
  2. Borůvka О., Sur les blocs des équations différentielles y ' ' = q ( t ) y aux coefficients périodiques, Rend. Mat. (2), 8, S. VI, 1975, 519-532. (1975) Zbl0326.34007MR0379945
  3. Еругин H. П., Линейные системы обыкновенных дифференциальных уравнений с периодическими и квазипериодичексими коэффициентами, Минск 1963. (1963) Zbl1145.93303
  4. Fink А. М., Mary D. F. St., A generalized Sturm comparison theorem and oscillation coefficients, Monatsh. Math., 73 (1969), 207-212. (1969) Zbl0182.12301MR0244561
  5. Hartman P., Ordinary differential equations, (in Russian), Moscow 1970. (1970) Zbl0214.09101
  6. Якубович В. A., Ctapжинский B. M., Линейные дифференциальные уравнения с периодическими коэффициентами и их приложения, Издательство ,,Наука", Москва 1970. (1970) 
  7. Markus L., Moore R. A., Oscillation and disconjugacy for linear differential equations with almost periodic coefficients, Acta Math., 96 (1956), 99-123. (1956) Zbl0071.08302MR0080813
  8. Малкин И. Г., Теория устойчивости движения, Издательство ,,Наука", Москва 1966. (1966) Zbl1155.78304
  9. Neuman F., Linear differential equations of the seond order and their applications, Rend. Mat. 4, 1971, 559-617. (1971) MR0311972

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.