Oscillation of a forced higher order equation

Witold A. J. Kosmala

Annales Polonici Mathematici (1994)

  • Volume: 60, Issue: 2, page 137-144
  • ISSN: 0066-2216

Abstract

top
We state and prove two oscillation results which deal with bounded solutions of a forced higher order differential equation. One proof involves the use of a nonlinear functional.

How to cite

top

Witold A. J. Kosmala. "Oscillation of a forced higher order equation." Annales Polonici Mathematici 60.2 (1994): 137-144. <http://eudml.org/doc/262443>.

@article{WitoldA1994,
abstract = {We state and prove two oscillation results which deal with bounded solutions of a forced higher order differential equation. One proof involves the use of a nonlinear functional.},
author = {Witold A. J. Kosmala},
journal = {Annales Polonici Mathematici},
keywords = {oscillation; nonlinear higher order equation; nonlinear functional; asymptotic properties; forced nonlinear th order differential equation},
language = {eng},
number = {2},
pages = {137-144},
title = {Oscillation of a forced higher order equation},
url = {http://eudml.org/doc/262443},
volume = {60},
year = {1994},
}

TY - JOUR
AU - Witold A. J. Kosmala
TI - Oscillation of a forced higher order equation
JO - Annales Polonici Mathematici
PY - 1994
VL - 60
IS - 2
SP - 137
EP - 144
AB - We state and prove two oscillation results which deal with bounded solutions of a forced higher order differential equation. One proof involves the use of a nonlinear functional.
LA - eng
KW - oscillation; nonlinear higher order equation; nonlinear functional; asymptotic properties; forced nonlinear th order differential equation
UR - http://eudml.org/doc/262443
ER -

References

top
  1. [1] L. Erbe, Oscillation, nonoscillation and asymptotic behaviour for third order nonlinear differential equations, Ann. Mat. Pura Appl. 110 (1976), 373-391. Zbl0345.34023
  2. [2] J. W. Heidel, Qualitative behaviour of solutions of a third order nonlinear differential equation, Pacific J. Math. 27 (1968), 507-526. 
  3. [3] A. G. Kartsatos, The oscillation of a forced equation implies the oscillation of the unforced equation - small forcings, J. Math. Anal. Appl. 76 (1980), 98-106. Zbl0443.34032
  4. [4] A. G. Kartsatos and W. A. Kosmala, The behaviour of an nth-order equation with two middle terms, ibid. 88 (1982), 642-664. Zbl0513.34063
  5. [5] W. A. Kosmala, Properties of solutions of the higher order differential equations, Differential Equations Appl. 2 (1989), 29-34. 
  6. [6] W. A. Kosmala, Behavior of bounded positive solutions of higher order differential equations, Hiroshima Math. J., to appear. Zbl0835.34037
  7. [7] W. A. Kosmala and W. C. Bauldry, On positive solutions of equations with two middle terms, Ann. Polon. Math. 50 (1990), 241-250. Zbl0701.34047
  8. [8] V. A. Staikos and Y. G. Sficas, Forced oscillations for differential equations of arbitrary order, J. Differential Equations 17 (1975), 1-11. Zbl0325.34082

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.