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

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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

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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

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  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

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