ArticleOriginal scientific text
Title
Oscillation of a forced higher order equation
Authors 1
Affiliations
- Department of Mathematical Sciences, Appalachian State University, Boone, North Carolina 28608, U.S.A.
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.
Keywords
oscillation, nonlinear higher order equation, nonlinear functional
Bibliography
- L. Erbe, Oscillation, nonoscillation and asymptotic behaviour for third order nonlinear differential equations, Ann. Mat. Pura Appl. 110 (1976), 373-391.
- J. W. Heidel, Qualitative behaviour of solutions of a third order nonlinear differential equation, Pacific J. Math. 27 (1968), 507-526.
- 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.
- A. G. Kartsatos and W. A. Kosmala, The behaviour of an nth-order equation with two middle terms, ibid. 88 (1982), 642-664.
- W. A. Kosmala, Properties of solutions of the higher order differential equations, Differential Equations Appl. 2 (1989), 29-34.
- W. A. Kosmala, Behavior of bounded positive solutions of higher order differential equations, Hiroshima Math. J., to appear.
- W. A. Kosmala and W. C. Bauldry, On positive solutions of equations with two middle terms, Ann. Polon. Math. 50 (1990), 241-250.
- V. A. Staikos and Y. G. Sficas, Forced oscillations for differential equations of arbitrary order, J. Differential Equations 17 (1975), 1-11.