The oscillation of a forced equation implies the oscillation of the unforced equation - small forcings. (English) Zbl 0443.34032


34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
Full Text: DOI


[1] Heidel, J. W., Qualitative behaviour of solutions of a third order nonlinear differential equation, Pacific J. Math., 27, 507-526 (1968) · Zbl 0172.11703
[2] Kartsatos, A. G., On \(n\) th-order differential inequalities, J. Math. Anal. Appl., 52, 1-9 (1975) · Zbl 0327.34012
[3] Kartsatos, A. G., \(N\) th order oscillations with middle terms of order \(n-2\), Pacific J. Math., 67, 477-488 (1976) · Zbl 0348.34025
[4] Kartsatos, A. G., Recent results on oscillation of solutions of forced and perturbed nonlinear differential equations of even order, (Graef, J. R., Proceedings, NSF-CBMS Reg. Conference, Stability of Dynamical Systems. Proceedings, NSF-CBMS Reg. Conference, Stability of Dynamical Systems, Mississippi State University (1977), Dekker: Dekker New York) · Zbl 0193.05705
[5] Kiguradge, I. T., Oscillation properties of solutions of certain ordinary differential equations, Soviet Math., 3, 649-652 (1962) · Zbl 0144.11201
[6] Lazer, The behavior of solutions of the differential equation \(y\)″ + \(p(x) y\)′ + \(q(x) y = 0\), Pacific J. Math., 17, 435-465 (1966) · Zbl 0143.31501
[7] Ličko, I.; Švec, M., Le Caractère oscillatoire des solutions de l’équation \(y^{(n)} + f (x) y^{α\) · Zbl 0123.28202
[8] Staikos, V. A.; Sficas, Y. G., Forced oscillations for differential equations of arbitrary order, J. Differential Equations, 17, 1-11 (1975) · Zbl 0325.34082
[9] Wintner, A., A criterion of oscillatory stability, Quart. Appl. Math., 115-117 (1949) · Zbl 0032.34801
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.