An oscillation criterion for nonhomogeneous half-linear differential equations. (English) Zbl 1023.34029
Summary: By means of a classical inequality and an averaging technique, the authors obtain an oscillation criterion for nonhomogeneous half-linear differential equations. This result is much more general than a recent result of J. S. W. Wong [J. Math. Anal. Appl. 231, 235-270 (1999; Zbl 0922.34029)] and makes use of the oscillatory behavior of the forcing terms on intervals.
MSC:
| 34C10 | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations |
Citations:
Zbl 0922.34029References:
| [1] | Hardy, G. H.; Littlewood, J. E.; Polya, G., (Inequalities (1988), Cambridge University Press: Cambridge University Press Cambridge) · JFM 60.0169.01 |
| [2] | Wong, J. S., Oscillation criteria for a forced second order linear differential equation, J. Math. Anal. Appl., 231, 235-240 (1999) · Zbl 0922.34029 |
| [3] | Leighton, W., Comparison theorems for linear differential equations of second order, Proc. Amer. Math. Soc., 13, 603-610 (1962) · Zbl 0118.08202 |
| [4] | Jaros, J.; Kusano, T., A Picone type identity for second order half-linear differential equation, Acta Math. Univ. Comenianae, 68, 1, 137-151 (1999) · Zbl 0926.34023 |
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