By using the generalized Riccati technique and the averaging technique, we establish new oscillation criteria for the second order self-adjoint matrix differential system with damping (P(t)Y'(t))' + r(t)P(t)Y'(t) + Q(t)Y(t) = 0, t ≥ t₀. The criteria are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t₀,∞), rather than on the whole half-line. In particular, our results complement a number of existing results and handle a case that is not covered by known criteria. Moreover, examples indicating the importance of our results are also included.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap79-2-8,
author = {Qigui Yang},
title = {Interval oscillation criteria for second order self-adjoint matrix differential systems with damping},
journal = {Annales Polonici Mathematici},
volume = {79},
year = {2002},
pages = {185-198},
zbl = {1118.34315},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap79-2-8}
}
Qigui Yang. Interval oscillation criteria for second order self-adjoint matrix differential systems with damping. Annales Polonici Mathematici, Tome 79 (2002) pp. 185-198. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap79-2-8/