Interval oscillation criteria for second order self-adjoint matrix differential systems with damping

Qigui Yang. "Interval oscillation criteria for second order self-adjoint matrix differential systems with damping." Annales Polonici Mathematici 79.2 (2002): 185-198. <http://eudml.org/doc/280838>.

@article{QiguiYang2002,
abstract = { 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. },
author = {Qigui Yang},
journal = {Annales Polonici Mathematici},
keywords = {self-adjoint},
language = {eng},
number = {2},
pages = {185-198},
title = {Interval oscillation criteria for second order self-adjoint matrix differential systems with damping},
url = {http://eudml.org/doc/280838},
volume = {79},
year = {2002},
}

TY - JOUR
AU - Qigui Yang
TI - Interval oscillation criteria for second order self-adjoint matrix differential systems with damping
JO - Annales Polonici Mathematici
PY - 2002
VL - 79
IS - 2
SP - 185
EP - 198
AB - 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.
LA - eng
KW - self-adjoint
UR - http://eudml.org/doc/280838
ER -