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

Qigui Yang

Annales Polonici Mathematici (2002)

  • Volume: 79, Issue: 2, page 185-198
  • ISSN: 0066-2216

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.