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

• Autorzy: Qigui Yang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
• 34A30: Linear equations and systems, general

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 79
• Numer: 2
• Strony: 185-198

Daty

wydano

2002

Twórcy

autor

Qigui Yang

• Department of Mathematics, Guangxi Normal University, Guilin, 541004, P.R. China
• Department of Mathematics, Zhongshan University, Guangzhou, 510275, P.R. China

Identyfikatory

DOI

10.4064/ap79-2-8