Interval oscillation criteria for linear Hamiltonian systems
β Scribed by Zhaowen Zheng
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 131 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
In this paper some new oscillation criteria of interval type for linear matrix Hamiltonian systems are established which are different from most known ones in the sense that they are based on the information only on a sequence of subinterval of [t~0~, β) rather than on the whole half line. Our results are shaper than previous results. (Β© 2008 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
Ε½ X . X New oscillation criteria are established for the equation py q qy s 0 that are different from most known ones in the sense that they are based on the informaw . tion only on a sequence of subintervals of t , Ο± , rather than on the whole 0 half-line. Our results are more natural according to
Under minimal hypotheses, sufficient criteria for a perturbed Dirac system to be relatively oscillatory or non-oscillatory at Ο± with respect to a reference equation with periodic coefficients are proved my means of an asymptotic analysis of generalized Prufer angles. As illustrated by an example, th