## 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 hal
Oscillation Criteria for Linear Matrix Hamiltonian Systems
β Scribed by I.Sowjanya Kumari; S. Umamaheswaram
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 153 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
## Abstract We establish some new oscillation criteria for the matrix linear Hamiltonian system __X__ β² = __A__ (__t__)__X__ + __B__ (__t__)__Y__, __Y__ β² = __C__ (__t__)__X__ β__A__ \*(__t__)__Y__ by using a new function class __X__ and monotone functionals on a suitable matrix space. In doing so,
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