We consider a linear Hamiltonian Difference System for the so-called singular case so that discrete SturmαLiouville Equations of higher order are included in our theory. We introduce the concepts of focal points for matrix-valued and generalized zeros for vector-valued solutions of the system and de
C-Disfocality for Linear Hamiltonian Difference Systems
β Scribed by A. Peterson
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 346 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
We study the existence of homoclinic orbits for first order time-dependent Hamiltonian systems z Λ=JH z (z, t), where H(z, t) depends periodically on t and H z (z, t) is asymptotically linear in z as |z| Q .. We also consider an asymptotically linear SchrΓΆdinger equation in R N .
## 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