On (non-self-adjoint) Hamiltonian systems and self-adjoint even order forms
✍ Scribed by K.N Murty; M Shaw
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 479 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
## Abstract This paper is concerned with self‐adjoint extensions for singular linear Hamiltonian systems. The domain of the closure of the corresponding minimal Hamiltonian operator is described by the properties of its elements at the endpoints of the discussed interval, and two different decompos
## Abstract The left‐definite boundary conditions of the problem consisting of a regular formally self‐adjoint differential equation of even order and a self‐adjoint boundary condition are characterized in terms of a certain fundamental set of solutions of the equation. Based on the left‐definite b
## Abstract In 1980, Gasymov showed that non‐self‐adjoint Hill operators with complex‐valued periodic potentials of the type $ V(x) = \sum ^{\infty} \_{k=1} a\_{k} e^{ikx} $, with $ \sum ^{\infty} \_{k=1} \vert a\_{k} \vert < \infty $, have spectra [0, ∞). In this note, we provide an alternative an