## dedicated to professor junji kato for his 60th birthday We deal with the inhomogeneous linear periodic equation with infinite delay of the form dxΓdt=Ax(t)+B(t, x t )+F(t), where A is the generator of a C 0 -semigroup on a Banach space. Assuming that it has a bounded solution, we obtain several
Similar Operators and a Functional Calculus for the First-Order Linear Differential Operator
β Scribed by David Elizarraraz; Luis Verde-Star
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 120 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Communicated by W. Sproljig We present a Riesz-like hyperholomorphic functional calculus for a set of non-commuting operators based on Clifford analysis. Applications to the quantum field theory are described.
The space of linear differential operators on a smooth manifold M has a natural one-parameter family of Diff(M )-(and Vect(M )-) module structures, defined by their action on the space of tensor densities. It is shown that, in the case of secondorder differential operators, the Vect(M)-module struct
We suppose that there is a lower solution β₯ and an upper solution β€ in the reversed order, and we obtain optimal conditions in f to assure the existence of a solution lying between β€ and β₯.