Abstract
Let H be a separable complex Hilbert space. The paper deals with equations of the type where is a bounded nondecreasing function, is a piece-wise continuous function defined on whose values bounded are operators in, and generates a strongly continuous semigroup on . Estimates for the norms of solutions to the considered equations are established. They give us explicit ex ponential stability conditions depending and independing on delays. The illustrative examples with the integro-differential equations with delays and coupled systems of differential-delay equations are presented.
| Original language | English |
|---|---|
| Title of host publication | Hilbert Spaces |
| Subtitle of host publication | Properties and Applications |
| Publisher | Nova Science Publishers, Inc. |
| Pages | 19-40 |
| Number of pages | 22 |
| ISBN (Electronic) | 9781536166439 |
| State | Published - 1 Jan 2019 |
Keywords
- Hilbert space
- exponential stability
- functional differential equations
- fundamental solutions
ASJC Scopus subject areas
- General Physics and Astronomy