Back to Search
Start Over
Norm continuity of solution semigroups of a class of neutral functional differential equations with distributed delay.
- Source :
-
Applied Mathematics Letters . Jul2017, Vol. 69, p35-41. 7p. - Publication Year :
- 2017
-
Abstract
- In this note, we shall consider the norm continuity of a class of solution semigroups associated with linear functional differential equations of neutral type with time lag r > 0 in Hilbert spaces. The norm continuity plays an important role in the analysis of asymptotic stability of the system under consideration by means of spectrum approaches. We shall show that for a square integrable neutral delay term and an unbounded infinitesimal generator A multiplied by a square integrable weight function in the distributed delay term, the associated solution semigroup of the system is norm continuous at every t > r . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 69
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 122009709
- Full Text :
- https://doi.org/10.1016/j.aml.2017.01.010