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- Title
Stability of solutions to integro-differential equations in Hilbert spaces.
- Authors
Jin Liang; Ti-Jun Xiao; Jian-Hua Chen
- Abstract
In this paper, we investigate the uniform exponential stability of solutions to abstract integro-differential equations in Hilbert spaces by the theory of operator semigroups and Laplace transforms of vector-valued functions. New criterions are given based on the growth property of associated vector-valued functions on the right half plane. Examples are presented to illustrate our results.
- Subjects
HILBERT space; SEMIGROUPS (Algebra); OPERATOR theory; LAPLACE transformation; NUMERICAL solutions to differential equations
- Publication
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011, Vol 18, Issue 5, p781
- ISSN
1370-1444
- Publication type
Article