Research Communication | Open Access
Volume 2021 | Communication ID 75
Volume 2021 | Communication ID 75
| Analysis and control of integro-differential Volterra equations with delays |
Younes El Kadiri, Saïd Hadd, Hamid Bounit
Received |
Accepted |
Published |
January 26, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: The purpose of this paper is to introduce a semigroup approach to linear integrodifferential equations with delay. Our approach is mainly based on the feedback theory of infinite-dimensional linear systems. In fact, we use product spaces to reformulate such delay equations to a standard Cauchy problem and then use a perturbation technique (feedback) to prove the generation property. Moreover, we investigate the spectral theory for this problem. We also show that integrodifferential equations with the state, input, and output delays form a subclass of regular infinite-dimensional linear ...