Approximate controllability of Euler-Bernoulli viscoelastic systems
In this article, we study an Euler-Bernoulli viscoelastic control system which is dissipative due to the presence of the viscoelastic term. The main feature which distinguishes this paper from other related works lies in the fact that we no longer impose traditional conditions such as complete m...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/19/abstr.html |
| Summary: | In this article, we study an Euler-Bernoulli viscoelastic control system
which is dissipative due to the presence of the viscoelastic term.
The main feature which distinguishes this paper from other related works
lies in the fact that we no longer impose traditional conditions such as
complete monotonicity and decay property on the kernel function g.
Without loss of generality, we study the system in the case of $g\equiv 1$.
By means of the duality principle and the Hahn-Banach theorem, we show that
the system with g=1 is approximately controllable in the appropriate
function space. |
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| ISSN: | 1072-6691 |