George, Raju K (1995) Approximate Controllability Of Semilinear Systems Using Integral Contractors. In: Numerical Functional Analysis And Optimization, 16 (1-2). pp. 127-138.
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In this article, a non-autonomous (time-varying) semilinear system is considered and its approximate controllability is investigated. The notion of 'bounded integral contractor', introduced by Altman, has been exploited to obtain sufficient conditions for approximate controllability. This condition is weaker than Lipschitz condition. The main theorems of Naito [11, 12] are obtained as corollaries of our main results. An example is also given to show how our results weaken the conditions assumed by Sukavanam[17].
| Item Type: | Journal Article |
|---|---|
| Publication: | Numerical Functional Analysis And Optimization |
| Publisher: | Marcel Dekker Inc |
| Additional Information: | Copyright of this article belongs to Marcel Dekker Inc. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 24 Mar 2009 04:59 |
| Last Modified: | 24 Mar 2009 04:59 |
| URI: | http://eprints.iisc.ac.in/id/eprint/19621 |
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