Electron. J. Diff. Equ., Vol. 2013 (2013), No. 170, pp. 1-10.

Controllability of nonlinear third-order dispersion inclusions with infinite delay

Meili Li, Xiaoxia Wang, Haiqing Wang

Abstract:
This article shows the controllability of nonlinear third-order dispersion inclusions with infinite delay. Sufficient conditions are obtained by using a fixed-point theorem for multivalued maps. Particularly, the compactness of the operator semigroups is not assumed in this article.

Submitted June 4, 2013. Published July 26, 2013.
Math Subject Classifications: 93B05, 34G20, 93C20, 34K09.
Key Words: Controllability; semigroup theory; nonlinear dispersion inclusions; Korteweg-de Vries equation; infinite delay.

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Meili Li
Department of Applied Mathematics, Donghua University
Shanghai 201620, China
email: stylml@dhu.edu.cn
Xiaoxia Wang
Department of Applied Mathematics, Donghua University
Shanghai 201620, China
email: 772091534@qq.com
Haiqing Wang
Department of Applied Mathematics, Donghua University
Shanghai 201620, China
email: aqhai123456@163.com

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