CONTROLLABILITY OF NONLINEAR THIRD ORDER DISPERSION EQUATION WITH DISTRIBUTED DELAY

Meili Li; Haiqing Wang

doi:10.11948/2012030

2012 Volume 2 Issue 4

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Meili Li, Haiqing Wang. CONTROLLABILITY OF NONLINEAR THIRD ORDER DISPERSION EQUATION WITH DISTRIBUTED DELAY[J]. Journal of Applied Analysis & Computation, 2012, 2(4): 415-421. doi: 10.11948/2012030

Citation:

Meili Li, Haiqing Wang. CONTROLLABILITY OF NONLINEAR THIRD ORDER DISPERSION EQUATION WITH DISTRIBUTED DELAY[J]. Journal of Applied Analysis & Computation, 2012, 2(4): 415-421. doi: 10.11948/2012030

CONTROLLABILITY OF NONLINEAR THIRD ORDER DISPERSION EQUATION WITH DISTRIBUTED DELAY

Department of Applied Mathematics, Donghua University, Shanghai, 201620, China

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Abstract

Abstract

This paper is concerned with the exact controllability of nonlinear third order dispersion equation with infinite distributed delay. Sufficient conditions are formulated and proved for the exact controllability of this system. Without imposing a compactness condition on the semigroup, we establish controllability results by using a fixed point analysis approach.
- Controllability /
- semigroup theory /
- nonlinear dispersion equation /
- Korteweg-de Vries equation /
- distributed delay
MSC: 93B05;35Q53

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References

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