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Journal of Vcibration Testing and System Dynamics 2(3) (2018) 291--296 | DOI:10.5890/JVTSD.2018.09.009

Varadharaj Dinakar$^{1}$, Krishnan Balachandran$^{2}$

$^{1}$ Department of Mathematics, Central University of Tamilnadu, Thiruvarur, India - 610101

$^{2}$ Department of Mathematics, Bharathiar University, Coimbatore, India - 641046

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Abstract

We consider the degenerate Lotka-Volterra system with three equations in the linearized form. The internal observations with two measurements are allowed to obtain the stability result for the inverse problem consisting of simultaneously retrieving three coefficients in the given parabolic system with the help of Carleman estimates for the degenerate Lotka-Volterra system.

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