Thermodynamics of Third Order Lovelock-Born-Infeld Black Holes

We here explore black holes in the third order Lovelock gravity coupling with nonlinear Born-Infeld electromagneticfield.Considering special second and third order coefficients （α22 = 3α3 = α2）,we analyze the thermodynamicsof third order Lovelock-Born-Infeld black holes and,in 7-dimensional AdS space-time,discuss the stability of black holesin different event horizon structures.We find that the cosmological constant A plays an important role in the distributionof black hole stable regions.