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Let a and b be positive numbers with a = b. The inequalities about the logarithmic-mean L(a, b) < H p (a, b) < M q (a, b) are obtained, where p ≥ 1 2 and q ≥ 2 3 p. We would point out that p = 1 2 and q = 1 3 are the best constants such that above inequalities hold.

The diffusive logistic growth model with time delay and feedback control is considered. First, the well-posedness and permanence of solutions are discussed by using some comparison techniques. Then, the sufficient conditions for stability of nonnegative constant steady states are established, and the occurrence of Hopf bifurcation at positive steady state… (More)

In this paper, we study the uniqueness of the solution of reflected BSDE with one or two barriers, under continuous and linear increasing condition of generator g. Before that we study the construction of solution of of reflected BSDE with one or two barriers.

- Gao Jia
- 2005

In this paper some Poincaré type inequalities are obtained for the maps of the Heisenberg group target.

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