Isotope Geochemistry of Erentaolegai Silver Deposit, Inner Mongolia, China

Detailed studies have been conducted on the geology and geochemistry of the deposit and granite in the mining district in the last two decades, and by comparing this deposit with other typical epithermal deposits in the world, it is clear that the Erentaolegai silver deposit is a lower-sulfidation, adularia-sericite-type epithermal silver deposit and the bulk mineralogy of this deposit is consistent with low-sulfidation epithermal mineralization. Determined by the Rb-Sr isochron method, the age of magmatic intrusives in the mining district is 120 Ma. So, it can be concluded that the local areas were marginally subjected to the movement in Late Yanshanian and produced granitic magma, and about 29% mantle material, as is calculated, was involved in magmatism. The magma experienced crystallization-differentiation, resulting in the formation of granite and quartz porphyry; the latter was the product of violent granitic magma crystallization-differentiation, so silver was enriched in later petrogenetic stages and post-petrogenetic ore fluids from which Ag was derived dominantly. Oxygen and hydrogen isotopic characteristics indicate that meteoric waters on the Earth’s surface played an important role in the formation of granitic magma and the deposit: (1) contributing a lot to the fundamental complex partial melting; (2) contributing a lot to magma crystallization-differentiation, and bringing silver into the magma which is eventually responsible for the formation of quartz porphyry; and (3) contributing a lot to the formation of great amounts of ore fluid. The lead isotopic characteristics show that the silver and lead have an affinity for each other.

非均质Euler-bernoulli梁的局部反馈定问题

In this article, we study the locally distributed feedback stabilization problem of a nonuniform Euler-Bernoulli beam. Firstly, using the semi-group theory, we establish the wellposedness of the associated closed loop system. Then by proving the uniqueness of the solution to a related ordinary differential equation, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise multiplier method, we prove that, by either one distributed force feedback or a distributed moment feedback control, the closed loop system can be exponentially stabilized.

STABILIZATION OF EULER-BERNOULLI BEAM WITH A NONLINEAR LOCALLY DISTRIBUTED FEEDBACK CONTROL

This paper studies the stabilization problem of uniform Euler-Bernoulli beam with a nonlinear locally distributed feedback control. By virtue of nonlinear semigroup theory, energy-perturbed approach and polynomial multiplier skill, the authors show that, corresponding to the different values of the parameters involved in the nonlinear locally distributed feedback control, the energy of the beam under the proposed feedback decays exponentially or in negative power of time t as t →∞.

PRICING OF LIBOR FUTURES BY MARTINGALE METHOD IN COX-INGERSOLL-ROSS MODEL

This paper considers the pricing of LIBOR futures in the Cox-Ingersoll-Ross(CIR)modelunder Pozdnyakov and Steele(2004)'s martingale framework for futures prices.Under the CIR modelfor short term interest rate,we prove that there exists a unique futures price process associated withthe terminal value and the standard financial market,and that this unique futures price process has amartingale representation.Moreover,a general closed-form pricing formula for LIBOR futures contractsis obtained in the CIR model.

Stabilization of Nonuniform Euler-Bernoulli Beam with Locally Distributed Feedbacks

In this article, we study the stabilization problem of a nonuniform Euler-Bernoulli beam with locally distributed feedbacks. Firstly, using the semi-group theory, we establish the well-posedness of the associated closed loop system. Then by proving the uniqueness of the solution of a related ordinary differential equations, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise frequency domain multiplier method, we prove that the corresponding closed loop system can be exponentially stabilized by only one of the two distributed feedback controls proposed in this paper.