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11.
We consider the classical Gurtin–MacCamy system describing the growth and spread of an age structured population and show
that the steady states are actually stabilizable by a controller v = v(a, t) acting on an age interval [a
1, a
2]. 相似文献
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Viorel NiţicĂ 《Israel Journal of Mathematics》2001,126(1):141-156
Letσ: Σ → Σ be a topologically mixing shift of finite type. Letβ: Σ → ? be a continuous function, and σ β be the skew-product ofσ byβ. Assume that σ β has a positive semi-orbit that reaches any upper height, and any lower height. Then, arbitrarilyC 0-close toβ there exists a Hölder mapβ′: Σ → ? such that the skew-product $\sigma _{\beta ^\prime } $ ofσ byβ′ is topologically transitive. 相似文献
15.
Some stability results for the functional equations of Cauchy and Jensen in probabilistic setting are proved by using the fixed point method. 相似文献
16.
A completely dependent risk process with perturbation and phase-type distributed claim sizes is analyzed. Claim arrivals are modeled by a Markovian arrival process. Using a vector-valued martingale, the Laplace transform of the time to ruin is derived algorithmically. The conditional memoryless property of the phase-type distribution yields the distribution of the deficit at ruin as a corollary. 相似文献
17.
We study the local exact controllability of the steady state solutions of the magnetohydrodynamic equations. The main result of the paper asserts that the steady state solutions of these equations are locally controllable if they are smooth enough. We reduce the local exact controllability of the steady state solutions of the magnetohydrodynamic equations to the global exact controllability of the null solution of the linearized magnetohydrodynamic system via a fixed‐point argument. The treatment of the reduced problem relies on two Carleman‐type inequalities for the backward adjoint system. © 2003 Wiley Periodicals, Inc. 相似文献
18.
Viorel Cartas 《Czechoslovak Journal of Physics》2002,52(2):B211-B218
In this work a hydrodynamical model is presented in order to explain physical phenomena appearing in nucleus-nucleus collisions. The model is based on a shock wave propagation in the fluid nuclear matter. The Burger- de Vries equation of shock waves is treated in the framework of mathematical topology. Experimental data for five pairs of nuclei is used in order to demonstrate the viability of the model. 相似文献
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