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961.
A kind of predator-prey system of Holling typeⅡand interaction perturbation with impulsive effect is presented.By using Floquet theory and small amplitude perturbations skills,the locally asymptotical stability of prey-eradication periodic solution and the permanence of the system are discussed and the corresponding threshold conditions are given respectively.Finally,the existence of positive periodic solution is investigated by the bifurcation theory. 相似文献
962.
V. I. Fabrikant 《Archive of Applied Mechanics (Ingenieur Archiv)》2001,71(6-7):371-388
Summary The following mixed boundary-value problem for a transversely isotropic elastic half-space is considered. Arbitrary tangential
displacements are prescribed at the exterior of a circle, while the interior of the circle is free of tangential stress, and
the normal stress vanishes all over the boundary. The governing integral equation is solved exactly, in closed form, and in
terms of elementary functions. The method of continuation of solutions previously published by the author has been used here.
Several examples are considered. No similar results has been reported before, even in the case of an isotropic body.
Received 8 May 2000; accepted for publication 20 July 2000 相似文献
963.
964.
Jela Babusikova 《Applications of Mathematics》2001,46(6):419-437
In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved. 相似文献
965.
We provide a global existence result for the time-continuous elastoplasticity problem using the energetic formulation. For
this, we show that the geometric nonlinearities arising from the multiplicative decomposition of the strain can be controlled
via polyconvexity and a priori stress bounds in terms of the energy density. While temporal oscillations are controlled via
energy dissipation, the spatial compactness is obtained via regularizing terms involving gradients of the internal variables.
Dedicated to Sir John Ball on the occasion of his 60th birthday. 相似文献
966.
研究了具有热储备的并行可修复系统中,其稳定解的最优控制问题,并给出了其最优解的存在唯一性. 相似文献
967.
Jong Uhn Kim 《Transactions of the American Mathematical Society》2008,360(2):575-607
We prove the existence and uniqueness of solutions to the initial boundary value problem for a one-dimensional wave equation with unilateral boundary conditions and random noise. We also establish the existence of an invariant measure.
968.
In this paper, homotopy perturbation method (HPM) and variational iteration method (VIM) are applied to solve nonlinear oscillator
differential equations. Illustrative examples reveal that these methods are very effective and convenient for solving nonlinear
differential equations. Moreover, the methods do not require linearization or small perturbation. Comparisons are also made
between the exact solutions and the results of the homotopy perturbation method and variational iteration method in order
to prove the precision of the results obtained from both methods mentioned. 相似文献
969.
向量优化问题有效解的稳定性 总被引:1,自引:0,他引:1
运用标量化的方法,通过锥正定真有效解的上半连续性讨论了无限维赋范空间中锥有效解的部分上半连续性,证明了锥有效解的通有稳定性.在此基础上,进一步证明,在Baire纲的意义下,绝大多数的向量优化问题至少存在一个锥正定真有效解是本质的有效解,换句话说,绝大多数的向量优化问题锥有效解是几乎下半连续的. 相似文献
970.
By using the theory of coincidence degree,we study a kind of periodic solutions to second order differential equation with a deviating argument such as x"(t) f(x'(t)) h(x(t))x'(t) g(x(t-τ(t)))=p(t),some sufficient conditions on the existence of periodic solutions are obtained. 相似文献