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研究非线性三阶向量常微分方程的奇摄动边值问题. 在一定的条件下, 转变所给方程为对角化系统, 然后去求解等价的积分方程, 再用逐步逼近法和不动点原理, 证得摄动问题解的存在并给出渐近估计. 最后, 给出了若干应用例子.
本文讨论求解刚性随机延迟微分方程的平衡方法.证明了随机延迟微分方程平衡方法的均方收敛阶为 1/2.给出了线性随机延迟微分方程平衡方法均方稳定的条件.
In the present article we introduce two new general methods to compute the Chow motives of homogeneous varieties.
Two possible diagnostics of stretching and folding (S&F) in fluid flows are discussed, based on the dynamics of the gradient of potential vor-ticity (q = ω · ∇) associated with solutions of the...
We discuss a new family of solutions of the Grad–Shafranov GS equation that describes D-shaped to roidal plasma equilibria with sharp gradients at the plasma edge. These solutions have been derived ...
For a graph G, Chartrand et al. defined the rainbow connection number rc(G)and the strong rainbow connection number src(G) in “G. Charand, G.L. John,K.A. Mckeon, P. Zhang, Rainbow connection in graphs...
The Tutte polynomial G(X, Y ) of a graph G is a classical invariant,important in combinatorics and statistical mechanics. An important feature of the Tutte polynomial is the duality for planar graphs...
This article is devoted to the number of non-negative solu-tions of the linear Diophantine equation a1t1 + a2t2 + · · · antn = d,
We consider the cubic Szeg¨o equation i@tu = (|u|2u) in the Hardy space L2 +(R) on the upper half-plane, where  is the Szeg¨o projector.
We study dynamics of two coupled periodically driven oscillators. Im-portant example of such a system is a dynamic vibration absorber which consists of a small mass attached to the primary vibrating s...
Let R be a discrete valuation ring with fraction field K and with algebraically closed residue field of positive characteristic p. Let X be a smooth fibered surface over R with geometrically connected...
We present the solutions of equations of degrees 3 and 4 using Galois theory and some simple Fourier analysis for finite groups.
We transfer the scheme of constructing differential reductions, developed recently for the case of the Manakov-Santini hierarchy, to the general multidimensional case. We consider in more detail the ...
We consider the Yamabe invariant of a compact orbifold with finitely many singular points. We prove a fundamental inequality for the estimate of the invariant from above, which also includes a criteri...
Let X  V be a closed embedding, with V r X nonsingular. We de ne a constructible function X;V on X, agreeing with Verdier's specialization of the constant function 11V when X is the zero-locus of a ...

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