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排序方式: 共有160条查询结果,搜索用时 78 毫秒
21.
Janusz Sokó? 《Journal of Mathematical Analysis and Applications》2009,352(2):696-701
In this paper we give a sufficient condition for function to be α-starlike function and some of its applications. We use the techniques of convolution and differential subordinations. 相似文献
22.
利用穷染、递推的方法讨论了路、圈、完全图、轮和扇的邻点可区别Ⅵ-全染色.并用概率方法研究了一般图的邻点可区别E-全染色,给出了图的邻点可区别E-全色数的一个上界.即δ≥7且△≥28,则有x_(at)~e(G)≤10△,其中δ是图G的最小度,△是图G的最大度. 相似文献
23.
Stochastic exponential synchronization of jumping chaotic neural networks with mixed delays 总被引:1,自引:0,他引:1
Cheng-De Zheng Fujie Zhou 《Communications in Nonlinear Science & Numerical Simulation》2012,17(3):1273-1291
This paper deals with the exponential synchronization problem for a class of stochastic jumping chaotic neural networks with mixed delays and sector bounded nonlinearities. The mixed time delays under consideration comprise both discrete time-varying delays and distributed time delays. By applying the Finsler’s Lemma and constructing appropriate Lyapunov-Krasovskii functional based on delay partitioning, several improved delay-dependent feedback controllers with sector nonlinearities are developed to achieve the synchronization in mean square in terms of linear matrix inequalities. It is established theoretically that two special cases of the obtained criteria are less conservative than some existing results but including fewer slack variables. As the present conditions involve no free weighting matrices, the computational burden is largely reduced. One numerical example is provided to demonstrate the effectiveness of the theoretical results. 相似文献
24.
Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods 下载免费PDF全文
Yanping Chen Peng Luan & Zuliang Lu 《advances in applied mathematics and mechanics.》2009,1(6):830-844
In this paper, we present an efficient method of two-grid scheme for
the approximation of two-dimensional nonlinear parabolic equations
using an expanded mixed finite element method. We use two Newton
iterations on the fine grid in our methods. Firstly, we solve an
original nonlinear problem on the coarse nonlinear grid, then we use
Newton iterations on the fine grid twice. The two-grid idea is from
Xu$'$s work [SIAM J. Numer. Anal., 33 (1996), pp. 1759-1777] on
standard finite method. We also obtain the error estimates for the
algorithms of the two-grid method. It is shown that the algorithm
achieves asymptotically optimal approximation rate with the two-grid
methods as long as the mesh sizes satisfy
$h=\mathcal{O}(H^{(4k+1)/(k+1)})$. 相似文献
25.
26.
Karlheinz Grö chenig Michael Leinert 《Journal of the American Mathematical Society》2004,17(1):1-18
We prove non-commutative versions of Wiener's Lemma on absolutely convergent Fourier series (a) for the case of twisted convolution and (b) for rotation algebras. As an application we solve some open problems about Gabor frames, among them the problem of Feichtinger and Janssen that is known in the literature as the ``irrational case'.
27.
Lu Yuefeng Li Chengyue Zhong Shizeng Zhang Weijie 《Annals of Differential Equations》2005,21(3):370-372
In this paper, we prove the existence of nontrivial homoclinic orbits for a class of Hamiltonian systems with potential changing sign. We use Mountain Pass Lemma. 相似文献
28.
Using a strong version of the Curve Selection Lemma for real semianalytic sets, we prove that for an arbitrary connected Lie group G, each connected component of the set E_n(G)of all elements of order n in G is a conjugacy class in G. In particular, all conjugacy classes of finite order in G are closed. Some properties of connected components of E_n(G) are also given. 相似文献
29.
Benjamin Gess Xavier Lamy 《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2019,36(2):505-521
We prove regularity estimates for entropy solutions to scalar conservation laws with a force. Based on the kinetic form of a scalar conservation law, a new decomposition of entropy solutions is introduced, by means of a decomposition in the velocity variable, adapted to the non-degeneracy properties of the flux function. This allows a finer control of the degeneracy behavior of the flux. In addition, this decomposition allows to make use of the fact that the entropy dissipation measure has locally finite singular moments. Based on these observations, improved regularity estimates for entropy solutions to (forced) scalar conservation laws are obtained. 相似文献
30.
Multiple Positive Solutions for a Nonlinear Elliptic Equation Involving Hardy–Sobolev–Maz'ya Term 下载免费PDF全文
In this paper, we study the existence and nonexistence of multiple positive solutions for the following problem involving Hardy–Sobolev–Maz'ya term:-Δu- λu/|y|2=|u|pt-1u/|y|t+ μf(x), x ∈Ω,where Ω is a bounded domain in RN(N ≥ 2), 0 ∈Ω, x =(y, z) ∈ Rk× RN-kand pt =N +2-2t N-2(0 ≤ t ≤2). For f(x) ∈ C1(Ω)\{0}, we show that there exists a constant μ* 0 such that the problem possessesat least two positive solutions if μ∈(0, μ*) and at least one positive solution if μ = μ*. Furthermore,there are no positive solutions if μ∈(μ*, +∞). 相似文献