1 - 10 of 17 articles
In this article we construct a kernel estimate of the probability function from bivariate data when a component is subject to random left-truncation. We establish consistency and asymptotic normality of the proposed estimator using a strong approximation result. Simulation studies show that the...
In this paper, we obtain the boundedness, asymptotic behavior and oscillatory properties for the single logistic models with impulse effect. Some examples are given to indicate the application of our results.
In this paper, we introduce the concepts of redundant constraint and exceptional vertex which play an important role in the characterization of universal minimal total dominating functions (universal MTDFs), and establish some further results on universal MTDFs in general graphs. By extending...
In this paper, a new discrete formulation and a type of new posteriori error estimators for the second-order element discretization for Stokes problems are presented, where pressure is approximated with piecewise first-degree polynomials and velocity vector field with piecewise seconddegree...
In this paper, we give the upper bound and lower bound ofk-th largest eigenvalue λk of the Laplacian matrix of a graphG in terms of the edge number ofG and the number of spanning trees ofG.
In this paper, we investigate the bifurcations of one class of steady-state reaction-diffusion equations of the formu″ + μu − uk=0, subjectu(0)=u(π)=0, where μ is a parameter, 4≤kεZ+. Using the singularity theory based on the Liapunov-Schmidt reduction, some satisfactory results are obtained.
In this paper, the Wilson nonconforming finite element is considered for solving elliptic eigenvalue problems. Based on an interpolation postprocessing, superconvergence estimates of both eigenfunction and eigenvalue are obtained.
Some convergence results are given forA(α)-stable linear multistep methods applied to two classes of two-parameter singular perturbation problems, which extend the existing relevant results about one-parameter problems by Lubich. Some numerical examples confirm our results.
Several mixed Legendre spectral-pseudospectral approximations and Chebyshev-Legendre approximations are proposed for estimating parameters in differential equations. They are easy to be berformed, and have the spectral accuracy. The numerical results coincide with those of the theoretical...
A new integral inequality with power nonlinearity is obtained, which generalizes some extensions of L. Ou-Iang’s inequality given by B.G. Pachpatte. Discrete analogy of the new integral inequality and some application examples are also indicated.
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