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.
Some convergence results are given for A(a)-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 numeri
Several mixed Legendre spectral-pseudospectral approximations and Chebyshev-Legendre ap- proximations are proposed for estimating parameters in differential equations. They are easy to be performed, and have the spectral accuracy. The numerical r
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.
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 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 appro
In this paper the authors consider the initial boundary value problems of the generalized nonlinear strain waves in elastic waveguides and prove the existence of global attractors and the finiteness of the Hausdorff and the fractal dimensions of
In this article, the author employs the conical expansion and compression fixed point principle and the fixed point index theory to show that there exist at least two positive solutions for a higher order BVP.
A singularly perturbed combustion reaction diffusion Robin boundary value problem is considered. Using the theory of differential ineaqality, the existence of solution to the problem is proved and the asymptotic estimation of the solution is obt
This paper considers an initial-boundary value problem for the one-dimensional quasilinear wave equation originating from a mechanism with a boundary piston having mass. Under the genuine nonlinear conditions, if the C~1-norms of the non-zero ini
This paper deals with the asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations (DDEs). With the help of K.J.in't Hout's analytic technique for the numerical stability of onestep Runge-Kutta methods, we
In this paper, we investigate the bifurcations of one class of steady-state reaction-diffusion equations of the form u~"+μμ-u~κ=0, subject to u(0)=u(π)=0, where p is a parameter, 4≤k∈Z~+. Using the singularity theory based on the Liapunov-S
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 vel
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