supported by the National Natural Science Foundation of China(12071491,12001113)。
In this paper,we consider a class of third-order nonlinear delay dynamic equations.First,we establish a Kiguradze-type lemma and some useful estimates.Second,we give a sufficient and necessary condition for the existe...
A one-dimensional monotone interpolation method based on interface reconstruction with partial volumes in the slope-space utilizing the Hermite cubic-spline, is proposed. The new method is only quartic, however is C2 ...
the NSF of Shanxi Province(No.2008011002-1);the Development Foundation of Higher Education Department of Shanxi Province(No.20111117);the Foundation of Datong University 2010-B-01
The aim of this paper is to study the oscillation of second order neutral difference equations.Our results are based on the new comparison theorems,that reduce the problem of the oscillation of the second order equati...
Supported by the National Natural Science Foundation of China (Grant No.10571050);the Science and Research Fund for Higher College of Hunan Province (Grant No.06C054)
In this paper, we study oscillation of solutions for a class of high order neutral delay difference equations with variable coefficients -τm [x(t) - c(t)x(t - τ)] = (-1)mp(t)x(t - σ), t ≥ t0 〉 0. Some...
This work are supported by the NNSF of China (No.10571050);the Science and Research Fund for Higher Colleges of Hunan (No.06C054).
In this paper,we investigate oscillation of solutions to a class of second order neutral delay difference equations with continuous arguments. We then obtain some sufficient conditions for bounded oscillation of the s...
the Hubei Provincial Department of Education,grant No.2004D003
In this paper,by proving a differential identity,we obtain a necessary and sufficient condition of nonoscillation for a second-order differential equation.We also improve the known results of nonoscillation for a seco...
New oscillation criteria for general differential equations of the form x^(n)(t)+pn-1 (t)x^(n-1)(t)+…+P1(t)x′(t)+p0(t)x(t)+q1(t)x^μ (t) = q2 (t)x^λ (t)+e(t) where λ,μ are the ra...
the Natural Science Foundation of Hebei Province (103141)Key Science Foundation of Hebei Normal University (1301808)
The authors consider the following second order neutral difference equation with maxima △(αn△(yn+pnyn-k))-qn max [n-l,n]ys=0,n=0,1,2,…,(*)where {αn}, {pn} and (qn} are sequences of real numbers, and k an...