Publications (14)6.34 Total impact
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ABSTRACT: In this paper, we consider higher order nonlinear neutral dynamic equations on time scales. Some sufficient conditions are obtained for existence of positive solutions for the higher order equations by using the fixed point theory and defining the compressed map on a set.Applied Mathematical Modelling 05/2009; 33(5):24552463. DOI:10.1016/j.apm.2008.07.011 · 2.25 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we investigate the oscillation of Thirdorder difference equation with impulses. Some sufficient conditions for the oscillatory behavior of the solutions of Thirdorder impulsive difference equations are obtained.Journal of Computational and Applied Mathematics 03/2009; 225(1225):8086. DOI:10.1016/j.cam.2008.07.002 · 1.27 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we consider the higherorder nonlinear neutral delay differential equation (1.1)(x(t)−p(t)x(t−τ))(n)+f(t,x(σ(t)))=0 where n is an odd number and n⩾3,τ>0, p,σ∈C([t0,∞),R+),σ(t)⩽t,limt→∞σ(t)=∞, f∈C([t0,∞)×R,R),f(t,u) is nondecreasing in u.Nonlinear Analysis 09/2008; 69(5):17191731. DOI:10.1016/j.na.2007.07.018 · 1.33 Impact Factor 
Article: Existence of nonoscillatory solutions for higher order neutral dynamic equations on time scales
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ABSTRACT: In this paper, we consider higher order nonlinear neutral dynamic equation on time scales. Some sufficient conditions are obtained for existence of a nonoscillatory solution for the higher order equation by using fixed point theory and defining the compressed injection on a set.Journal of Applied Mathematics and Computing 08/2008; 28(1):2938. DOI:10.1007/s121900080067y  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we investigate nonoscillatory solutions of a class of higher order neutral nonlinear difference equations with positive and negative coefficients . Some sufficient conditions for the existence of nonoscillatory solutions are obtained.Bulletin of the Korean Mathematical Society 02/2008; 45(1):2331. DOI:10.4134/BKMS.2008.45.1.023 · 0.23 Impact Factor 
Article: Oscillation of higherorder nonlinear neutral difference equations with positive and negative terms
01/2007; 21(2).  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we investigate the oscillation of secondorder selfconjugate differential equation with impulses(1)(a (t) (x (t) + p (t) x (t  τ))′)′ + q (t) x (t  σ) = 0, t ≠ tk, t ≥ t0,(2)x (tk+) = (1 + bk) x (tk), k = 1, 2, ...,(3)x′ (tk+) = (1 + bk) x′ (tk), k = 1, 2, ...,where a, p, q are continuous functions in [t0, + ∞), q (t) ≥ 0, a (t) > 0, ∫t0∞ (1 / a (s)) d s = ∞, τ > 0, σ > 0, bk >  1,0 < t0 < t1< t2 < ⋯ < tk < ⋯ and limk → ∞ tk = ∞. We get some sufficient conditions for the oscillation of solutions of Eqs. (1)(3).Journal of Computational and Applied Mathematics 12/2006; 197(1):7888. DOI:10.1016/j.cam.2005.10.035 · 1.27 Impact Factor  01/2006; 30(5).
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ABSTRACT: In this paper, we consider the oscillation of first order sublinear difference equation with positive neutral termΔ(x(n) + p(n)x(τ(n))) + f(n, x(g1(n)), ... ,x(gm(n))) = 0. We obtain necessary and sufficient conditions for the solutions of this equation to be oscillatory.Journal of Applied Mathematics and Computing 01/2006; 20(1):305314. DOI:10.1007/BF02831940  01/2006; 26(2).
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ABSTRACT: We investigate the oscillation of a secondorder nonlinear differential equation of the form y (t) + p (t) y τ ( t ) '' +ft , y g ( t )=e(t),t≥t 0 , where p,τ,e∈C(I,ℝ), g∈C 1 (I,ℝ), I=[t 0 ,∞), lim t→∞ p(t)=p, τ(t), g(t)≤t, lim t→∞ τ(t)=∞, and lim t→∞ g(t)=∞. There exists a function r∈C 2 (I,ℝ) such that e(t)=r '' (t) and r changes sign on [T,∞) for any T≥t 0 , f∈C(I×ℝ,ℝ), f(t,y)sgny≥q(t)y or f(t,y)=q(t)f 1 (y). By using the generalized Riccati technique and averaging technique, we get some new oscillation criteria.  01/2004; 28(6).
 01/2004; 28(4).
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ABSTRACT: In this paper, we are mainly concerned with the classification of nonoscillatory solutions for the higher order difference equation and some existence results for some kinds of nonoscillatory solutions.Journal of Applied Mathematics and Computing 04/2001; 8(2):311324. DOI:10.1007/BF02941968
Publication Stats
23  Citations  
6.34  Total Impact Points  
Top Journals
Institutions

2001–2009

Hebei Normal University
 College of Mathematics and Information Science
Chentow, Hebei, China
