Publications (16)7.01 Total impact
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ABSTRACT: In this paper, we study the advanced differential equations and By using the generalized Riccati transformation and the SchauderTyichonoff theorem, we establish the conditions for the existence of positive solutions of the above equations. MSC: 34K11, 39A10.Advances in Difference Equations 01/2013; 2013(1). · 0.63 Impact Factor  Journal of Applied Analysis and Computation. 01/2012; 2(4).
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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. · 2.16 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; · 1.08 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. · 1.61 Impact Factor  [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. · 0.45 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 01/2008; 28(1):2938. 
Article: Oscillation of higherorder nonlinear neutral difference equations with positive and negative terms
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ABSTRACT: The oscillation of higherorder nonlinear neutral difference equations with positive and negative terms Δ(a n Δ m1 (x(n)+δp n x(nτ)))+f(n,x(nσ))g(n,x(nρ))=0 is studied, where Δ is the forward difference operator, Δx n =x n+1 x n ,m is positive integer, {a n },{p n } are nonnegative real sequences, τ,σ,ρ are nonnegative integers, f(n,u) and g(n,v) are continuous functions. Some criteria for bounded oscillation, bounded almost oscillation and almost oscillation for this equation are obtained.Journal of Hebei Normal University. Natural Science Edition. 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(tτ))′)′+q(t)x(tσ)=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))ds=∞, τ>0, σ>0, bk>1,0t0t1t2⋯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. · 1.08 Impact Factor  [Show abstract] [Hide abstract]
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.  [Show abstract] [Hide abstract]
ABSTRACT: The second order selfconjugate nonlinear difference equations Δ(a n Δ(y n +py nk ))+q n f(y n+1l )=0,Δ(a n Δ(y n +py nk α ))=q n f(y n+1l ) are discussed. Oscillation of solutions and almost oscillation of bounded solutions are obtained, respectively.Journal of Hebei Normal University. Natural Science Edition. 01/2006; 30(5).  [Show abstract] [Hide abstract]
ABSTRACT: Consider the following second order neutral difference equation with maxima Δ(a n Δ(y n +p n y nk ))q n max [nℓ] y s =0,n=0,1,2,⋯,(*) where {a n },{p n } and {q n } are sequences of real numbers, and k and ℓ are integers with k≥1 and ℓ≥0. If the following conditions hold: (i) a n >0 such that ∑ n=n 0 ∞ 1 a n =∞; (ii) q n ≥0 such that ∑ n=n 0 ∞ q n =∞, then the asymptotic behavior of nonoscillatory solutions of (*) is obtained whenever α≤p n ≤β for some particular values of α and β.Journal of Mathematical Research & Exposition. 01/2006; 26(2).  [Show abstract] [Hide abstract]
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.Global Journal of Pure and Applied Mathematics. 01/2005; 1(2).  [Show abstract] [Hide abstract]
ABSTRACT: To consider the equation Δ[x(n)px(nτ)]+qx(nσ)=0,n≥n 0 , where p, q, τ, σ are positive constants. A new criterion is obtained.Journal of Hebei Normal University. Natural Science Edition. 01/2004; 28(6).  [Show abstract] [Hide abstract]
ABSTRACT: Consider the oscillation of secondorder neutral difference equations with positive and negative coefficients Δ 2 (x(n)+px(nτ))+qx(nσ)rx(nρ)=0· Some necessary conditions for all solutions and sufficient conditions for bounded solutions to be oscillatory are given.Journal of Hebei Normal University. Natural Science Edition. 01/2004; 28(4).  [Show abstract] [Hide abstract]
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.
Publication Stats
20  Citations  
7.01  Total Impact Points  
Top Journals
Institutions

2001–2013

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