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- Chuanxi Qian, Yijun Sun
- 2007

In this paper, we study the asymptotic behavior of positive solutions of the nonlinear difference equation xn+1 = xnf(xn−k), where f : [0,∞)→ (0,∞) is a unimodal function, and k is a nonnegative integer. Sufficient conditions for the positive equilibrium to be a global attractor of all positive solutions are established. Our results can be applied to to… (More)

- John R. Graef, Chuanxi Qian, Bo Yang
- 2002

In this paper, the authors consider the boundary value problem (E) x(t) + (−1)f(x(t)) = 0, 0 < t < 1, (B) x(0) = x(1) = 0, i = 0, 1, 2, · · · ,m− 1, and give sufficient conditions for the existence of any number of symmetric positive solutions of (E)–(B). The relationships between the results in this paper and some recent work by Henderson and Thompson… (More)

- Chuanxi Qian
- Appl. Math. Lett.
- 2011

The authors consider the three point boundary value problem consisting of the nonlinear differential equation u(t) = g(t)f(u), 0 < t < 1, (E) and the boundary conditions u(0) = u(1) = u(1) = u(0) − u(p) = 0. (B) Sufficient conditions for the existence of multiple positive solutions to the problem (E)–(B) are given. This paper is in final form and no version… (More)

A new method for approximate analytic series solution called multistep Laplace Adomian Decomposition Method MLADM has been proposed for solving the model for HIV infection of CD4 T cells. The proposed method is modification of the classical Laplace Adomian Decomposition Method LADM with multistep approach. Fourth-order Runge-Kutta method RK4 is used to… (More)

- Wen-Xue Zhou, Yan-Dong Chu, Chuanxi Qian
- 2014

- Chuanxi Qian
- Appl. Math. Lett.
- 2013

We establish sufficient conditions for the linear differential equations of fourth order (r(t)y′′′(t))′ = a(t)y(t) + b(t)y′(t) + c(t)y′′(t) + f(t) so that all oscillatory solutions of the equation satisfy lim t→∞ y(t) = lim t→∞ y′(t) = lim t→∞ y′′(t) = lim t→∞ r(t)y′′′(t) = 0, where r : [0,∞)→ (0,∞), a, b, c and f : [0,∞)→ R are continuous functions. A… (More)

- D. D. Hai, Chuanxi Qian
- 2017

Consider the following nonlinear delay differential equation with a forcing term r(t) : x′(t)+a(t)x(t)+b(t) f (x(t − τ(t))) = r(t), t 0, where a ∈ C[[0,∞), [0,∞)] , b,τ ∈C[[0,∞),(0,∞)] , r ∈C[[0,∞),R] , f ∈ C[(L,∞),(L,∞)] with −∞ L 0 , and limt→∞(t − τ(t)) = ∞ . We establish a sufficient condition for every solution of the equation to converge to zero. By… (More)