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- Jianchu Jiang, Xiaoping Li
- Applied Mathematics and Computation
- 2003

In this paper, two interesting oscillation criteria are obtained for all solutions of the nonlinear delay difference equation of the form xnþ1 xn þ pnf ðxn l1 ; xn l2 ; . . . ; xn lmÞ 1⁄4 0; n 1⁄4 0; 1; 2; . . . The results extend some well-known results in the literature. And two examples are given to demonstrate the advantage of our results. 2002 Elsevier… (More)

- JIANCHU JIANG
- 2001

We obtain some oscillation criteria for solutions of the nonlinear delay difference equation of the form xn+1−xn+pn ∏m j=1x αj n−kj = 0. 2000 Mathematics Subject Classification. 39A10.

- Jianchu Jiang
- Applied Mathematics and Computation
- 2002

- Jianchu Jiang, Xiaoping Li
- Applied Mathematics and Computation
- 2003

The oscillation criteria are investigated for all solutions of second order nonlinear neutral delay differential equations. Our results extend and improve some results well known in the literature see ( [14] theorem 3.2.1 and theorem 3.2.2 pp.385-388). Some examples are given to illustrate our main results.

- Jianchu Jiang, Xiaoping Li
- Applied Mathematics and Computation
- 2003

A non-trivial solution of (1) is called oscillatory if for every N > 0 there exists an n > N such that X,X n + , 6 0. If one non-trivial solution of (1) is oscillatory then, by virtue of Sturm’s separation theorem for difference equations (see, e.g., [S]), all non-trivial solutions are oscillatory, so, in studying the question of whether a solution {x,> of… (More)

- Jianchu Jiang, Xianhua Tang
- Computers & Mathematics with Applications
- 2007

Sufficient conditions are established for the oscillation of the linear two-dimensional difference system ∆xn = pn yn, ∆yn−1 = −qnxn, n ∈ N (n0) = {n0, n0 + 1, . . .}, where {pn}, {qn} are nonnegative real sequences. Our results extend the results in the literature. c © 2007 Elsevier Ltd. All rights reserved.

- Jianchu Jiang
- Applied Mathematics and Computation
- 2003

In this paper sufficient conditions are obtained for oscillation of all solutions of a class of nonlinear neutral delay difference equations of the form ∆(y(n) + p(n)y(n−m)) + q(n)G(y(n − k)) = 0 under various ranges of p(n). The nonlinear function G,G ∈ C(R,R) is either sublinear or superlinear. Mathematics Subject classification (2000): 39 A 10, 39 A 12

- X. H. Tang, Jianchu Jiang
- Computers & Mathematics with Applications
- 2010

In this paper, we study the existence and multiplicity of periodic solutions of the following second-order Hamiltonian systems ẍ(t) + V ′(t, x(t)) = 0, where t ∈ R, x ∈ R and V ∈ C(R × R ,R). By using a symmetric mountain pass theorem, we obtain a new criterion to guarantee that second-order Hamiltonian systems has infinitely many periodic solutions. We… (More)

- Jianchu Jiang, Xianhua Tang
- Appl. Math. Lett.
- 2011

- Jianchu Jiang, Xianhua Tang
- Computers & Mathematics with Applications
- 2007