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

Sufficient conditions are established for the oscillation of the linear two-dimensional difference system ∆x n = p n y n , where { p n }, {q n } are nonnegative real sequences. Our results extend the results in the literature.

- 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

- 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
- 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 ∆ 2 (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 sublin-ear or superlinear. 1 Introduction Recently, a good deal of work has been… (More)

- 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 ¨ x(t) + V ′ (t, x(t)) = 0, where t ∈ R, x ∈ R N and V ∈ C 1 (R × R N , R). By using a symmetric mountain pass theorem, we obtain a new criterion to guarantee that second-order Hamiltonian systems has infinitely many periodic… (More)

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

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