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- Jianqing Zhao, Zuodong Yang, Meng Fan, Z. Yang
- 2009

In this paper, we are concerned with the third-order quasilinear ordinary differential equation (Φp(u)) = f(t, u, u′, u′′), 0 < t < 1, with the nonlinear boundary conditions u(0) = 0, g(u′(0), u′′(0)) = A, h(u′(1), u′′(1)) = B or u(0) = C, L(u′(0), u′(1)) = 0, R(u′(0), u′(1), u′′(0), u′′(1)) = 0, where A,B, C ∈ R,Φp(u) = |u|p−2u(p > 1), f : [0, 1]× R → R is… (More)

- Mingzhu Wu, Zuodong Yang
- Applied Mathematics and Computation
- 2008

- Chunlian Liu, Zuodong Yang
- Applied Mathematics and Computation
- 2008

We consider the boundary blow-up nonlinear elliptic problems ∆u ± λ|∇u|q = k(x)g(u) in a bounded domain with boundary condition u|∂Ω = +∞, where q ∈ [0, 2] and λ ≥ 0. Under suitable growth assumptions on k near the boundary and on g both at zero and at infinity, we show the existence of at least one solution in C2(Ω). Our proof is based on the method of… (More)

- JING MO, ZUODONG YANG
- 2010

In this paper we study the following problem: −Δpu + |u|p−2u = k(x) f (u) + h(x) , x ∈ RN , where u ∈W 1,p(RN) , u > 0 in RN . Under appropriate assumptions on k , h and f , we prove that problem has at least two positive solutions.

- Zhoujin Cui, Zuodong Yang
- Applied Mathematics and Computation
- 2008

This paper deals with nonlinear degenerate parabolic (porous medium) system with localized sources. It is shown that under certain conditions solutions of the equation blow up in finite time for large a and b or large initial data while there exist global positive solutions for small a and b or small initial data. Moreover, it is also shown that all global… (More)

- Zuodong Yang, Qishao Lu
- Appl. Math. Lett.
- 2003

- Qishao Lu, Zuodong Yang, Edward H. Twizell
- Applied Mathematics and Computation
- 2004

- Congming Peng, Zuodong Yang
- Applied Mathematics and Computation
- 2008

- Zuodong Yang
- Applied Mathematics and Computation
- 2006

In this paper, our main purpose is to consider the quasilinear equation 0096-3 doi:10. q Pro Educa 2003SX E-m divðjruj ruÞ 1⁄4 mðxÞf ðuÞ on a domain X R, N P 3, where f is a nonnegative, nondecreasing continuous function which vanishes at the origin, and m is a nonnegative continuous function with the property that any zero of m is contained in a bounded… (More)

- Junli Yuan, Zuodong Yang
- Applied Mathematics and Computation
- 2008