A smoothing QP-free infeasible method for nonlinear inequality constrained optimizationApplied Mathematics-A Journal of Chinese Universities - Tập 22 Số 4 - Trang 425-433 - 2007
Zhou, Yan, Pu, Dingguo
In this paper, a smoothing QP-free infeasible method is proposed for nonlinear inequality constrained optimization problems. This iterative method is based on the solution of nonlinear equations which is obtained by the multipliers and the smoothing Fisher-Burmeister function for the KKT first-order optimality conditions. Comparing with other QP-free methods, this method does not request the stric...... hiện toàn bộ
The list chromatic numbers of some planar graphsApplied Mathematics-A Journal of Chinese Universities - Tập 14 - Trang 108-116 - 1999
Lü Enyue, Zhang Kemin
In this paper the choosability of outerplanar graphs, 1-tree and strong 1-outerplanar graphs have been described completely. A precise upper bound of the list chromatic number of 1-outerplanar graphs is given, and that every 1-outerplanar graph with girth at least 4 is 3-choosable is proved.
Some results on R 2-edge-connectivity of even regular graphsApplied Mathematics-A Journal of Chinese Universities - Tập 14 - Trang 366-370 - 1999
Junming Xu
Let G be a connected k(≥3)-regular graph with girth g. A set S of the edges in G is called an R
2-edge-cut if G-S is disconnected and contains neither an isolated vertex nor a one-degree vertex. The R
2-edge-connectivity of G, denoted by λ
n(G), is the minimum cardinality over all R
2-edge-cuts, which is an important measure for fault...... hiện toàn bộ
Boundedness in a fully parabolic quasilinear repulsion chemotaxis model of higher dimensionApplied Mathematics-A Journal of Chinese Universities - Tập 35 - Trang 244-252 - 2020
Shuang-shuang Zhou, Ting Gong, Jin-ge Yang
We deal with the boundedness of solutions to a class of fully parabolic quasilinear repulsion Chemotaxis systems $$\begin{cases}u_{t}= \nabla \cdot(\phi(u)\nabla{u})+\nabla\cdot(\psi(u)\nabla{v}), & (x,t)\in\Omega\times(0,T),\\v_{t}=\Delta{v}-v+u, & (x,t)\in\Omega\times(0,T),\end{cases}$$ under homogeneous Neumann boundary conditions in a smooth bounded domain Ω ⊂ ℝN(N ≥ 3), where 0 < ψ(u) ≤ K(u +...... hiện toàn bộ
K1,k-factorization of bipartite graphsApplied Mathematics-A Journal of Chinese Universities - Tập 12 - Trang 493-498 - 1997
Du Beiliang
In this paper, a necessary condition for a bipartite graph λKm,n to be K
1.k
-factorizable and a sufficient condition for kK
m,n
to have a K
1,k
-factorization whenever k is a prime number are given.
Positive solutions for some 1-dimensional boundary value problems of Laplace-typeApplied Mathematics-A Journal of Chinese Universities - Tập 22 - Trang 13-20 - 2007
Zhanbing Bai, Xiangqian Liang, Weiming Li
This paper deals with the existence of triple positive solutions for the 1-dimensional equation of Laplace-type
$$\left( {\phi (x'(t))} \right)^\prime + q(t)f(t,x(t),x'(t)) = 0, t \in (0,1),$$
subject to the following boundary condition:
...... hiện toàn bộ
New oscillation criteria for second-order nonlinear matrix differential equationsApplied Mathematics-A Journal of Chinese Universities - Tập 21 - Trang 313-319 - 2006
Xu Yancong, Meng Fanwei
Some new oscillation criteria are established for the second-order matrix differential system (r(t)Z′(t))′+p(t)Z′(t)+Q(t)F(Z′(t))G(Z(t))=0, t≥
0
>0, are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t
0
, ∞), rather than o...... hiện toàn bộ