1 - 10 of 13 articles
A matrix whose entries are +, −, and 0 is called a sign pattern matrix. For a sign pattern matrix A, if A
=A, then A is said to be sign tripotent. In this paper, the characterization of the n by n(n≥2) sign pattern matrices A which are sign tripotent has been given out. Furthermore, the...
A smooth linear complex partial differential equation in two variables which is without solutions is found.
It is proved that the semilinear elliptic problem with zero boundary value −Δu=λu−|u|
u has a changing sign solution, as q∈(0,1) and λ>λ2, where λ2 is the second eigenvalue of the operator −Δ in the space H
Some exact travelling wave solutions and rational travelling wave solutions of a surface wave equation in a convecting fluid are given in this paper.
In this paper, the Lauwerier map F
(x,y)=(bx(1−2y)+y, ay(1−y)) is considered for a=4. This map possesses a nontrivial topologically transitive attractor Λ which is the closure of the unstable set of some hyperbolic fixed point. Periodic points are dense in Λ and all of them are hyperbolic...
In this paper, a unified diagnostic method for the nonlinear models with random effects based upon the joint likelihood given by Robinson in 1991 is presented. It is shown that the case deletion model is equivalent to the mean shift outlier model. From this point of view, several diagnostic...
Four-layer feedforward regular fuzzy neural networks are constructed. Universal approximations to some continuous fuzzy functions defined on ℱ0 (R)n by the four-layer fuzzy neural networks are shown. At first, multivariate Bernstein polynomials associated with fuzzy valued functions are empolyed...
The global convergence of the general three-term conjugate gradient methods with the relaxed strong Wolfe line-search is proved.
In this paper, a streamline-diffusion F. E. M. for linear Sobolev equations with convection-dominated term is given. According to the range of space-time F. E mesh parameter h, two choices for artifical diffusion parameter δ are presented, and for the corresponding computation schemes the...
A new trust region algorithm for solving convex LC
1 optimization problem is presented. It is proved that the algorithm is globally convergent and the rate of convergence is superlinear under some reasonable assumptions.
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