EUDML

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A problem arising in finite population sampling theory.

Tzen-Ping Liu; M.E. Thompson — 1985

Aequationes mathematicae

Existence theory for nonlinear hyperbolic systems in nonconservative form.

Philippe Le Floch; Tai-Ping Liu — 1993

Forum mathematicum

The Generalized Saddle-Node Bifurcation of Degenerate Solution

Ping Liu; Yu-Wen Wang — 2005

Commentationes Mathematicae

In this paper we discuss the bifurcation problem for the abstract operator equation of the form $F (u, λ) = θ$ with a parameter $λ$ , where $F : X \times R \to Y$ is a $C^{1}$ mapping, $X, Y$ are Banach spaces. By the bounded linear generalized inverse $A^{+}$ of $A = F_{u} (u_{0}, λ_{0})$ , an abstract bifurcation theorem for the case $dim N (F_{u} (u_{0}, λ_{0})) \geq codim R (F_{u} (u_{0}, λ_{0})) = 1$ has been obtained.

Rejection of nonharmonic disturbances in nonlinear systems

Shutang Liu; Yuan Jiang; Ping Liu — 2010

Kybernetika

This paper proposes an asymptotic rejection algorithm on the rejection of nonharmonic periodic disturbances for general nonlinear systems. The disturbances, which are produced by nonlinear exosystems, are nonharmonic and periodic. A new nonlinear internal model is proposed to deal with the disturbances. Further, a state feedback controller is designed to ensure that the system's state variables can asymptotically converge to zero, and the disturbances can be completely rejected. The proposed algorithm...

Exact solutions of supersymmetric Burgers equation with Bosonization procedure

Bo Ren; Xiao-Nan Gao; Jun Yu; Ping Liu — 2015

Open Mathematics

Using bosonization approach, the N=1 supersymmetric Burgers (SB) system is changed to a system of coupled bosonic equations. The difficulties caused by intractable anticommuting fermionic fields can be effectively avoided with the approach. By solving the coupled bosonic equations, the traveling wave solutions of the SB system can be obtained with the mapping and deformation method. Besides, the richness of the localized excitations of the supersymmetric integrable system is discovered. In the meanwhile,...

The Affine Frame in $p$ -adic Analysis

Ming Gen Cui; Huan Min Yao; Huan Ping Liu — 2003

Annales mathématiques Blaise Pascal

In this paper, we will introduce the concept of affine frame in wavelet analysis to the field of $p$ -adic number, hence provide new mathematic tools for application of $p$ -adic analysis.