On detection of change points using mean vectorsActa Mathematicae Applicatae Sinica, English Series - Tập 9 - Trang 193-203 - 1993
Baiqi Miao, Lincheng Zhao, P. R. Krishnaiah
In this paper, the authors consider the problem of change points within the framework of model selection and propose a procedure for estimating the locations of change points when the number of change points is known. The strong consistency of this procedure is also established. The problem of detecting change points is discussed within the framework of the simultaneous test procedure. The case wh...... hiện toàn bộ
Case-cohort analysis with general additive-multiplicative hazard modelsActa Mathematicae Applicatae Sinica, English Series - Tập 32 - Trang 851-866 - 2016
Yi Sun, Wen Yu, Ming Zheng
The case-cohort design is widely used in large epidemiological studies and prevention trials for cost reduction. In such a design, covariates are assembled only for a subcohort which is a random subset of the entire cohort and any additional cases outside the subcohort. In this paper, we discuss the case-cohort analysis with a class of general additive-multiplicative hazard models which includes t...... hiện toàn bộ
The impulsive solution for a semi-linear singularly perturbed differential-difference equationActa Mathematicae Applicatae Sinica, English Series - Tập 32 - Trang 333-342 - 2016
Ai-feng Wang, Mei Xu, Ming-kang Ni
The impulsive solution for a semi-linear singularly perturbed differential-difference equation is studied. Using the methods of boundary function and fractional steps, we construct the formula asymptotic expansion of the problem. At the same time, Based on sewing techniques, the existence of the smooth impulsive solution and the uniform validity of the asymptotic expansion are proved.
Ideal Systems and Connecting OrbitsActa Mathematicae Applicatae Sinica, English Series - Tập 20 - Trang 617-622 - 2004
Shu-xiang Yu, Zuo-huan Zheng, Fan-nu Hu
In this paper,we study a class of dynamical systems in R
n
— ideal systems and give an existence criterion of quasi-connecting orbits for such systems. Also, an existence criterion of connecting orbits for general systems is given.
Hamiltonian decomposition of Cayley graphs of ordersp 2 andpqActa Mathematicae Applicatae Sinica, English Series - Tập 16 - Trang 78-86 - 2000
Li Haizhu, Wang Jianfang, Sun Liang
In this paper, it is proved that any connected Cayley graph on an abelian group of order pq orp
2 has a hamiltonian decomposition, wherep andq are odd primes. This result answers partially a conjecture of Alspach concerning hamiltonian decomposition of 2k-regular connected Cayley graphs on abelian groups.
Regularity of Invariant Sets in Variable Internal Damped Wave EquationsActa Mathematicae Applicatae Sinica, English Series - Tập 36 Số 4 - Trang 952-974 - 2020
Yue, Gao-cheng, Liang, Yu-xin, Yang, Jia-jia
In this paper we prove that every compact invariant subset $$\mathscr{A}$$ associated with the semigroup Sn,k(t)t≥0 generated by wave equations with variable damping, either in the interior or on the boundary of the domain where Ω ⊂ ℝ3 is a smooth bounded domain, in H 0 1 (Ω) × L2(Ω) is in fact bounded in D(B0) × H 0 1 (Ω). As an application of our results, we obtain the upper-semicontinuity for g...... hiện toàn bộ
Qualitative analysis and solutions of bounded traveling wave for B-BBM equationActa Mathematicae Applicatae Sinica, English Series - Tập 26 - Trang 415-426 - 2010
Yan Zhao, Wei-guo Zhang
In this paper, we apply the theory of planar dynamical systems to carry out qualitative analysis for the dynamical system corresponding to B-BBM equation, and obtain global phase portraits under various parameter conditions. Then, the relations between the behaviors of bounded traveling wave solutions and the dissipation coefficient µ are investigated. We find that a bounded traveling wave solutio...... hiện toàn bộ