Acta Mathematicae Applicatae Sinica, English Series
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Asymptotic ruin probabilities of the renewalmodel with constant interest force and dependent heavy-tailed claims
Acta Mathematicae Applicatae Sinica, English Series - Tập 27 - Trang 329-338 - 2011
In this paper, we investigate the asymptotic behavior for the finite- and infinite-time ruin probabilities of a nonstandard renewal model in which the claims are identically distributed but not necessarily independent. Under the assumptions that the identical distribution of the claims belongs to the class of extended regular variation (ERV) and that the tails of joint distributions of every two c...... hiện toàn bộ
On Connectedness of Efficient Solution Sets for a Star Cone-Quasiconvex Vector Optimization Problem
Acta Mathematicae Applicatae Sinica, English Series - Tập 23 - Trang 91-98 - 2007
In this note, we prove that the efficient solution set for a vector optimization problem with a continuous, star cone-quasiconvex objective mapping is connected under the assumption that the ordering cone is a D-cone. A D-cone includes any closed convex pointed cones in a normed space which admits strictly positive continuous linear functionals.
The persistence and stability for a predator-parasite-pest system
Acta Mathematicae Applicatae Sinica, English Series - Tập 12 - Trang 216-224 - 1996
The model of a kind of predator-parasite-pest system is built in this paper in which the parasite population is controlled by predator in such a way that it preys upon the pest individuals parasitized. A disgusty of predator for preying upon the pest individuals parasitized is introduced in the model to measure the intensity that the parasite population was controlled by the predator. The persiste...... hiện toàn bộ
A Finite Element Method for Singularly Perturbed Reaction-diffusion Problems
Acta Mathematicae Applicatae Sinica, English Series - Tập 19 - Trang 25-30 - 2003
A finite element method is proposed for the singularly perturbed reaction-diffusion problem. An optimal error bound is derived, independent of the perturbation parameter.
The point process of state transitions in a regular Markov chain
Acta Mathematicae Applicatae Sinica, English Series - Tập 14 - Trang 374-380 - 1998
In this paper, we study the point process of state transitions in a regular Markov chain. Under a weaker condition, we prove that the point process is a 1-memory self-exciting point process and again obtain four useful formulas of the transition frequency, the absorbing distribution, the renewal distribution and the entering probability. As an application, using these formulas we derive the LS tra...... hiện toàn bộ
Infinite Interval Backward Stochastic Differential Equations in the Plane
Acta Mathematicae Applicatae Sinica, English Series - Tập 19 - Trang 485-490 - 2017
This paper studies the existence and uniqueness of solution of infinite interval backward stochastic
differential equation (BSDE) in the plane driven by a Brownian sheet.
A characterization for a sequence to be potentially K r+1 − e-graphic
Acta Mathematicae Applicatae Sinica, English Series - Tập 29 - Trang 787-792 - 2013
Let n ≥ r, let π = (d
1, d
2, ..., d
n
) be a non-increasing sequence of nonnegative integers and let K
r+1 − e be the graph obtained from K
r+1 by deleting one edge. If π has a realization...... hiện toàn bộ
The Distance Matching Extension in K1,k-free Graphs with High Local Connectedness
Acta Mathematicae Applicatae Sinica, English Series - Tập 38 - Trang 37-43 - 2022
A matching is extendable in a graph G if G has a perfect matching containing it. A distance q matching is a matching such that the distance between any two distinct matching edges is at least q. In this paper, we prove that any distance 2k − 3 matching is extendable in a connected and locally (k − 1)-connected K1,k-free graph of even order. Furthermore, we also prove that any distance q matching M...... hiện toàn bộ
Discussions on heat kernel measure and pinned wiener measure
Acta Mathematicae Applicatae Sinica, English Series - Tập 16 - Trang 444-446 - 2000
Contractivity and exponential stability of solutions to nonlinear neutral functional differential equations in banach spaces
Acta Mathematicae Applicatae Sinica, English Series - Tập 28 Số 2 - Trang 289-304 - 2012
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