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针对企业研发阶段合作、生产阶段竞争的情形,研究了研发合作联盟的稳定结构。首先利用两阶段博弈的方法给出了任意联盟结构中每个企业的均衡研发投入水平、产量以及利润,接着利用Nash稳定性方法和最大一致集(LCS)方法分别探讨了联盟的短视稳定性以及远视稳定性。结果表明,研发联盟的短视稳定性与远视稳定性结果一致,即溢出率小于0.5时只有两人联盟结构稳定;溢出率大于0.5时,只有大联盟结构稳定。
将媒体报道量M视为时间t的函数,利用非连续函数β/(1+εMI)来刻画媒体报道对传染率的影响,建立了一个分段光滑的SIM传染病模型,给出了模型的非负平衡点的存在性。利用微分方程线性化稳定性理论分析,得到了系统的各平衡点局部稳定的阈值条件,并进一步利用Poincare-Bendixon定理给出了正平衡点全局渐近稳定的充分条件。
利用微分不等式,讨论了一类3阶非线性微分方程解的Sturm比较定理,得到了其解的零点存在的充分性条件.
Multi-soliton solutions of the Korteweg-de Vries equation (KdV)are shown to be globally L2-stable, and asymptotically stable in the sense of Martel-Merle [23]. The proof is surprisingly simple and com...
In the study of solutions to the relativistic Boltzmann equation,their regularity with respect to the momentum variables has been an outstanding question, even local in time, due to the initially unex...
The purpose of this paper is to investigate canonical metrics on a semi-stable vector bundle E over a compact K¨ahler manifold X. It is shown that, if E is semistable,then Donaldson’s functional is bo...
We show that if p is an odd prime then p−1 X k=0 EkEp−1−k  1 (mod p) and p−3 X k=0 EkEp−3−k  (−1)(p−1)/22Ep−3 (mod p),where E0,E1,E2, . . . are ...
Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the ...
In this article we develop a new approach to the problem of the stability of locally conformally K¨ahler structures (l.c.k structures) under small deformations of complex structures and deformations o...
Large time behavior of solutions to abstract differential equations is studied.
In the present work, we numerically explore the existence and stability properties of di erent types of con gurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and d...
We establish the relation between two objects: an integrable system related to Painlev´e II equation, and the symplectic invariants of a certain plane curve TW. This curve describes the average...
We provide a constructive proof on the equivalence of two fundamental concepts: the global Lyapunov function in engineering and the potential function in physics, establishing a bridge be-tween these...
In spring 1973 Frank Adams gave a course at the University of Chicago on localisation and completion. This was in the very early days of the subject,which arose from disparate constructions of Quillen...
We prove the asymptotic stability of 1:1 spin orbit resonance for a stiff viscoelastic rotationally invariant satellite. The main point is that we do not assume any dissipation on the orbital degrees ...

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