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The Perturbed Compound Poisson Risk Model with Proportional Investment
《Acta Mathematicae Applicatae Sinica》2024年第1期109-128,共20页Nai-dan Deng Chun-wei Wang Jia-en Xu 
supported by the National Natural Science Foundation of China (No. 71801085)。
In this paper, the insurance company considers venture capital and risk-free investment in a constant proportion. The surplus process is perturbed by diffusion. At first, the integro-differential equations satisfied b...
关键词：expected discounted dividend payments lognormal distribution proportional investment perturbed risk model sinc numerical method 
Painlevé-Kuratowski Stability of the Solution Sets to Perturbed Vector Generalized Systems
《Acta Mathematicae Applicatae Sinica》2018年第2期304-317,共14页Zai-yun PENG Yong ZHAO Xin-min YANG 
Supported by the National Natural Science Foundation of China(No.11431004.11471059.11401058);the Basic and Advanced Research Project of Chongqing(cstc2017jcyj AX0382,cstc2015shmszx30004);the Program for University Innovation Team of Chongqing(CXTDX201601022);the Education Committee Project Foundation of Bayu Scholar
In this paper, stability results of solution mappings to perturbed vector generalized system are studied. Firstly, without the assumption of monotonicity, the Painleve-Kuratowski convergence of global efficient soluti...
关键词：Painleve-Kuratowski convergence global efficient solution sets efficient solution sets~ perturbedgeneralized systems 
Ruin Probabilities for a Two-Dimensional Perturbed Risk Model with Stochastic Premiums被引量：5
《Acta Mathematicae Applicatae Sinica》2016年第4期1053-1066,共14页Jian-hua CHENG De-hui WANG 
Supported by the National Natural Science Foundation of China(No.11271155,11371168,J1310022,11501241);Natural Science Foundation of Jilin Province(20150520053JH);Science and Technology Research Program of Education Department in Jilin Province for the 12th Five-Year Plan(440020031139)
In this paper, we consider a two-dimensional perturbed risk model with stochastic premiums and certain dependence between the two marginal surplus processes. We obtain the Lundberg-type upper bound for the infinite-ti...
关键词：two-dimensional risk model ruin probability upper bound dependent risk asymptotic estimate 
Painlevé-Kuratowski Convergences of the Solution Sets for Perturbed Vector Equilibrium Problems without Monotonicity被引量：3
《Acta Mathematicae Applicatae Sinica》2014年第4期845-858,共14页Zai-yun PENG Xin-min YANG 
Supported by the National Natural Science Foundation of China(No.11301571.11271389.11271391);the Natural Science Foundation Project of ChongQing(No.CSTC,2012jjA00016.2011BA0030);the Education Committee Research Foundation of ChongQing(KJ130428)
In this paper, we obtain some stability results for perturbed vector equilibrium problems. Under new assumptions, which are weaker than the assumption of C-strict monotonicity, we provide sufficient conditions for the...
关键词：stability Painlev6-Kuratowski convergence efficient solution perturbed vector equilibrium prob-lem SCALARIZATION 
The Perturbed Problem on the Boussinesq System of Rayleigh-Bénard Convection
《Acta Mathematicae Applicatae Sinica》2014年第1期75-88,共14页Jian-guo SHI Shu WANG Ke WANG Feng-ying HE 
Supported by National Basic Research Program of China(973 Program,Grant No.2011CB808002);National Natural Sciences Fundation of China(Grant No.11371042);BNSF(No.1132006);Beijing Education Committee Foundation(No.CIT&TCD20130312);HNNSF(112300410251,132300410250,132300410084);KYTF of Henan Education Commitee(2011GGJS-210)
In this paper,the infinite Prandtl number limit of Rayleigh-B′enard convection is studied.For well prepared initial data,the convergence of solutions in L∞（0,t;H2（G）） is rigorously justified by analysis of asymp...
关键词：infinite Prandtl number limit Rayleigh-B^nard convection boussinesq system ASYMPTOTIC EXPANSIONS iterative techniques 
The Phase-type Risk Model Perturbed by Diffusion under a Threshold Dividend Strategy
《Acta Mathematicae Applicatae Sinica》2013年第1期215-224,共10页Wu-yuan Jiang Zhou-jun Yang 
Supported by the National Natural Sciences Foundations of China (70971037 and 71171078);the Doctoral Fund of Ministry of Education of China (20100161110022);China Postdoctoral Science Foundation funded project(2012M521514);Hunan Postdoctoral Scientific Program of China (2012RS4030);the Sciences Foundations of Hunan Institute of Science and Technology of China (2012Y26);the aid program for Science and Technology Research Team in Higher Educational Institutions of Hunan Province of China
This paper considers a perturbed renewal risk process in which the inter-claim times have a phasetype distribution under a threshold dividend strategy. Integro-differential equations with certain boundary conditions f...
关键词：DIFFUSION dividend payments threshold dividend strategy integro-differential equation rationalfamily Phase-type distribution 
Painlev-Kuratowski Convergences of the Solution Sets to Perturbed Generalized Systems被引量：1
《Acta Mathematicae Applicatae Sinica》2012年第2期361-370,共10页Zhi-miao FANG Sheng-jie LI 
Supported by the National Natural Science Foundation of China (No. 10871216 and 11171362)
In this paper, we obtain the Painleve-Kuratowski Convergence of the efficient solution sets, the weak efficient solution sets and various proper efficient solution sets for the perturbed generalized system with a sequ...
关键词：Painleve-Kuratowski convergence Camma-convergence continuous convergence perturbedgeneralized systems SCALARIZATION 
A Note on the Perturbed Compound Poisson Risk Model with a Threshold Dividend Strategy
《Acta Mathematicae Applicatae Sinica》2009年第2期205-216,共12页Bo Li Rong Wu 
Supported by the National Basic Research Program of China(973 Program) 2007CB814905;the National Natural Science Foundation of China(No.10871102);the Research Fund of the Doctorial Program of Higher Education,the Keygrant Project of Chinese Ministry of Education(No.309009)
In this paper, we consider the Perturbed Compound Poisson Risk Model with a threshold dividend strategy （PCT）. Integro-differential equations （IDE） for its Cerber-Shiu functions and dividend payments function are ...
关键词：Gerber-Shiu function threshold dividend strategy expected discounted payments function integro-differential equation 
Bifurcations of Limit Cycles in A Perturbed Quintic Hamiltonian System with Six Double Homoclinic Loops
《Acta Mathematicae Applicatae Sinica》2008年第2期313-328,共16页Yong-xi Gao Yu-hai Wu Li-xin Tian 
the fund of Youth of Jiangsu University(05JDG011);the National Nature Science Foundation of China(No:90610031);Outstanding Personnel Program in Six Fields of Jiangsu(No:6-A-029);Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of POE,China(No:2002-383).
This paper concerns with the number and distributions of limit cycles of a quintic subject to a seven-degree perturbation. With the aid of numeric integral computation provided by Mathematica 4.1, at least 45 limit cy...
关键词：limit cycles the Hilbert＇s 16th problem the double homoclinic loops stability Poincare-Bendixsontheorem 
The Same Distribution of Limit Cycles in a Hamiltonian System with Nine Seven-order Perturbed Terms被引量：1
《Acta Mathematicae Applicatae Sinica》2008年第1期167-176,共10页Tao Jiang Zhi-yan Yang 
the National Natural Science Foundation of China (No. 10671063)
Using qualitative analysis and numerical simulation, we investigate the number and distribution of limit cycles for a cubic Hamiltonian system with nine different seven-order perturbed terms. It is showed that these p...
关键词：Limit cycles BIFURCATION 
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