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1. A Limit Theorem for Solutions of BSDEs with Mao’s Non-Lipschitz Generator in the Space of Processes | |||
TIAN DEJIAN,DENG FANG,LI LI,ZHAO MAN,ZHU DONGYUN | |||
Mathematics 24 February 2009 | |||
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Abstract:Jiang (2006) establishes a limit theorem for solutions of backward stochastic differ-ential equation with Lipschitz generator and Liu et al. (2008) prove the limit theorem analogous to Jiang (2006) under Mao’s non-Lipschitz generator. From a new point of view, Fan and Hu (2008), in the space of processes, research the limit theorem under Lipschitz condition. In virtue of Fan and Hu (2008) and Liu et al. (2008), this paper prove the limit theorem for solutions of backward stochastic differential equation in the space of processes under Mao’s non-Lipschitz condition of generator. | |||
TO cite this article:TIAN DEJIAN,DENG FANG,LI LI, et al. A Limit Theorem for Solutions of BSDEs with Mao’s Non-Lipschitz Generator in the Space of Processes[OL].[24 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29557 |
2. Existence of positive solution for p-Laplacian equation | |||
NingMei | |||
Mathematics 23 February 2009 | |||
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Abstract:In this paper by using the Mountain Pass Lemma we study the existence of positive solutions for the equation for together with Dirichlet boundary conditions, and show that for every the equation has a positive solution. | |||
TO cite this article:NingMei. Existence of positive solution for p-Laplacian equation[OL].[23 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29474 |
3. Rabinowitz's Saddle Point Theorem and Periodic Solutions of Singular Hamiltonian Systems | |||
Zhang Shiqing | |||
Mathematics 06 February 2009 | |||
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Abstract:Using Rabinowitz's Saddle Point Theorem ,we get new periodic solutions for singular Hamiltonian systems without any symmetry | |||
TO cite this article:Zhang Shiqing. Rabinowitz's Saddle Point Theorem and Periodic Solutions of Singular Hamiltonian Systems[OL].[ 6 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28498 |
4. Combined Homotopy Method For Solving Nonconvex | |||
Liu Qinghuai,Wang Xiuyu,Jiang Xingwu | |||
Mathematics 05 February 2009 | |||
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Abstract:For solving nonlinear nonconvex programming problem with a bounded feasible set. An aggregate constraint shifting function with a parameter and a combined homotopy equation are proposed, under the conditions of the feasible set bounded 、connectedand and the regularity of boundary. .The convergence of a smooth homotopy path that from any interior point or any infeasible interior point to a solution of the problem is prove. Numerical examples conclued that this method is feasible and effective. | |||
TO cite this article:Liu Qinghuai,Wang Xiuyu,Jiang Xingwu. Combined Homotopy Method For Solving Nonconvex [OL].[ 5 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28428 |
5. A Aggregate Constraint Shifting Combined Homotopy Method for Solving Nonlinear Programming | |||
Wang Xiuyu,Jiang Xingwu,Liu qinghuai | |||
Mathematics 05 February 2009 | |||
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Abstract:For solving nonlinear nonconvex programming problem only with inequality constraint, We construct aggregate constraint shifting function with a parameter , and combined homotopy equation, under very weak conditions of the feasible set bounded、 connected and the regularity of the boundary.The convergence of a smooth homotopy path which from any interior point or any infeasible interior point to a solution of the problem is proved. Numerical examples concluded that this method is feasible and effective. | |||
TO cite this article:Wang Xiuyu,Jiang Xingwu,Liu qinghuai. A Aggregate Constraint Shifting Combined Homotopy Method for Solving Nonlinear Programming[OL].[ 5 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28421 |
6. On the Space L^{p(x)}(Omega) with unbounded variable exponent $p(x)$ | |||
Liu Duchao | |||
Mathematics 22 December 2008 | |||
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Abstract:Abstract The function space L^{p(x)}(Omega) with unbounded variable exponent, which generalizing the space L^{p(x)}(Omega) with bounded variable exponent, is investigated in this paper. We have defined a norm, investigated some basic properties of it and proved that the space is a Banach function space (and also a Banach space). Some other properties of the space, such as uniform convexity and embedding have also been investigated. As we will see, the properties of L^{p(x)}(Omega) with unbounded variable exponent is more complex than the space with bounded variable exponent. | |||
TO cite this article:Liu Duchao . On the Space L^{p(x)}(Omega) with unbounded variable exponent $p(x)$[OL].[22 December 2008] http://en.paper.edu.cn/en_releasepaper/content/26824 |
7. License plate Recognition Model Based on Neural Networks | |||
LiuYan | |||
Mathematics 05 December 2008 | |||
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Abstract:License Plate Recognition Intelligent Transportation System is an important part of a wide range of applications and a better prospect in the near future license plate recognition system will be in the public security, communications, high-speed, and other departments are widely used. In this paper, neural network since the license plate number on the Lenovo models for pattern recognition, this model has a fast algorithm to identify high-precision, high anti-noise performance advantages. I believe this model has a certain practical value. | |||
TO cite this article:LiuYan. License plate Recognition Model Based on Neural Networks[OL].[ 5 December 2008] http://en.paper.edu.cn/en_releasepaper/content/26341 |
8. Modified local fractional derivative and its fundaments | |||
Yang Xiaojun | |||
Mathematics 25 November 2008 | |||
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Abstract:Based on the concept of Jumarie’s fractional calculus, local fractional derivative is modified in detail. Its fundaments of local fractional derivative are proposed. Uniqueness of local fractional derivative is obtained and Rolle’s theorem, Cauchy’s generalized mean value theorem and L’Hospital’s rules are proved. Its fundaments of the local extreme value of function are discussed. Increasing/ decreasing test and the -derivative test are proved based on its properties. | |||
TO cite this article:Yang Xiaojun. Modified local fractional derivative and its fundaments[OL].[25 November 2008] http://en.paper.edu.cn/en_releasepaper/content/26025 |
9. Combination Forecast Model of Urban Water Consumption | |||
MA Dan,BAI Qing-sheng | |||
Mathematics 04 October 2008 | |||
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Abstract:Seeking for a scientific and reasonable forecast model is the key point to ensure accurate and reliable prediction results for the urban water consumption. In this paper, a new model is established to solve the combinatorial weighted coefficients by using the forecast precision, and a simple method is introduced to solve the grey-neural network combination forecast model. Based on many examples, the new urban water consumption forecast model is proved to be very effective and much more accurate. | |||
TO cite this article:MA Dan,BAI Qing-sheng. Combination Forecast Model of Urban Water Consumption[OL].[ 4 October 2008] http://en.paper.edu.cn/en_releasepaper/content/24520 |
10. ERLANG(2) RISK PROCESSES WITH CONSTANT DIVIDED BARRIER | |||
Niu Ming-fei,Zhang Guo-shuai,Qi Ji-wei,Zhang Kai-wen | |||
Mathematics 14 July 2008 | |||
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Abstract:In this paper, we consider a risk process in which claim inter-arrival times have an Erlang(2) distribution, and the risk model is considered in the presence of a constant barrier. An integro-differential equation for the Gerber-Shiu function is derived and solved. We show that its solution can be expressed as the solution to the Gerber-Shiu discounted penalty function in the same risk model without barrier and a combination of two linearly independent solutions to the associated homogeneous integro-differential equation. | |||
TO cite this article:Niu Ming-fei,Zhang Guo-shuai,Qi Ji-wei, et al. ERLANG(2) RISK PROCESSES WITH CONSTANT DIVIDED BARRIER[OL].[14 July 2008] http://en.paper.edu.cn/en_releasepaper/content/22841 |
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