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	1. Existence of Three Positive Solutions forWeighted p-Laplacian Boundary Value \Problemson Infinite Intervals
	Song Huijuan ,Yin Jingxue ,Yang Ying
	Mathematics 26 October 2012
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	Abstract:This paper is concerned with the existence of multiple positive solutions for(ω(t)ψp(u'(t)))'+h(t)f(t,u(t),u'(t))=o,t∈(0,+∞);u(0)/1+l(0)=βlim t→0+(ψ -1 p(ω)u')(t),lim t→+∞(ψ -1 p(ω)u')(t)=0; where ω∈C((0,+∞),(0,+∞)), ψp(s)=\|s\|p-2, p>1,β≥0, both h(t) and f(t,u,v) are nonnegative continuous functions thatmay be singular at t=0, l(t)=∣t0 ψ p -1(1/ω)ds. By usinga fixed point theorem due to Avery and Peterson, some sufficient conditions forthe existence of at least three positive solutions to the above problem areestablished. The interesting points are that the weight function $omega$ isassumed to satisfy ψ p -1(1/ω)∈L1(0,b) for all b∈(0,+∞)$rather than ψ p -1(1/ω)∈L1(0,+∞) and the nonlinear term f is involved with the first-order derivative explicitly.
	TO cite this article:Song Huijuan ,Yin Jingxue ,Yang Ying. Existence of Three Positive Solutions forWeighted p-Laplacian Boundary Value \Problemson Infinite Intervals[OL].[26 October 2012] http://en.paper.edu.cn/en_releasepaper/content/4492876


	2. Integral Form of the Fractional Schr
	Dong Jianping
	Mathematics 07 September 2012
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	Abstract:The integral form of the 3D space fractional Schr"odinger equationis derived in this paper. Using this integral equation, we study thescattering problems in the fractional quantum mechanics and obtainthe analytical approximate solutions of the wave function and thescattering amplitude using the Born approximation method. The Bornseries, with corrections of every order, is also given. In the end,we discuss the validity of the Born approximation and show thevalidity condition.
	TO cite this article:Dong Jianping. Integral Form of the Fractional Schr[OL].[ 7 September 2012] http://en.paper.edu.cn/en_releasepaper/content/4488917

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	3. Maximum principles for forward-backward doubly stochastic differential equations with jumps
	Xu Shuli,Jiang jun
	Mathematics 30 August 2012
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	Abstract:The forward-backward stochastic differential equations has received considerable research attention in a large of domains, especially in mathematical finance. The subject of stochastic maximum principles for forward-backward stochastic optimal control problems has been discussed by many authors, this paper researchs a stochastic system consisting of a forward-backward doubly stochastic differential equations with jump and obtains a genereal sufficient maximum principle for forward-backward doubly stochastic differential equations with jump.
	TO cite this article:Xu Shuli,Jiang jun. Maximum principles for forward-backward doubly stochastic differential equations with jumps[OL].[30 August 2012] http://en.paper.edu.cn/en_releasepaper/content/4486654


	4. ultiple periodic solutions of a Michaelis-Menten-type predator-prey system with delay and harvesting
	Xie Wangsheng,Weng Peixuan
	Mathematics 25 June 2012
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	Abstract:In this paper, the existence of eight periodic solutions for a Michaelis-Menten-type predator-prey system with delay and harvesting in patch environment is established by using the analytical techniques and Mawhin‘s coincidence degree theory. An example is given to illustrate the applicability of our results.
	TO cite this article:Xie Wangsheng,Weng Peixuan. ultiple periodic solutions of a Michaelis-Menten-type predator-prey system with delay and harvesting[OL].[25 June 2012] http://en.paper.edu.cn/en_releasepaper/content/4483218


	5. Exponential stability of BAM neural networks with delays via joint periodically intermittent and impulsive control
	HU Jian-Qiang,LIANG Jin-Ling
	Mathematics 05 January 2012
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	Abstract:The exponetial stabilization problem for a class of bidirectional associative memory (BAM) neural networks with discrete delays by the joint periodically intermittent control and impulsive control scheme is investigated, meanwhile the Lipschitzian activation functions in the system do not have to assume their boundedness, monotonicity or differentiability. Some sufficient criteria for global exponential stability are derived by using analysis techniques and Lyapunov function. Finally, a illustrative example is given at the end of this paper to show the effectiveness of our results.
	TO cite this article:HU Jian-Qiang,LIANG Jin-Ling. Exponential stability of BAM neural networks with delays via joint periodically intermittent and impulsive control[OL].[ 5 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4459879


	6. Adaptive Stabilization for Genetic Regulatory Networks with Mixed Delays
	HU Jianqiang,LIANG Jinling
	Mathematics 04 January 2012
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	Abstract:In this paper, the stabilization of a class of mixed delayed genetic regulatory networks (GRNs) is investigated. The adaptive feedback control scheme is used to achieve global asymptotic stability for the GRNs with finite distributed delays and discrete delays. By introducing the integral partitioning technique and delay fractioning approach, a Lyapunov-Krasovskii function (LKF) is constructed, and some sufficient stability criteria in the form of LMIs are established. Finally, a numerical example is given to illustrate the effectiveness of our theoretical results and less conservativeness of the proposed method.
	TO cite this article:HU Jianqiang,LIANG Jinling. Adaptive Stabilization for Genetic Regulatory Networks with Mixed Delays[OL].[ 4 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4459588


	7. A Matrix-array Form for the Multidimensional Discrete Poisson Equation and its Solvability Criterion
	WANG Tong,GE Yaojun,CAO Shuyang
	Mathematics 28 August 2011
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	Abstract:The multidimensional discrete Poisson equation (MDPE) frequently encountered in science and engineering can be expressed, in many cases, as a brief matrix-array equation firstly defined in this paper. This new-style equation consists of a series of small matrices and can be transformed using the Kronecker sum into a familiar system of linear algebraic equations, AX=b. Then it is proved that the eigenvalues and corresponding eigenvectors of A can be obtained directly from those of these small matrices consisting in that matrix-array equation. Based on this connection, a solvability criterion for the matrix-array equation is proposed. Finally, an application of this criterion is carried out, and an inspiration from the above connection are presented and analyzed.
	TO cite this article:WANG Tong,GE Yaojun,CAO Shuyang. A Matrix-array Form for the Multidimensional Discrete Poisson Equation and its Solvability Criterion[OL].[28 August 2011] http://en.paper.edu.cn/en_releasepaper/content/4441076


	8. Quasi-periodic solutions of the Lotka-Volterra Competition Systems with Quasi-periodic Perturbations
	Qihuai Liu,Dingbian Qian,Zhiguo Wang
	Mathematics 04 January 2011
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	Abstract:In this paper, we prove the existence of positive quasi-periodic solutions for the Lotka-Volterra competition systems with quasi-periodic coefficients by KAM technique. The result shows that, in most case, quasi-periodic solutions exist for sufficiently small quasi-periodic perturbations of the autonomous Lotka-Volterra systems. Moreover, these quasi-periodic solutions will tend to an equilibrium of the autonomous Lotka-Volterra.
	TO cite this article:Qihuai Liu,Dingbian Qian,Zhiguo Wang. Quasi-periodic solutions of the Lotka-Volterra Competition Systems with Quasi-periodic Perturbations[OL].[ 4 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4403702


	9. Doubly periodic solutions of a nonlinear wave equation with x-dependent coefficients
	Ji Shuguan
	Mathematics 29 December 2010
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	Abstract:This paper is concerned with the doubly periodic solutions of the nonlinear wave equation with -dependent coefficients Such a model arises from the forced vibrations of a nonhomogeneous string and the propagation of seismic waves in nonisotropic media. Based on the properties of wave operator with -dependent coefficients, we obtain the existence of doubly periodic solutions when the nonlinearity is monotone and bounded.
	TO cite this article:Ji Shuguan. Doubly periodic solutions of a nonlinear wave equation with x-dependent coefficients[OL].[29 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4402372


	10. Optimal control of the nonlinear one dimensional periodic wave equation with x-dependent coefficients
	Li Hengyan,Ji Shuguan
	Mathematics 08 December 2010
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	Abstract:This paper is concerned with an optimal control problem governed by the nonlinear one dimensional periodic wave equation with x-dependent coefficients. The control of the system is realized via the outer function of the state. Such a model arises from the propagation of seismic waves in a nonisotropic medium. For ( are relatively prime positive integers), by investigating some important properties of the linear operator associated with the state equation, we obtain the existence and regularity of the weak solution to the state equation. Furthermore, the existence of the optimal control is proved by means of Arzelà-Ascoli lemma and Sobolev compact imbedding theorem.
	TO cite this article:Li Hengyan,Ji Shuguan. Optimal control of the nonlinear one dimensional periodic wave equation with x-dependent coefficients[OL].[ 8 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4395974

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