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| 1 | POSITIVE SOLUTIONS TO m-POINT BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH p-LAPLACIAN显示文摘In this paper,we are concerned with the existence of positive solutions to an m-point boundary value problem with p-Laplacian of nonlinear fractional differential equation.By means of Krasnosel'skii fixed-point theorem on a convex cone and Leggett-Williams fixed-point theorem,the existence results of solutions are obtained. | Anping Chen~1,2,Yi Chen~1 (1.School of Math.and Computational Science,Xiangtan University,Xiangtan 411005,Hunan 2.Dept.of Math.,Xiangnan University,Chenzhou 423000,Hunan) | 2011 | Annals of Differential Equations2011，27，4： | 15 |
| 2 | EXISTENCE AND UNIQUENESS OF ANTI-PERIODIC SOLUTIONS TO AN nTH-ORDER NONLINEAR DIFFERENTIAL EQUATION WITH MULTIPLE DEVIATING ARGUMENTS显示文摘In this paper,we use the Leray-Schauder degree theory to establish some new results on the existence and uniqueness of anti-periodic solutions to an nth-order nonlinear differential equation with multiple deviating arguments. | Jianzhong Xu 1,2,Zongfu Zhou 1 (1.Dept.of Math.,Bozhou Teachers College,Bozhou 236800,Anhui,2.School of Mathematical Sciences,Anhui University,Hefei 230039) | 2012 | Annals of Differential Equations2012，28，1： | 13 |
| 3 | AN EXISTENCE THEOREM OF POSITIVE SOLUTIONS FOR ELASTIC BEAM EQUATION WITH BOTH FIXED END-POINTS显示文摘By using the degree theory on cone an existence theorem of positive solution for a class of fourth-order two-point BVP’s is obtained. This class of BVP’s usually describes the deformation of the elastic beam with both fixed end-points. | Jiang Xiufen Yao Qingliuof Math., Northwest Normal Univ., Lanzhou 730070. | 2001 | Applied Mathematics(A Journal of Chinese Universities)2001，16，3： | 12 |
| 4 | PRECISE RATE IN THE LAW OF ITERATED LOGARITHM FOR ρ-MIXING SEQUENCE显示文摘Let {X,X n;n≥1} be a strictly stationary sequence of ρ-mixing random variables with mean zero and finite variance. Set S n=n k=1X k,M n=max k≤n|S k|,n≥1. Suppose lim n→∞ES2 n/n=∶σ2>0 and ∞n=1ρ 2/d(2n)<∞, where d=2,if -12(b+1),if b≥0. It is proved that,for any b>-1, limε0ε 2(b+1)∞n=1(loglogn)bnlognP{M n≥εσ2nloglogn}= 2(b+1)πГ(b+3/2)∞k=0(-1)k(2k+1) 2b+2,where Г(·) is a Gamma function. | Huang Wei Zhang Lixin Jiang YeDept.of Math.,Zhejiang Univ.,Hangzhou 310028,China. | 2003 | Applied Mathematics(A Journal of Chinese Universities)2003，18，4： | 8 |
| 5 | PROPERTIES OF SPECTRA OF GRAPHS AND LINE GRAPHS显示文摘Let G be a simple connected graph with n vertices and m edges,L G be the line graph of G and λ 1(L G)≥λ 2(L G)≥...≥λ m(L G) be the eigenvalues of the graph L G.In this paper,the range of eigenvalues of a line graph is considered.Some sharp upper bounds and sharp lower bounds of the eigenvalues of L G are obtained.In particular,it is proved that-2cos(πn)≤λ n-1 (L G)≤n-4 and λ n(L G)=-2 if and only if G is bipartite. | Chen YanDept.of Math.,Zhejiang Education Institute,Hangzhou 310012,China. | 2002 | Applied Mathematics(A Journal of Chinese Universities)2002，17，3： | 8 |
| 6 | THE SINGULARLY PERTURBED NONLINEAR BOUNDARY VALUE PROBLEMS显示文摘The singularly perturbed nonlinear boundary value problems are considered.Using the stretched variable and the method of boundary layer correction,the formal asymptotic expansion of solution is obtained.And then the uniform validity of solution is proved by using the differential inequalities. | Mo JiaqiDept.of Math.,Anhui Normal Univ.,Wuhu 241000. | 2000 | Applied Mathematics(A Journal of Chinese Universities)2000，15，4： | 8 |
| 7 | EXACT SOLUTIONS FOR GENERAL VARIABLE-COEFFICIENT KdV EQUATION显示文摘By asing the nonclassical method of symmetry reductions, the exact solutions for general variable coefficient KdV equation with dissipative loss and nonuniformity terms are obtained. When the dissipative loss and nonuniformity terms don’t exist, the multisoliton solutions are found and the corresponding Painleve II type equation for the variable coefficient KdV equation is given. | Liu Xiqiang Jiang SongGraduate School, China Academy of Engineering and Physics, P.O. Box 2101, Beijing 100088 Dept. of Math., Liaocheng Teachers Univ., Shandong 252000. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beiji | 2001 | Applied Mathematics(A Journal of Chinese Universities)2001，16，4： | 8 |
| 8 | ITERATIVE APPROXIMATION OF FIXED POINTS OF (ASYMPTOTICALLY) NONEXPANSIVE MAPPINGS显示文摘Let E be a uniformly convex Banach space which satisfies Opial’s condition or has a Frechet differentiable norm,and C be a bounded closed convex subset of E. If T∶C→C is (asymptotically)nonexpansive,then the modified Ishikawa iteration process defined byx n+1 =t nT ns nT nx n+1-s nx n+(1-t n)x n,converges weakly to a fixed point of T ,where {t n} and {s n} are sequences in [0,1] with some restrictions. | Zeng LuchuanDept. of Math.,Shanghai Normal Univ.,Shanghai 200234. | 2001 | Applied Mathematics(A Journal of Chinese Universities)2001，16，4： | 8 |
| 9 | A new family of windows——convolution windows and their applications显示文摘A new family of windows is constructed by convolutions via a few rectangular windows with same time width and is thus referred to as convolution windows. The expressions of the second-order up to the eighth-order convolution windows in both the time and frequency domains are derived. Their applications in high accuracy harmonic analysis of periodic signals are investigated. Comparisons between the proposed windows and some known windows with the same width shows that, when the synchronous deviation of data sampling is slight, the proposed ones have the least effect of spectral leakage. Therefore, the new windows are well suited for high accuracy harmonic analysis and parameter estimation for periodic signals. The error analysis and computer simulations show that the estimation errors, corresponding to frequency, amplitude and phase of every harmonic component of a signal, are proportional to the pth power of the relative frequency deviation in case of the pth-order convolution window is applied to windowing signal of approximately p cycles. By introducing real time adjustment in sampling interval, the proposed algorithm can adaptively trace signal frequency and lead to less sampling synchronous deviation. The proposed approach has the advantages of easy implementation and high measure precision and can be used in harmonic analysis of quasi-periodic signals whose fundamental frequency drifts slowly with time. | ZHANG Jieqiu1,2, LIANG Changhong1 & CHEN Yanpu3 1. Department of Applied Math. & Phys., College of Science, Airforce Engineering University, Xi’an 710051, China 2. National Key Laboratory of Antennas and Microwave Technology, Xidian University, Xi’an 710071, China 3. Computer Center, Xi’an Communication College, Xi’an 710106, China | 2005 | Science China(Technological Sciences)2005，48，4： | 7 |
| 10 | REFLECTIVE FUNCTION AND PERIODIC SOLUTION OF DIFFERENTIAL SYSTEMS显示文摘This article deals with the reflective function of the mth-order nonlinear differential systems.The results are applied to discussing the stability property of periodic solutions of these systems. | Zhou ZhengxinDept.of Math.,College of Science,Yangzhou Univ.,Yangzhou 225002. | 2002 | Applied Mathematics(A Journal of Chinese Universities)2002，17，1： | 7 |
| 11 | EXACT SOLUTIONS OF SOME FIFTH-ORDER NONLINEAR EQUATIONS显示文摘To solve the nonlinear partial differential equations is changed into solving some algebraic equations by using the function U to be expressed as linear independent functions. The new soliton and periodic solutions of some fifth\|order nonlinear partial differential equations are obtained. | Liu Xiqiang\ Bai ChenglinInstitute of Appl.Phys. and Com putational Mathem atics,PO Box 2101,Beijing 100088 Dept.of Math.,Liaocheng Teachers Univ.,Liaocheng 252059.Dept. of Com m unication Engineering,Liaocheng Teachers Univ.,Liao cheng 252059. | 2000 | Applied Mathematics(A Journal of Chinese Universities)2000，15，1： | 7 |
| 12 | EXTREMAL SOLUTIONS OF TERMINAL VALUE PROBLEMS FOR NONLINEAR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES显示文摘The comparison principle is first established,and then the lower and upper solution method and the monotone iterative technique are employed to the study of terminal value problems for the first order nonlinear impulsive integro\|differential equations in Banach spaces.Finally,the existence theorem on the maximal and minimal solutions is obtained. | Qi ShishuoDept. of Math.,Shandong Univ.,Jinan 250100. | 2000 | Applied Mathematics(A Journal of Chinese Universities)2000，15，1： | 6 |
| 13 | The Asymptotic Behavior of a Class of Second Order Differential Equation显示文摘In the paper the asympotic behavior of the solution of the following second order differential equation y+ q(t)f(y) =0 is investigated. Some results for asymptotic behavior of the nonoscillation solution are obtained. | FENG Zhao-sheng, WANC Xiao-hui, LI Jin-cheng ( Dept. of Math., Texas A&M University, College Station, TX 77843, USA Dept. of Stat., Texas A&M University, College Station, TX 77843, USA Basic Dep., Tianjin Vocational Tech. & Teaching College, Tianjin 3 | 2001 | Journal of Mathematical Research and Exposition2001，21，3： | 6 |
| 14 | An M/G/1 Queueing System with Delay Server Vacations | TANG Yinghui\ TANG Xiaowo (Department of Applied Math.,Management college,Univer.of Electronic Science and Technology of China, Chengdu,Sichuan 610054 | 1998 | Systems Science and Systems Engineering1998，8，1： | 6 |
| 15 | Some Reliability Problems Arising in the M^x/G(M/G)/1 Repairable Queueing System with Single Delay Vacation显示文摘On the basis of Ref.\, the M x/G(M/G)/1 repairable queueing system with single delay vacation is discussed again. The following reliability problems of the service station are studied: (a) The probability that it fails at time t , i.e. its unavailability; (b) The expected failure number during the time interval (0,t\]; (c) The expected failure number during the ″server busy period″; (d) The expected downtime during the time interval (0,t\]. Some reliability results of the service station are obtained. These results would be interest to reliability analysts. | TANG Ying-hui Department of Applied Math., University of Electronics Science & Technology of China, Chengdu 610054, China | 2001 | Journal of Systems Science and Systems Engineering2001，13，3： | 6 |
| 16 | DEGREE CONDITIONS OF INDUCED MATCHING EXTENDABLE GRAPHS显示文摘A simple graph G is induced matching extendable,shortly IM\|extendable,if every induced matching of G is included in a perfect matching of G .The degree conditions of IM\|extendable graphs are researched in this paper.The main results are as follows:\;(1) 2n/32n/32n/32n/3 is the minimum integer δ such that every graph with minimum degree at least δ is IM\|extendable,where n=|V(G)|≥6 is even.\;(2) is the minimum integer δ such that every graph with minimum degree at least δ is IM\|extendable,where n=|V(G)|≥6 is even.\;(2) (2n-2)/3 is the minimum integer k such that, for k′≥k ,every k ′ regular graph with vertex number n is IM\|extendable,where n=|V(G)| is even, n ≥8 and n ≠10. | Liu Yan\ Yuan Jinjiang\ Wang Shiying Dept.ofSystem Sci.and Math.,Zhengzhou Univ.,Zhengzhou 450052 | 2000 | Applied Mathematics(A Journal of Chinese Universities)2000，15，1： | 6 |
| 17 | An Algorithm to Solve Linear Bilevel Programs | LIU Xiaomin WANG Rishuang(Dept. of Math. Beijing University of Aero.& Astro.,Beijing,100083,P.R.China)WANG Shouyang WANG Qian (Institute of Systems Science,Chinese Academy of Sciences. Beijing,100081, P.R. China) | 1995 | Systems Science and Systems Engineering1995，5，2： | 6 |
| 18 | A lumped mass nonconforming finite element method for nonlinear parabolic integro-differential equations on anisotropic meshes显示文摘A lumped mass approximation scheme of a low order Crouzeix-Raviart type noncon- forming triangular finite element is proposed to a kind of nonlinear parabolic integro-differential equations. The L2 error estimate is derived on anisotropic meshes without referring to the traditional nonclassical elliptic projection. | SHI Dong-yang WANG Hui-min LI Zhi-yan Dept. of Math., Zhengzhou Univ., Zhengzhou 450052, China | 2009 | Applied Mathematics(A Journal of Chinese Universities)2009，24，1： | 6 |
| 19 | STREAMLINE DIFFUSION F.E.M. FOR SOBOLEV EQUATIONS WITH CONVECTION DOMINATED TERM显示文摘In this paper,a streamline diffusion F.E.M. for linear Sobolev equations with convection dominated term is given.According to the range of space time F.E mesh parameter h ,two choices for artifical diffusion parameter δ are presented,and for the corresponding computation schemes the stability and error estimates in suitable norms are estabilished. | Sun Tongjun Now address:Department of Mathematics and Physics, South Campus of Shandong University, Jinan 250061.Dept. of Math., South Campus of Shandong Univ.,Jinan 250061. | 2001 | Applied Mathematics(A Journal of Chinese Universities)2001，16，1： | 5 |
| 20 | CHAOS SYNCHRONIZATION OF MORSE OSCILLATOR VIA BACKSTEPPING DESIGN显示文摘Synchronization and adaptive synchronization of Morse oscillator with periodic forced section is investigated in this paper. Backstepping design is a recursive procedure that combines the choice of Lyapunov function with the design of controller. The proposed approaches offers a syetematic design procedure for synchronization and adaptive synchronization of a large class of continuous-time chaotic systems in the chaos research literature. Simulation results are presented to show the effectiveness of the ... | Zhang Qunli Jia Guanjun (Dept. of Math., Heze University, Heze 274015) | 2006 | Annals of Differential Equations2006，22，3： | 5 |
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