http://www.hindawi.comThe latest articles from Hindawi Publishing Corporation© 2012, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/jam/2012/160891/By employing a well-known fixed point theorem, we establish the existence of multiple positive solutions for the following fourth-order singular differential equation Lu=p(t)f(t,u(t),u′′(t))-g(t,u(t),u′′(t)),0<t<1,α1u(0)-β1u'(0)=0,γ1u(1)+δ1u'(1)=0,α2u′′(0)-β2u′′′(0)=0,γ2u′′(1)+δ2u′′′(1)=0, with αi,βi,γi,δi≥0 and βiγi+αiγi+αiδi>0,    i=1,2, where L denotes the linear operator Lu:=(ru′′′)'-qu′′,r∈C1([0,1],(0,+∞)), and q∈C([0,1],[0,+∞)). This equation is viewed as a perturbation of the fourth-order Sturm-Liouville problem, where the perturbed term g:(0,1)×[0,+∞)×(-∞,+∞)→(-∞,+∞) only satisfies the global Carathéodory conditions, which implies that the perturbed effect of g on f is quite large so that the nonlinearity can tend to negative infinity at some singular points.Yuefeng Han, Xinguang Zhang, Lishan Liu, and Yonghong WuCopyright © 2012 Yuefeng Han et al. All rights reserved.http://www.hindawi.com/journals/jam/2012/841349/By using the coincidence degree theory, we consider the following 2m-point boundary value problem for fractional differential equation D0+αut=ft,ut,D0+α-1ut,D0+α-2ut+et, 0<t<1, I0+3-αut|t=0=0,D0+α-2u1=∑i=1m-2aiD0+α-2uξi,u1=∑i=1m-2biuηi, where 2<α≤3,D0+α and I0+α are the standard Riemann-Liouville fractional derivative and fractional integral, respectively. A new result on the existence of solutions for above fractional boundary value problem is obtained.Gang Wang, Wenbin Liu, Jinyun Yang, Sinian Zhu, and Ting ZhengCopyright © 2012 Gang Wang et al. All rights reserved.http://www.hindawi.com/journals/jam/2012/794719/The present paper deals with a dynamic reaction model of a fishery. The dynamics of a fishery resource system in an aquatic environment consists of two zones: a free fishing zone and a reserve zone. To protect fish population from over exploitation, a control instrument tax is imposed. The existence of its steady states and their stability are studied. The optimal harvest policy is discussed next with the help of Pontryagin's maximum principle. Our theoretical results are confirmed by numerical simulation.Hai-Feng Huo, Hui-Min Jiang, and Xin-You MengCopyright © 2012 Hai-Feng Huo et al. All rights reserved.http://www.hindawi.com/journals/jam/2012/575387/We construct new analytical solutions of the (3+1)-dimensional modified KdV-Zakharov-Kuznetsev equation by the Exp-function method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained by the method. The obtained results show that the Exp-function method is effective and straightforward mathematical tool for searching analytical solutions with arbitrary parameters of higher-dimensional nonlinear partial differential equation.Hasibun Naher, Farah Aini Abdullah, and M. Ali AkbarCopyright © 2012 Hasibun Naher et al. All rights reserved.http://www.hindawi.com/journals/jam/2012/762807/This paper mainly investigates a novel inverse projective synchronization between two different fractional-order hyperchaotic systems, that is, the fractional-order hyperchaotic Lorenz system and the fractional-order hyperchaotic Chen system. By using the stability theory of fractional-order differential equations and Lyapunov equations for fractional-order systems, two kinds of suitable controllers for achieving inverse projective synchronization are designed, in which the generalized synchronization, antisynchronization, and projective synchronization of fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system are also successfully achieved, respectively. Finally, simulations are presented to demonstrate the validity and feasibility of the proposed method.Yi Chai, Liping Chen, and Ranchao WuCopyright © 2012 Yi Chai et al. All rights reserved.http://www.hindawi.com/journals/jam/2012/671548/We consider the one-dimensional steady fin problem with the Dirichlet boundary condition at one end and the Neumann boundary condition at the other. Both the thermal conductivity and the heat transfer coefficient are given as arbitrary functions of temperature. We perform preliminary group classification to determine forms of the arbitrary functions appearing in the considered equation for which the principal Lie algebra is extended. Some invariant solutions are constructed. The effects of thermogeometric fin parameter and the exponent on temperature are studied. Also, the fin efficiency is analyzed.R. J. Moitsheki and M. D. MhlongoCopyright © 2012 R. J. Moitsheki and M. D. Mhlongo. All rights reserved.http://www.hindawi.com/journals/jam/2012/205346/We analyze a differential-algebraic biological economic system with time delay. The model has two different Holling functional responses. By considering time delay as bifurcation parameter, we find that there exists stability switches when delay varies, and the Hopf bifurcation occurs when delay passes through a sequence of critical values. Furthermore, we also consider the stability and direction of the Hopf bifurcation by applying the normal form theory and the center manifold theorem. Finally, using Matlab software, we do some numerical simulations to illustrate the effectiveness of our results.Hongyang Zhang and Chunrui ZhangCopyright © 2012 Hongyang Zhang and Chunrui Zhang. All rights reserved.http://www.hindawi.com/journals/jam/2012/769132/The paper presents a new analytical model to study the evolution of radial cracking around a corroding steel reinforcement bar embedded in concrete. The concrete cover for the corroding rebar is modelled as a thick-walled cylinder subject to axisymmetrical displacement constraint at the internal boundary generated by expansive corrosion products. A bilinear softening curve reflecting realistic concrete property, together with the crack band theory for concrete fracture, is applied to model the residual tensile stress in the cracked concrete. A governing equation for directly solving the crack width in cover concrete is established for the proposed analytical model. Closed-form solutions for crack width are then obtained at various stages during the evolution of cracking in cover concrete. The propagation of crack front with corrosion progress is studied, and the time to cracking on concrete cover surface is predicted. Mechanical parameters of the model including residual tensile strength, reduced tensile stiffness, and radial pressure at the bond interface are investigated during the evolution of cover concrete cracking. Finally, the analytical predictions are examined by comparing with the published experimental data, and mechanical parameters are analysed with the progress of reinforcement corrosion and through the concrete cover.Hua-Peng Chen and Nan XiaoCopyright © 2012 Hua-Peng Chen and Nan Xiao. All rights reserved.http://www.hindawi.com/journals/jam/2012/425867/A class of three-point methods for solving nonlinear equations of eighth order is constructed. These methods are developed by combining two-point Ostrowski's fourth-order methods and a modified Newton's method in the third step, obtained by a suitable approximation of the first derivative using the product of three weight functions. The proposed three-step methods have order eight costing only four function evaluations, which supports the Kung-Traub conjecture on the optimal order of convergence. Two numerical examples for various weight functions are given to demonstrate very fast convergence and high computational efficiency of the proposed multipoint methods.Jovana Džunić and Miodrag S. PetkovićCopyright © 2012 Jovana Džunić and Miodrag S. Petković. All rights reserved.http://www.hindawi.com/journals/jam/2012/971952/This paper deals with an inverse problem for identifying an unknown source which depends only on one variable in two-dimensional Poisson equation, with the aid of an extra measurement at an internal point. Since this problem is illposed, we obtain the regularization solution by the modified regularization method. Furthermore, we obtain the Hölder-type error estimate between the regularization solution and the exact solution. The numerical results show that the proposed method is stable and the unknown source is recovered very well.Xiao-Xiao Li, Heng Zhen Guo, Shi Min Wan, and Fan YangCopyright © 2012 Xiao-Xiao Li et al. All rights reserved.http://www.hindawi.com/journals/jam/2012/357382/We consider the nonlinear dynamical behavior of a three-dimensional recurrent neural network with time delay. By choosing the time delay as a bifurcation parameter, we prove that Hopf bifurcation occurs when the delay passes through a sequence of critical values. Applying the nor- mal form method and center manifold theory, we obtain some local bifurcation results and derive formulas for determining the bifurcation direction and the stability of the bifurcated periodic solution. Some numerical examples are also presented to verify the theoretical analysis.Yingguo LiCopyright © 2012 Yingguo Li. All rights reserved.http://www.hindawi.com/journals/jam/2012/756453/We obtain some new fixed point theorems for ψ-contractive mappings in ordered metric spaces. Our results generalize or improve many recent fixed point theorems in the literature (e.g., Harjani et al., 2011 and 2010).Chi-Ming ChenCopyright © 2012 Chi-Ming Chen. All rights reserved.http://www.hindawi.com/journals/jam/2012/546819/In 1940 and 1964, Ulam proposed the general problem: “When is it true that by changing a little the hypotheses of a theorem one can still assert that the thesis of the theorem remains true or approximately true?”. In 1941, Hyers solved this stability problem for linear mappings. According to Gruber (1978) this kind of stability problems are of the particular interest in probability theory and in the case of functional equations of different types. In 1981, Skof was the first author to solve the Ulam problem for quadratic mappings. In 1982–2011, J. M. Rassias solved the above Ulam problem for linear and nonlinear mappings and established analogous stability problems even on restricted domains. The purpose of this paper is the generalized Hyers-Ulam stability for the following cubic functional equation: f(mx+y)+f(mx-y)=mf(x+y)+mf(x-y)+2(m3-m)f(x),m≥2 in various normed spaces.H. Azadi Kenary, H. Rezaei, S. Talebzadeh, and S. Jin LeeCopyright © 2012 H. Azadi Kenary et al. All rights reserved.http://www.hindawi.com/journals/jam/2012/231416/For submanifolds tangent to the structure vector field in Sasakian space forms, we establish a Chen's basic inequality between the main intrinsic invariants of the submanifold (namely, its pseudosectional curvature and pseudosectional curvature on one side) and the main extrinsic invariant (namely, squared pseudomean curvature on the other side) with respect to the Tanaka-Webster connection. Moreover, involving the pseudo-Ricci curvature and the squared pseudo-mean curvature, we obtain a basic inequality for submanifolds of a Sasakian space form tangent to the structure vector field in terms of the Tanaka-Webster connection.Dae Ho Jin and Jae Won LeeCopyright © 2012 Dae Ho Jin and Jae Won Lee. All rights reserved.http://www.hindawi.com/journals/jam/2012/547865/We investigate the stability problems for the n-dimensional mixed-type additive and quadratic functional equation 2f(∑j=1nxj)+∑1≤i,j≤n,  i≠jf(xi-xj)=(n+1)∑j=1nf(xj)+(n-1)∑j=1nf(-xj) in random normed spaces by applying the fixed point method.Yang-Hi Lee and Soon-Mo JungCopyright © 2012 Yang-Hi Lee and Soon-Mo Jung. All rights reserved.http://www.hindawi.com/journals/jam/2012/635909/Pollard's rho method and its parallelized variant are at present known as the best generic algorithms for computing discrete logarithms. However, when we compute discrete logarithms in cyclic groups of large orders using Pollard's rho method, collision detection is always a high time and space consumer. In this paper, we present a new efficient collision detection algorithm for Pollard's rho method. The new algorithm is more efficient than the previous distinguished point method and can be easily adapted to other applications. However, the new algorithm does not work with the parallelized rho method, but it can be parallelized with Pollard's lambda method. Besides the theoretical analysis, we also compare the performances of the new algorithm with the distinguished point method in experiments with elliptic curve groups. The experiments show that the new algorithm can reduce the expected number of iterations before reaching a match from 1.309G to 1.295G under the same space requirements for the single rho method.Ping Wang and Fangguo ZhangCopyright © 2012 Ping Wang and Fangguo Zhang. All rights reserved.http://www.hindawi.com/journals/jam/2012/123808/The queueing system considered is essentially a M/M/N/N queue where two types of users compete for the N resources. The users may have different arrival and service rates and are denoted as primary or secondary users. The primary users have priority access to the resources, and three levels of priority are considered: perfect priority, partial priority, and no priority. This system models the recently developed cognitive radio concept, a methodology that has been proposed for future mobile radio systems. In this context, the primary users have certain rights to use the resources, whereas the secondary users must make opportunistic use of the resources without impacting too much on the performance of the primary users. For all priority settings, the mean number of primary and secondary users is derived as are the blocking probabilities for both users. When no priority is given to the primary user, the system collapses to a truncated form of two independent M/M/∞ queues. The product form solution for this special case is known, and, here, these results are given in a novel, compact form. In the case of nonzero priority, the dropping probability for the secondary users is also derived.Peter J. Smith, Abdulla Firag, Pawel A. Dmochowski, and Mansoor ShafiCopyright © 2012 Peter J. Smith et al. All rights reserved.http://www.hindawi.com/journals/jam/2012/702603/We are concerned with three-species predator-prey model including two prey-taxes and Holling type II functional response under no flux boundary condition. By applying the contraction mapping principle, the parabolic Schauder estimates, and parabolic Lp estimates, we prove that there exists a unique global classical solution of this system.Chenglin Li and Zhangguo HongCopyright © 2012 Chenglin Li and Zhangguo Hong. All rights reserved.http://www.hindawi.com/journals/jam/2011/340192/This paper proposes an improved predictor-corrector interior-point algorithm for the linear complementarity problem (LCP) based on the Mizuno-Todd-Ye algorithm. The modified corrector steps in our algorithm cannot only draw the iteration point back to a narrower neighborhood of the center path but also reduce the duality gap. It implies that the improved algorithm can converge faster than the MTY algorithm. The iteration complexity of the improved algorithm is proved to obtain O(nL) which is similar to the classical Mizuno-Todd-Ye algorithm. Finally, the numerical experiments show that our algorithm improved the performance of the classical MTY algorithm.Debin Fang and Qian YuCopyright © 2011 Debin Fang and Qian Yu. All rights reserved.http://www.hindawi.com/journals/jam/2011/762762/We obtain sufficient and necessary center conditions for the Poincaré system P(2,2n)(n≤5). The necessity of the condition is derived from the first 2n focal values by symbolic computation with Maple, and the sufficiency is proved by Volokitin's method.Jinya Xu and Zhengyi LuCopyright © 2011 Jinya Xu and Zhengyi Lu. All rights reserved.http://www.hindawi.com/journals/jam/2011/127521/We introduce the notions of the asymptotic SMK-sequence with respect to the stronger Meir-Keeler cone-type mapping ξ:int(P)∪{θ}→[0,1) and the asymptotic WMK-sequence with respect to the weaker Meir-Keeler cone-type mapping ϕ:int(P)∪{θ}→int(P)∪{θ} and prove some common fixed point theorems for these two asymptotic sequences in cone metric spaces with regular cone P. Our results generalize some recent results.Chi-Ming ChenCopyright © 2011 Chi-Ming Chen. All rights reserved.http://www.hindawi.com/journals/jam/2011/712194/This paper processes a unification of Fuzzy TOPSIS and Data Envelopment Analysis (DEA) to select the units with most efficiency. This research is a two-stage model designed to fully rank the organizational alternatives, where each alternative has multiple inputs and outputs. First, the alternative evaluation problem is formulated by Data Envelopment Analysis (DEA) and separately formulates each pair of units. In the second stage, we use the opinion of experts to be applied into a model of group Decision-Making (DM) called the Intuitionistic Fuzzy TOPSIS (IFT) method. The results of both methods are then multiplied to obtain the results. DEA and Intuitionistic Fuzzy TOPSIS ranking do not replace the DEA classification model; rather, it furthers the analysis by providing full ranking in the DEA context for all units by aggregate individual opinions of decision makers for rating the importance of criteria and alternatives.Babak Daneshvar RouyendeghCopyright © 2011 Babak Daneshvar Rouyendegh. All rights reserved.http://www.hindawi.com/journals/jam/2011/327941/We obtain some new fixed point theorems for a (ψ,ϕ)-pair Meir-Keeler-type set-valued contraction map in metric spaces. Our main results generalize and improve the results of Klim and Wardowski, (2007).Chi-Ming ChenCopyright © 2011 Chi-Ming Chen. All rights reserved.http://www.hindawi.com/journals/jam/2011/658282/The piecewise algebraic curve, as the set of zeros of a bivariate spline function, is a generalization of the classical algebraic curve. In this paper, an algorithm is presented to compute the real solutions of two piecewise algebraic curves. It is primarily based on the Krawczyk-Moore iterative algorithm and good initial iterative interval searching algorithm. The proposed algorithm is relatively easy to implement.Jinming Wu and Xiaolei ZhangCopyright © 2011 Jinming Wu and Xiaolei Zhang. All rights reserved.http://www.hindawi.com/journals/jam/2011/675484/A new construction of authentication codes with arbitration and multireceiver from singular symplectic geometry over finite fields is given. The parameters are computed. Assuming that the encoding rules are chosen according to a uniform probability distribution, the probabilities of success for different types of deception are also computed.You Gao and Huafeng YuCopyright © 2011 You Gao and Huafeng Yu. All rights reserved.http://www.hindawi.com/journals/jam/2011/842805/The objective of this study is to present a brief survey on the geometrically nonlinear free vibrations of the Bernoulli-Euler, the Rayleigh, shear, and the Timoshenko beams with simple end conditions using the Homotopy Analysis Method (HAM). Expressions for the natural frequencies, the transverse deflection, postbuckling load-deflection relation to, and critical buckling load are presented. The results of nonlinear analysis are validated with the published results, and excellent agreement is observed. The effects of some parameters, such as slender ratio, the rotary inertia, and the shear deformation, are examined as other parameters are fixed.R. A. Jafari-Talookolaei, M. H. Kargarnovin, M. T. Ahmadian, and M. AbediCopyright © 2011 R. A. Jafari-Talookolaei et al. All rights reserved.http://www.hindawi.com/journals/jam/2011/951960/We study the heat equation in n dimensional by Diamond Bessel operator. We find the solution by method of convolution and Fourier transform in distribution theory and also obtain an interesting kernel related to the spectrum and the kernel which is called Bessel heat kernel.Wanchak SatsanitCopyright © 2011 Wanchak Satsanit. All rights reserved.http://www.hindawi.com/journals/jam/2011/715087/We have presented a derivation of the asymptotic equations for transverse magnetic multiple scattering coefficients of an infinite grating of penetrable circular cylinders for obliquely incident plane electromagnetic waves. We have first deducted an “Ansatz” delineating the asymptotic behavior of the transverse magnetic multiple scattering coefficients associated with the most generalized condition of oblique incidence (Kavaklıoğlu, 2000) by exploiting Schlömilch series corresponding to the special circumstance that the grating spacing is much smaller than the wavelength of the incident electromagnetic radiation. The validity of the asymptotic equations for the aforementioned scattering coefficients has been verified by collating them with the Twersky's asymptotic equations at normal incidence. Besides, we have deduced the consequences that the asymptotic forms of the equations at oblique incidence acquired in this paper reduce to Twersky's asymptotic forms at normal incidence by expanding the generalized scattering coefficients at oblique incidence into an asymptotic series as a function of the ratio of the cylinder radius to the grating spacing.Ömer Kavaklıoğlu and Roger Henry LangCopyright © 2011 Ömer Kavaklıoğlu and Roger Henry Lang. All rights reserved.http://www.hindawi.com/journals/jam/2011/712704/We consider flows on a spherical surface and use a transformation to transport some well-known periodic two-dimensional vortex streets to that spherical surface to arrive at some new expressions for vortex streets on a sphere.Ghada Alobaidi and Roland MallierCopyright © 2011 Ghada Alobaidi and Roland Mallier. All rights reserved.http://www.hindawi.com/journals/jam/2011/832630/We present an explicit formula which unifies the mask of (2n-1)-point ternary interpolating as well as approximating subdivision schemes. We observe that the odd point ternary interpolating and approximating schemes introduced by Lian (2009), Siddiqi and Rehan (2010, 2009) and Hassan and Dodgson (2003) are special cases of our proposed masks/schemes. Moreover, schemes introduced by Zheng et al. (2009) can easily be generated by our proposed masks. It is also proved from comparison that (2n-1)-point schemes are better than 2n-scheme in the sense of computational cost, support and error bounds.Muhammad Aslam, Ghulam Mustafa, and Abdul GhaffarCopyright © 2011 Muhammad Aslam et al. All rights reserved.