http://www.hindawi.comThe latest articles from Hindawi Publishing Corporation© 2012, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/aaa/2012/305924/We investigate the existence and dimension of the solution set for a nonlocal problem of semilinear fractional differential inclusions. The main tools of our study include some well-known results on multivalued maps.Ravi P. Agarwal, Bashir Ahmad, Ahmed Alsaedi, and Naseer ShahzadCopyright © 2012 Ravi P. Agarwal et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/749370/This paper presents some efficient spectral algorithms for solving linear sixth-order two-point boundary value problems in one dimension based on the application of the Galerkin method. The proposed algorithms are extended to solve the two-dimensional sixth-order differential equations. A family of symmetric generalized Jacobi polynomials is introduced and used as basic functions. The algorithms lead to linear systems with specially structured matrices that can be efficiently inverted. The various matrix systems resulting from the proposed algorithms are carefully investigated, especially their condition numbers and their complexities. These algorithms are extensions to some of the algorithms proposed by Doha and Abd-Elhameed (2002) and Doha and Bhrawy (2008) for second- and fourth-order elliptic equations, respectively. Three numerical results are presented to demonstrate the efficiency and the applicability of the proposed algorithms.E. H. Doha and W. M. Abd-ElhameedCopyright © 2012 E. H. Doha and W. M. Abd-Elhameed. All rights reserved.http://www.hindawi.com/journals/aaa/2012/832807/The purpose of this paper is to introduce new types of asymptotically (g,φ)-contractions which generalize the Binayak S. Choudhury type contraction on fuzzy metric spaces and prove some fixed-point theorems for single- and multivalued mappings on fuzzy metric spaces. Hence, our results can be viewed as a generalization and improvement of many recent results.S. K. Elagan and Dumitru BaleanuCopyright © 2012 S. K. Elagan and Dumitru Baleanu. All rights reserved.http://www.hindawi.com/journals/aaa/2012/458243/This paper discusses dissipativity problem for system of linear state/input delay equations. Motivated by dissipativity theory of control systems, we choose a new quadratic supply rate. Using the concept of dissipativity, necessary and sufficient conditions for the linear state/input delay systems to be dissipative and exponentially dissipative are derived. The connection of dissipativity with stability is also considered. Finally, passivity and finite gain are explored, correspondingly. The positive-real and bounded-real lemmas are derived.Guifang Cheng, Zhishuai Ding, and Jianyin FangCopyright © 2012 Guifang Cheng et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/157532/We introduce and study the concepts of α-well-posedness and L-α-well-posedness for quasivariational inequality problems having a unique solution and the concepts of α-well-posedness in the generalized sense and L-α-well-posedness in the generalized sense for quasivariational inequality problems having more than one solution. We present some necessary and/or sufficient conditions for the various kinds of well-posedness to occur. Our results generalize and strengthen previously known results for quasivariational inequality problems.Jian Wen Peng and Jing TangCopyright © 2012 Jian Wen Peng and Jing Tang. All rights reserved.http://www.hindawi.com/journals/aaa/2012/248291/We obtain in this paper the solutions of the following recursive sequences xn+1=xnxn−3/xn−2(±1±xnxn−3), n=0,1,…, where the initial conditions are arbitrary real numbers and we study the behaviors of the solutions and we obtained the equilibrium points of the considered equations. Some qualitative behavior of the solutions such as the boundedness, the global stability, and the periodicity character of the solutions in each case have been studied. We presented some numerical examples by giving some numerical values for the initial values and the coefficients of each case. Some figures have been given to explain the behavior of the obtained solutions in the case of numerical examples by using the mathematical program Mathematica to confirm the obtained results.Hamdy El-Metwally and E. M. ElsayedCopyright © 2012 Hamdy El-Metwally and E. M. Elsayed. All rights reserved.http://www.hindawi.com/journals/aaa/2012/417051/We investigate the growth of solutions of higher-order nonhomogeneous linear differential equations with meromorphic coefficients. We also discuss the relationship between small functions and solutions of such equations.Zhigang HuangCopyright © 2012 Zhigang Huang. All rights reserved.http://www.hindawi.com/journals/aaa/2012/768591/We introduce an algorithm for solving the split common fixed point problem for quasi-total asymptotically nonexpansive uniformly Lipschitzian mapping in Hilbert spaces. The results presented in this paper improve and extend some recent corresponding results.Jing Na, Lin Wang, and Zhaoli MaCopyright © 2012 Jing Na et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/137379/By means of the Galerkin method and by using a suitable version of the Brouwer fixed-point theorem, we establish the existence of at least one positive solution of a nonlocal elliptic N-dimensional system coupled with Dirichlet boundary conditions.Alberto Cabada and Francisco Julio S. A. CorrêaCopyright © 2012 Alberto Cabada and Francisco Julio S. A. Corrêa. All rights reserved.http://www.hindawi.com/journals/aaa/2012/971593/We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution, we can find that the method can effectively solve the linear Fredholm integro-differential equation. At the same time the numerical solution of the equation is stable.Xueqin Lv and Yue GaoCopyright © 2012 Xueqin Lv and Yue Gao. All rights reserved.http://www.hindawi.com/journals/aaa/2012/298095/This paper investigates the mean-square exponential synchronization of stochastic complex networks with Markovian switching and time-varying delays by using the pinning control method. The switching parameters are modeled by a continuous-time, finite-state Markov chain, and the complex network is subject to noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient conditions for mean-square exponential synchronization are obtained by using the Lyapunov-Krasovskii functional, Itö’s formula, and the linear matrix inequality (LMI), and numerical examples are given to demonstrate the validity of the theoretical results.Jingyi Wang, Chen Xu, Jianwen Feng, Man Kam Kwong, and Francis AustinCopyright © 2012 Jingyi Wang et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/738346/We introduce a matrix form of differential transformation method (DTM) and apply for nonlinear second-order initial value problems (IVPs) and boundary value problems (BVPs) of matrix models which are given by u″(t)=f(t,u(t),u′(t)) and subject to initial conditions u(a)=u0, u′(a)=u1 and boundary conditions u(a)=u0, u(b)=u1, where u0, u1∈Rr×q. Also the convergence of present method is established. Several illustrative examples are given to demonstrate the effectiveness of the present method.Reza Abazari and Adem KılıcmanCopyright © 2012 Reza Abazari and Adem Kılıcman. All rights reserved.http://www.hindawi.com/journals/aaa/2012/924645/We introduce new integral operators of analytic functions f and g defined in the open unit disk U. For these operators, we discuss some univalence conditions.Laura StanciuCopyright © 2012 Laura Stanciu. All rights reserved.http://www.hindawi.com/journals/aaa/2012/793862/Results on common fixed points of mappings in cone metric spaces under weak contractive conditions (B. S. Choudhury and N. Metiya (2010)) are unified and generalized. Also, cone metric versions of some other related results on weak contractions are proved. Examples show that our results are different than the existing ones.Hui-Sheng Ding, Zoran Kadelburg, Erdal Karapinar, and Stojan RadenovićCopyright © 2012 Hui-Sheng Ding et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/717969/An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral parameter depending on time. In case the initial value of the parameter coincides with some isolated point of the spectrum of compact operator, the conditions of solvability are established.Onur Alp İlhanCopyright © 2012 Onur Alp İlhan. All rights reserved.http://www.hindawi.com/journals/aaa/2012/905871/We establish a new LaSalle's invariance principle and discuss the asymptotic behavior of a class of first-order evolution variational inequalities.Ailing QiCopyright © 2012 Ailing Qi. All rights reserved.http://www.hindawi.com/journals/aaa/2012/864186/This paper studies uniqueness of weak solutions to an electrohydrodynamics model in ℝd (d=2,3). When d=2, we prove a uniqueness without any condition on the velocity. For d=3, we prove a weak-strong uniqueness result with a condition on the vorticity in the homogeneous Besov space.Yong Zhou and Jishan FanCopyright © 2012 Yong Zhou and Jishan Fan. All rights reserved.http://www.hindawi.com/journals/aaa/2012/860921/Recently many mathematicians are working on Genocchi polynomials and Genocchi numbers. We define a new type of twisted q-Genocchi numbers and polynomials with weight α and weak weight β and give some interesting relations of the twisted q-Genocchi numbers and polynomials with weight α and weak weight β. Finally, we find relations between twisted q-Genocchi zeta function and twisted Hurwitz q-Genocchi zeta function.J. Y. Kang, H. Y. Lee, and N. S. JungCopyright © 2012 J. Y. Kang et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/729758/We generalize Jungck's theorem in Jungck (1976) to fuzzy metric spaces and prove common fixed point theorems for commutative mappings in fuzzy metric spaces.Famei Zheng and Xiuguo LianCopyright © 2012 Famei Zheng and Xiuguo Lian. All rights reserved.http://www.hindawi.com/journals/aaa/2012/434308/This paper is concerned with strictly cyclic functionals of operator algebras on Banach spaces. It is shown that if X is a reflexive Banach space and A is a norm-closed semisimple abelian subalgebra of B(X) with a strictly cyclic functional f∈X∗, then A is reflexive and hereditarily reflexive. Moreover, we construct a semisimple abelian operator algebra having a strictly cyclic functional but having no strictly cyclic vectors. The hereditary reflexivity of an algbra of this type can follow from theorems in this paper, but does not follow directly from the known theorems that, if a strictly cyclic operator algebra on Banach spaces is semisimple and abelian, then it is a hereditarily reflexive algebra.Quanyuan Chen and Xiaochun FangCopyright © 2012 Quanyuan Chen and Xiaochun Fang. All rights reserved.http://www.hindawi.com/journals/aaa/2012/324874/We extend the recent results of the coupled fixed point theorems of Cho et al. (2012) by weakening the concept of the mixed monotone property. We also give some examples of a nonlinear contraction mapping, which is not applied to the existence of the coupled fixed point by the results of Cho et al. but can be applied to our results. The main results extend and unify the results of Cho et al. and many results of the coupled fixed point theorems.Wutiphol Sintunavarat, Yeol Je Cho, and Poom KumamCopyright © 2012 Wutiphol Sintunavarat et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/123913/We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity. Finally, the general results are then applied to some particular settings.Saad Ihsan Butt, Mario Krnić, and Josip PečarićCopyright © 2012 Saad Ihsan Butt et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/748981/This paper develops the optimal fault-tolerant guaranteed cost control scheme for a batch process with actuator failures. Based on an equivalent two-dimensional Fornasini-Marchsini (2D-FM) model description of a batch process, the relevant concepts of the fault-tolerant guaranteed cost control are introduced. The robust iterative learning reliable guaranteed cost controller (ILRGCC), which includes a robust extended feedback control for ensuring the performances over time and an iterative learning control (ILC) for improving the tracking performance from cycle to cycle, is formulated such that it cannot only guarantee the closed-loop convergency along both the time and the cycle directions but also satisfy both the H∞ performance level and a cost function having upper bounds for all admissible uncertainties and any actuator failures. Conditions for the existence of the controller are derived in terms of linear matrix inequalities (LMIs), and a design procedure of the controller is presented. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the upper bound of the closed-loop system cost. Finally, an illustrative example of injection molding is given to demonstrate the effectiveness and advantages of the proposed 2D design approach.Limin Wang and Weiwei DongCopyright © 2012 Limin Wang and Weiwei Dong. All rights reserved.http://www.hindawi.com/journals/aaa/2012/674210/We give some identities on the q-Bernoulli and q-Euler numbers by using p-adic integral equations on ℤp.D. S. Kim, T. Kim, J. Choi, and Y. H. KimCopyright © 2012 D. S. Kim et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/691694/The purpose of this paper is to introduce new spaces f̂ and f̂0 that consist of all sequences whose Riesz transforms of order one are in the spaces f and f0, respectively. We also show that f̂ and f̂0 are linearly isomorphic to the spaces f and f0, respectively. The β- and γ-duals of the spaces f̂ and f̂0 are computed. Furthermore, the classes (f̂:μ) and (μ:f̂) of infinite matrices are characterized for any given sequence space μ and determine the necessary and sufficient conditions on a matrix A to satisfy BR-core(Ax)⊆K-core(x), BR-core(Ax)⊆st-core(x) for all x∈l∞.Mehmet Şengönül and Kuddusi KayadumanCopyright © 2012 Mehmet Şengönül and Kuddusi Kayaduman. All rights reserved.http://www.hindawi.com/journals/aaa/2012/948356/Under arbitrary masses, in this paper, we discuss the existence of new families of spatial central configurations for the N + N + 2-body problem, N≥2. We study some necessary conditions and sufficient conditions for a families of spatial double pyramidical central configurations (d.p.c.c.), where 2N bodies are at the vertices of a nested regular N-gons Γ1∪Γ2, and the other two bodies are symmetrically located on the straight line that is perpendicular to the plane that contains Γ1∪Γ2 and passes through the geometric center of Γ1∪Γ2. We prove that if the bodies are in a d.p.c.c., then the masses on each N-gon are equal, and the other two are also equal. And also we prove the existence and uniqueness of the central configurations for any given ratios of masses.Liu Xuefei, Zhang Chuntao, Luo Jianmei, and Zhang GanCopyright © 2012 Liu Xuefei et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/217464/We present a sort of Korovkin-type result that provides a tool to obtain asymptotic formulae for sequences of linear positive operators.Daniel Cárdenas-Morales, Pedro Garrancho, and Ioan RaşaCopyright © 2012 Daniel Cárdenas-Morales et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/392179/Let X and Y be vector spaces. We show that a function f:X→Y with f(0)=0 satisfies Δf(x1,…,xn)=0 for all x1,…,xn∈X, if and only if there exist functions C:X×X×X→Y, B:X×X→Y and A:X→Y such that f(x)=C(x,x,x)+B(x,x)+A(x) for all x∈X, where the function C is symmetric for each fixed one variable and is additive for fixed two variables, B is symmetric bi-additive, A is additive and Δf(x1,…,xn)=∑k=2n(∑i1=2k∑i2=i1+1k+1⋯∑in-k+1=in-k+1n)f(∑i=1,i≠i1,…,in-k+1nxi-∑r=1n-k+1xir)+f(∑i=1nxi)-2n-2∑i=2n(f(x1+xi)+f(x1-xi))+2n-1(n-2)f(x1) (n∈N, n≥3) for all x1,…,xn∈X. Furthermore, we solve the stability problem for a given function f satisfying Δf(x1,…,xn)=0, in the Menger probabilistic normed spaces.M. Eshaghi Gordji, H. Khodaei, Y. W. Lee, and G. H. KimCopyright © 2012 M. Eshaghi Gordji et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/404928/By introducing subdifferentiability of lower semicontinuous convex function φ(x(t),x(t−τ)) and its conjugate function, as well as critical point theory and operator equation theory, we obtain the existence of multiple subharmonic periodic solutions to the following second-order nonlinear nonautonomous neutral nonlinear functional differential equation x″(t)+x″(t−2τ)+f(t,x(t),x(t−τ),x(t−2τ))=0, x(0)=0.Xiao-Bao Shu, Yongzeng Lai, and Fei XuCopyright © 2012 Xiao-Bao Shu et al. All rights reserved.http://www.hindawi.com/journals/aaa/2012/290461/An analytical quadrilateral p element is developed for solving the free vibrations of piezoelectric-laminated plates. The formulations of the displacement and strain fields are based on first-order shear deformation plate theory. The coupling effect between the electrical and stress fields is also considered. The Legendre orthogonal polynomials are used as the element interpolation functions, and the analytical integration technique is adopted. It is found that the present p element method gives high numerical precision results, fast and monotonic convergence rate. In the numerical cases, the effects of the number of hierarchical terms and mesh size on the convergence rate are investigated. Examples of square plates with different displacement and potential boundary conditions are studied. In the comparisons, the solutions of the present element are in good agreement with those obtained from other classical and finite element methods.Y. Y. Lee, A. Y. T. Leung, and B. ZhuCopyright © 2012 Y. Y. Lee et al. All rights reserved.