Showing papers in "Acta Mathematica Scientia in 2014"

TL;DR: In this article, the authors introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of sets of Lacunary Statistical Convergence of Order α and strong Nθα(p)-summability.

TL;DR: In this article, a spectral Jacobi-collocation approximation for fractional order integro-differential equations of Volterra type is proposed and analyzed, which shows that the errors of the approximate solution decay exponentially in L ∞ norm and weighted L 2 -norm.

TL;DR: In this article, the duals of the space f( e B) are determined and inclusion theorems concerning with the spaces f0( e b) and f(e B) of the double sequential band matrix e B(e e s) are given.

TL;DR: In this paper, the double inequality holds for any a, b > 0 with a ≠ b if and only if α ≥ 1/2 and β ≤ [ π ( 2 log ( 1 + 2 ) − 1 ) ] / [ ( 2 π − 2 ) log( 1+ 2 ) ] = 03595.

TL;DR: In this article, the authors considered a branching random walk with a random environment in time, in which the offspring distribution of a particle of generation n and the distribution of the displacements of its children depend on an environment indexed by the time n. The environment is supposed to be independent and identically distributed.

TL;DR: In this article, the authors obtained fixed point and common fixed point theorems for self-mappings defined on a metric-type space, an ordered metric type space or a normal cone metric space.

TL;DR: In this article, the existence of positive solutions of a singular quasilinear elliptic system for which the cooperative structure is not required is investigated, based on the Schauder fixed point theorem combined with perturbation arguments that involve the singular terms.

TL;DR: Aghajani et al. as discussed by the authors proved a common fixed point theorem for three mappings in G b -metric space which is not continuous. But this theorem is not applicable to generalized weak contractive mappings.

TL;DR: The main aim of as discussed by the authors is to find necessary and sufficient conditions for the convergence of Walsh-Kaczmarz-Fejer means in terms of the modulus of continuity on the Hardy spaces H p, when 0 p ≤ 1/2.

TL;DR: In this article, the bounds of the coefficients of several classes of bi-univalent functions are investigated and the results presented in this paper improve or generalize the recent works of other authors.

TL;DR: In this paper, the authors derived third-order differential subordination results for analytic functions in the open unit disk, using the operator B κ c f by means of normalized form of the generalized Bessel functions of the first kind.

TL;DR: In this article, the concept of demicompactness with respect to a closed densely defined linear operator is introduced, and the relative Schechter's and approximate essential spectrum is characterized.

TL;DR: In this article, the authors use the Fokas method to analyze the derivative nonlinear Schrodinger (DNLS) equation and show that it can be represented in terms of a matrix Riemann-Hilbert problem formulated in the plane of the complex spectral parameter ξ.

TL;DR: In this article, a new model selection criterion, based on the assumption that noise term in the model is independent with explanatory variables, of minimizing the association strength between regression residuals and the response, with fewer assumptions.

TL;DR: In this article, approximate duality for g-frames was introduced and shown to be stable under small perturbations and they are useful for erasure and reconstruction. But they are not suitable for reconstruction.

TL;DR: In this paper, the authors proposed a bounded confidence opinion model for a group of agents with two different confidence levels, where each agent in the population is endowed with a confidence interval around her opinion with radius αd or (1-α)d, where α ∈ (0, 1/2] represents the differentiation of confidence levels.

TL;DR: In this article, the authors studied the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilinear differential equations under sufficient condition.

TL;DR: In this paper, the authors considered the solvability of a boundary value problem for a nonhomogeneous biharmonic equation, where the boundary data is determined by a differential operator of fractional order in the Riemann-Liouville sense.

TL;DR: The notion of partial G-metric spaces was introduced by Paesano and Vetro as discussed by the authors, who proved a fixed point result for a self-mapping on a partial metric space that characterizes the partial metric 0-completeness.

TL;DR: In this article, the atomic decomposition of the μ-Bergman space in the unit ball B is given for all p > 0, where p is the number of particles in the ball.

TL;DR: The empirical evidence suggests that the proposed approach to a membrane algorithm is efficient and reliable when dealing with 11 benchmark instances, particularly obtaining the best of the known solutions in eight instances.

TL;DR: In this paper, the authors developed exponential stability of the analytic solution and convergence in probability of the numerical method for highly nonlinear hybrid stochastic pantograph equation, under which there exists a unique global solution and the solution is almost surely exponentially stable.

TL;DR: In this paper, a stochastic logistic model with delays and impulsive perturbation is proposed and investigated, and sufficient conditions for extinction are established as well as nonpersistence in the mean, weak persistence and stochastically permanence.

TL;DR: The Chinese Remainder Theorem is used to establish the algebraic structure of cyclic and negacyclic codes of length 2ps over the ring R = pm+ u pm in terms of polynomial generators and the number of codewords in each of those cycles.

TL;DR: New sufficient conditions for the infected equilibrium of a nonresident computer virus model to be globally asymptotically stable are established.

TL;DR: In this paper, the S -left and S -right essential spectra of a linear operator were defined and the stability of the S-essential spectra on a Banach space was studied.

TL;DR: In this paper, the authors extend the notion of essential ascent and descent for an operator acting on a vector space to linear relations acting on Banach spaces and show that the corresponding spectrum satisfy the polynomial version of the spectral mapping theorem.

TL;DR: In this paper, the authors prove a decomposition theorem for I 2 -convergent double sequences and introduce the notions of I 2 −Cauchy and I * 2 -cauchy double sequence, and then study their properties.

TL;DR: In this paper, the generalized Tikhonov regularization method is proposed to solve the problem of space-dependent source for a fractional diffusion equation and an a priori error estimate between the exact solution and its regularized approximation is obtained.

TL;DR: In this article, the additive maps (generalized) (α, β)-derivable at zero point on several nest algebras, are characterized, and it is shown that δ is an additive generalized (α-β)-derivation.