Abstract and Applied Analysis (ABSTR APPL ANAL)

Publisher: Hindawi Publishing Corporation

Journal description

Abstract and Applied Analysis (AAA) is a mathematical journal devoted exclusively to the publication of high quality research papers in the fields of Abstract and Applied Analysis. Emphasis is placed on important developments in Classical Analysis, Linear and Nonlinear Functional Analysis, Ordinary and Partial Differential Equations, Optimization Theory, and Control Theory. The journal supports the publication of original material involving the complete solution of significant problems in the above disciplines. The journal also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of Analysis.

Current impact factor: 1.27

Impact Factor Rankings

2016 Impact Factor Available summer 2017
2013 Impact Factor 1.274
2012 Impact Factor 1.102
2011 Impact Factor 1.318
2010 Impact Factor 1.442
2009 Impact Factor 2.221
2008 Impact Factor 0.644
2007 Impact Factor 0.163

Impact factor over time

Impact factor
Year

Additional details

5-year impact 1.18
Cited half-life 2.30
Immediacy index 0.35
Eigenfactor 0.00
Article influence 0.36
Website Abstract and Applied Analysis website
Other titles Abstract and applied analysis (Online), Abstract & applied analysis, AAA
ISSN 1085-3375
OCLC 51159195
Material type Document, Periodical, Internet resource
Document type Internet Resource, Computer File, Journal / Magazine / Newspaper

Publisher details

Hindawi Publishing Corporation

  • Pre-print
    • Author can archive a pre-print version
  • Post-print
    • Author can archive a post-print version
  • Conditions
    • Publisher's version/PDF may be used
    • Creative Commons Attribution License
    • Eligible UK authors may deposit in OpenDepot
    • All titles are open access journals
  • Classification
    green

Publications in this journal

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    ABSTRACT: This paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green’s functions, and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden-Fowler equation are shown to illustrate our results.
    No preview · Article · Feb 2016 · Abstract and Applied Analysis
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    ABSTRACT: We discuss the Hankel determinants H 2 ( n ) = a n a n + 2 - a n + 1 2 for typically real functions, that is, analytic functions which satisfy the condition Im ⁡ z Im ⁡ f ( z ) ≥ 0 in the unit disk Δ. Main results are concerned with H 2 ( 2 ) and H 2 ( 3 ) . The sharp upper and lower bounds are given. In general case, for n ≥ 4 , the results are not sharp. Moreover, we present some remarks connected with typically real odd functions.
    No preview · Article · Feb 2016 · Abstract and Applied Analysis
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    ABSTRACT: A criterion was given for a timelike surface to be a Bonnet surface in 3-dimensional Minkowski space by Chen and Li, 1999. In this study, we obtain a necessary and sufficient condition for a timelike tangent developable surface to be a timelike Bonnet surface by the aid of this criterion. This is examined under the condition of the curvature and torsion of the base curve of the timelike developable surface being nonconstant. Moreover, we investigate the nontrivial isometry preserving the mean curvature for a timelike flat helicoidal surface by considering the curvature and torsion of the base curve of the timelike developable surface as being constant.
    Full-text · Article · Feb 2016 · Abstract and Applied Analysis
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    ABSTRACT: In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with respect to generalized pseudodistances. Next, inspired by Abkar and Gabeleh we proved new best proximity point theorem in a quasi-pseudometric space. A best proximity point theorem furnishes sufficient conditions that ascertain the existence of an optimal solution to the problem of globally minimizing the error inf ⁡ { d ( x , y ) : y ∈ T ( x ) } , and hence the existence of a consummate approximate solution to the equation T ( X ) = x .
    Full-text · Article · Jan 2016 · Abstract and Applied Analysis
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    ABSTRACT: By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave solutions and periodic travelling wave solutions. The solitary wave solutions and periodic travelling wave solutions are expressed by the hyperbolic functions and the Jacobian elliptic functions, respectively. The results show that the presented findings improve the related previous conclusions. Furthermore, the numerical simulations of the solitary wave solutions and the periodic travelling wave solutions are given to show the correctness of our results.
    Full-text · Article · Jan 2016 · Abstract and Applied Analysis
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    ABSTRACT: We treat the local hypoellipticity, in the first degree, for a class of abstract differential operators complexes; the ones are given by the following differential operators: L j = ∂ / ∂ t j + ( ∂ ϕ / ∂ t j ) ( t , A ) A , j = 1,2 , … , n , where A : D ( A ) ⊂ H → H is a self-adjoint linear operator, positive with 0 ∈ ρ ( A ) , in a Hilbert space H , and ϕ = ϕ ( t , A ) is a series of nonnegative powers of A - 1 with coefficients in C ∞ ( Ω ) , Ω being an open set of R n , for any n ∈ N , different from what happens in the work of Hounie (1979) who studies the problem only in the case n = 1 . We provide sufficient condition to get the local hypoellipticity for that complex in the elliptic region, using a Lyapunov function and the dynamics properties of solutions of the Cauchy problem t ′ ( s ) = - ∇ R e ϕ 0 ( t ( s ) ) , s ≥ 0 , t ( 0 ) = t 0 ∈ Ω , ϕ 0 : Ω → C being the first coefficient of ϕ ( t , A ) . Besides, to get over the problem out of the elliptic region, that is, in the points t ∗ ∈ Ω such that ∇ R e ϕ 0 ( t ∗ ) = 0, we will use the techniques developed by Bergamasco et al. (1993) for the particular operator A = 1 - Δ : H 2 ( R N ) ⊂ L 2 ( R N ) → L 2 ( R N ) .
    Full-text · Article · Jan 2016 · Abstract and Applied Analysis
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    ABSTRACT: We provide a short and simple proof of an uncertainty principle associated with the quaternion linear canonical transform (QLCT) by considering the fundamental relationship between the QLCT and the quaternion Fourier transform (QFT). We show how this relation allows us to derive the inverse transform and Parseval and Plancherel formulas associated with the QLCT. Some other properties of the QLCT are also studied.
    Full-text · Article · Jan 2016 · Abstract and Applied Analysis
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    ABSTRACT: We have generalized the notion of statistical boundedness by introducing the concept of f -statistical boundedness for scalar sequences where f is an unbounded modulus. It is shown that bounded sequences are precisely those sequences which are f -statistically bounded for every unbounded modulus f . A decomposition theorem for f -statistical convergence for vector valued sequences and a structure theorem for f -statistical boundedness have also been established.
    No preview · Article · Jan 2016 · Abstract and Applied Analysis
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    ABSTRACT: Sequence of q -Bleimann, Butzer, and Hahn operators which is based on a continuously differentiable function τ on R + , with τ 0 = 0 , inf ⁡ τ ' x ≥ 1 , has been considered. Uniform approximation by such a sequence has been studied and degree of approximation by the operators has been obtained. Moreover, shape preserving properties of the sequence of operators have been investigated.
    Full-text · Article · Dec 2015 · Abstract and Applied Analysis
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    ABSTRACT: The variability ordering for more and less variables of fuzzy random variables in terms of its distribution function is defined. A property of new better than used in expectation (NBUE) and new worse than used in expectation (NWUE) is derived as an application to the variability ordering of fuzzy random variables. The concept of generalized variability orderings of nonnegative fuzzy random variables representing lifetime of components is introduced. The < P domination is a generalized variability ordering. We proposed an integral inequality to the case of fuzzy random variables using < P ordering. The results included equivalent conditions which justify the generalized variability orderings.
    Full-text · Article · Dec 2015 · Abstract and Applied Analysis
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    ABSTRACT: This paper is devoted to the study of a wave equation with a boundary condition of many-point type. The existence of weak solutions is proved by using the Galerkin method. Also, the uniqueness and the stability of solutions are established.
    Full-text · Article · Dec 2015 · Abstract and Applied Analysis
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    ABSTRACT: We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. The first existence and uniqueness result is based on Banach’s contraction principle. Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem. An example is given to illustrate the main results.
    Full-text · Article · Dec 2015 · Abstract and Applied Analysis
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    ABSTRACT: Let Ω be a smoothly bounded pseudoconvex domain in C n with one degenerate eigenvalue and assume that there is a smooth holomorphic curve V whose order of contact with b Ω at z 0 ∈ b Ω is larger than or equal to η . We show that the maximal gain in Hölder regularity for solutions of the ∂ ¯ -equation is at most 1 / η .
    No preview · Article · Nov 2015 · Abstract and Applied Analysis
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    ABSTRACT: The concept of “white noise,” initially established in finite-dimensional spaces, is transferred to infinite-dimensional case. The goal of this transition is to develop the theory of stochastic Sobolev type equations and to elaborate applications of practical interest. To reach this goal the Nelson-Gliklikh derivative is introduced and the spaces of “noises” are developed. The Sobolev type equations with relatively sectorial operators are considered in the spaces of differentiable “noises.” The existence and uniqueness of classical solutions are proved. The stochastic Dzektser equation in a bounded domain with homogeneous boundary condition and the weakened Showalter-Sidorov initial condition is considered as an application.
    Full-text · Article · Nov 2015 · Abstract and Applied Analysis