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  1. This article studies the existence of solutions for a three-point inclusion problem of Langevin equation with two fractional orders. Our main tools of study include a nonlinear alternative of Leray-Schauder ty...

    Authors: Bashir Ahmad, Juan J Nieto and Ahmed Alsaedi

    Citation: Advances in Difference Equations 2012 2012:54

    Content type: Research Article

    Published on:

  2. This article studies a new criterion for the induced l stability of fixed-point state-space digital filters without overflow oscillations and instability due to finite word length effects. The criterion not only...

    Authors: Choon Ki Ahn and Young Sam Lee

    Citation: Advances in Difference Equations 2012 2012:51

    Content type: Research

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  3. This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means of ...

    Authors: Hongxia Fan and Jia Mu

    Citation: Advances in Difference Equations 2012 2012:49

    Content type: Research

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  4. In this article, we investigate oscillation and asymptotic properties for 3D systems of dynamic equations. We show the role of nonlinearities and we apply our results to the adjoint dynamic systems.

    Authors: Elvan Akin-Bohner, Zuzana Došlá and Bonita Lawrence

    Citation: Advances in Difference Equations 2012 2012:46

    Content type: Research

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  5. In this article, we first aim to give simple proofs of known formulae for the generalized Carlitz q-Bernoulli polynomials βm,χ(x, q) in the p-adic case by means of a method provided by Kim and then to derive a co...

    Authors: Daeyeoul Kim and Min-Soo Kim

    Citation: Advances in Difference Equations 2012 2012:44

    Content type: Research

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  6. Using fixed point method, we prove the fuzzy version of the Hyers-Ulam stability of n-Jordan *-homomorphisms in induced fuzzy C*-algebras associated with the following functional equation

    Authors: Choonkil Park, Shahram Ghaffary Ghaleh, Khatereh Ghasemi and Sun Young Jang

    Citation: Advances in Difference Equations 2012 2012:42

    Content type: Research

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  7. We are concerned with the existence of mild solutions to the Cauchy problem for fractional evolution equations of neutral type with almost sectorial operators

    Authors: Jin Liang, Sheng-Hua Yan, Fang Li and Ting-Wen Huang

    Citation: Advances in Difference Equations 2012 2012:40

    Content type: Research

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    The Erratum to this article has been published in Advances in Difference Equations 2015 2015:262

  8. In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the following equations: second-order linear differ...

    Authors: Mohammad Bagher Ghaemi, Madjid Eshaghi Gordji, Badrkhan Alizadeh and Choonkil Park

    Citation: Advances in Difference Equations 2012 2012:36

    Content type: Research

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  9. As the foundation of double integral, we propose a triangular integral, which is an antisymmetric double integral by single limit of double dependent sums of triangularly divided areas. Extending integrand fro...

    Authors: Kiyohisa Tokunaga

    Citation: Advances in Difference Equations 2012 2012:23

    Content type: Research

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  10. In this paper, we present the theoretical research results of certain characteristics of the generalized hyperspherical function with two degrees of freedom as independent dimensions. Here, we primarily give t...

    Authors: Dusko Letic, Nenad Cakic, Branko Davidovic and Ivana Berkovic

    Citation: Advances in Difference Equations 2012 2012:22

    Content type: Research

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  11. In this article, we introduce some properties of higher-order-twisted q-Euler numbers and polynomials with weight α, and we observe some properties of higher-order-twisted q-Euler numbers and polynomials with wei...

    Authors: Hui Young Lee, Nam Soon Jung, Jung Yoog Kang and Cheon Seoung Ryoo

    Citation: Advances in Difference Equations 2012 2012:21

    Content type: Research

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  12. In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way. Thus, it becomes a q...

    Authors: Jeong Soon Han, Hee Sik Kim and Joseph Neggers

    Citation: Advances in Difference Equations 2012 2012:19

    Content type: Research

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  13. We investigate the discretisation of the linear parabolic equation du/dt = A(t)u + f(t) in abstract spaces, making use of both the implicit and the explicit finite-difference schemes. The stability of the explici...

    Authors: Fernando F Gonçalves, Maria do Rosário Grossinho and Eva Morais

    Citation: Advances in Difference Equations 2012 2012:14

    Content type: Research

    Published on:

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Editors-in-Chief

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications