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  1. The q-analogues of many well known formulas are derived by using several results of q-Bernoulli, q-Euler numbers and polynomials. The q-analogues of ζ-type functions are given by using generating functions of q-B...

    Authors: Daeyeoul Kim and Min-Soo Kim

    Citation: Advances in Difference Equations 2011 2011:68

    Content type: Research

    Published on:

  2. We consider the existence of single and multiple positive solutions for fourth-order Sturm-Liouville boundary value problem in Banach space. The sufficient condition for the existence of single and multiple po...

    Authors: Hua Su, Lishan Liu and Xinjun Wang

    Citation: Advances in Difference Equations 2011 2011:65

    Content type: Research

    Published on:

  3. In this article, the results of theoretical research of the generalized hypercube function by generalizing two known functions referring to the cube hypervolume and hypersurface and the recurrent relation betw...

    Authors: Duško Letić, Nenad Cakić, Branko Davidović, Ivana Berković and Eleonora Desnica

    Citation: Advances in Difference Equations 2011 2011:60

    Content type: Research

    Published on:

  4. This paper develops and exposes the strong relationships that exist between time-domain order-distributions and the Laplace-domain logarithmic operator. The paper presents the fundamental theory of the Laplace...

    Authors: Tom T. Hartley and Carl F. Lorenzo

    Citation: Advances in Difference Equations 2011 2011:59

    Content type: Research

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  5. A new approach for investigating polynomial solutions of differential equations is proposed. It is based on elementary linear algebra. Any differential operator of the form ...

    Authors: H. Azad, A. Laradji and M. T. Mustafa

    Citation: Advances in Difference Equations 2011 2011:58

    Content type: Research

    Published on:

  6. In this paper, we have investigated that initial time difference boundedness criteria and Lagrange stability for fractional order differential equation in Caputo's sense are unified with Lyapunov-like function...

    Authors: Coşkun Yakar, Muhammed Çiçek and Mustafa Bayram Gücen

    Citation: Advances in Difference Equations 2011 2011:54

    Content type: Research

    Published on:

  7. In this paper, we consider the rule of trajectory structure for a kind of second-order rational difference equation. With the change of the initial values, we find the successive lengths of positive and negati...

    Authors: Li Dongsheng, Zou Shuliang and Liao Maoxin

    Citation: Advances in Difference Equations 2011 2011:46

    Content type: Research

    Published on:

  8. A 2m-point boundary value problem for a coupled system of nonlinear fractional differential equations is considered in this article. An existence result is obtained with the use of the coincidence degree theory.

    Authors: Gang Wang, Wenbin Liu, Sinian Zhu and Ting Zheng

    Citation: Advances in Difference Equations 2011 2011:44

    Content type: Research

    Published on:

  9. In this paper, by making use of the coincidence degree theory of Mawhin, the existence of the nontrivial solution for the boundary value problem with Riemann-Stieltjes Δ-integral conditions on time scales at r...

    Authors: Yongkun Li and Jiangye Shu

    Citation: Advances in Difference Equations 2011 2011:42

    Content type: Research

    Published on:

  10. This article addresses the problem of robust pseudo state feedback stabilisation of commensurate fractional order polytopic systems (FOS). In the proposed approach, Linear Matrix Inequalities (LMI) formalism i...

    Authors: Christophe Farges, Jocelyn Sabatier and Mathieu Moze

    Citation: Advances in Difference Equations 2011 2011:35

    Content type: Research

    Published on:

  11. This paper performs a further investigation on the q-Bernoulli polynomials and numbers given by Açikgöz et al. (Adv. Differ. Equ. 2010, 9, Article ID 951764) some incorrect properties are revised. It is pointed o...

    Authors: Seog-Hoon Rim, Abdelmejid Bayad, Eun-Jung Moon, Joung-Hee Jin and Sun-Jung Lee

    Citation: Advances in Difference Equations 2011 2011:34

    Content type: Research

    Published on:

  12. This paper performs a further investigation on the q-Bernoulli numbers and q-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised. It i...

    Authors: Cheon Seoung Ryoo, Taekyun Kim and Byungje Lee

    Citation: Advances in Difference Equations 2011 2011:33

    Content type: Research

    Published on:

  13. In this article, some Gronwall-type integral inequalities with impulses on time scales are investigated. Our results extend some known dynamic inequalities on time scales, unify and extend some continuous ineq...

    Authors: Y Peng, Ying Kang, Mingxiu Yuan, Rongfeng Huang and Liu Yang

    Citation: Advances in Difference Equations 2011 2011:26

    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

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