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  1. In this paper, we present a unified framework for analyzing the spectral collocation method for neutral functional-differential equations with proportional delays using shifted Legendre polynomials. The propos...

    Authors: Ali H Bhrawy, Laila M Assas, Emran Tohidi and Mohammed A Alghamdi

    Citation: Advances in Difference Equations 2013 2013:63

    Content type: Research

    Published on:

  2. Recently, Tremblay, Gaboury and Fugère introduced a class of the generalized Bernoulli polynomials (see Tremblay in Appl. Math. Let. 24:1888-1893, 2011). In this paper, we introduce and investigate an extensio...

    Authors: Si Chen, Yi Cai and Qiu-Ming Luo

    Citation: Advances in Difference Equations 2013 2013:61

    Content type: Research

    Published on:

  3. This paper is concerned with chaotification of linear delay difference equations via the feedback control technique. The controlled system is first reformulated into a linear discrete dynamical system. Then, a...

    Authors: Zongcheng Li

    Citation: Advances in Difference Equations 2013 2013:59

    Content type: Research

    Published on:

  4. Some new results are presented for the oscillatory and asymptotic behavior of higher-order half-linear differential equations with a noncanonical operator. We study the delayed and advanced equations subject t...

    Authors: Chenghui Zhang, Ravi P Agarwal, Martin Bohner and Tongxing Li

    Citation: Advances in Difference Equations 2013 2013:54

    Content type: Research

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  5. In this article, we study a boundary value problem of a coupled system of nonlinear Riemann-Liouville type fractional differential equations with fractional boundary conditions on the half-line. An appropriate...

    Authors: Yuji Liu, Bashir Ahmad and Ravi P Agarwal

    Citation: Advances in Difference Equations 2013 2013:46

    Content type: Research Article

    Published on:

  6. The employment of the fuzzy method to solve differential equations has been well studied. In this article, Mathieu differential equations of the quadrupole mass filter (QMF) have been solved by using the fuzzy...

    Authors: Sarkhosh Seddighi Chaharborj, Fudziah Ismail, Fakhreddin Abedi and Mahendran Shitan

    Citation: Advances in Difference Equations 2013 2013:45

    Content type: Research

    Published on:

  7. This paper studies the problem for exponential stability of switched recurrent neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interval, but not n...

    Authors: Manlika Rajchakit, Piyapong Niamsup and Grienggrai Rajchakit

    Citation: Advances in Difference Equations 2013 2013:44

    Content type: Research

    Published on:

  8. In this article, we establish sufficient conditions for the existence, uniqueness and stability of solutions for nonlinear fractional differential equations with delays and integral boundary conditions.

    Authors: Zhenghui Gao, Liu Yang and Zhenguo Luo

    Citation: Advances in Difference Equations 2013 2013:43

    Content type: Research

    Published on:

  9. The aim of this paper is to construct q-Dirichlet type L-functions with weight α. We give the values of these functions at negative integers. These values are related to the generalized q-Bernoulli numbers with w...

    Authors: Hacer Ozden

    Citation: Advances in Difference Equations 2013 2013:40

    Content type: Research

    Published on:

  10. The switching signal design for global exponential stability of discrete switched systems with interval time-varying delay and linear fractional perturbations is considered in this paper. Some LMI stability cr...

    Authors: Chang-Hua Lien, Ker-Wei Yu, Jenq-Der Chen and Long-Yeu Chung

    Citation: Advances in Difference Equations 2013 2013:39

    Content type: Research

    Published on:

  11. A stochastic mutualism model is proposed and investigated in this paper. We show that there is a unique solution to the model for any positive initial value. Moreover, we show that the solution is stochastical...

    Authors: Hong Qiu, Jingliang Lv and Ke Wang

    Citation: Advances in Difference Equations 2013 2013:37

    Content type: Research

    Published on:

  12. The aim of this paper is to prove multiplication formulas of the normalized polynomials by using the umbral algebra and umbral calculus methods. Our polynomials are related to the Hermite-type polynomials.

    Authors: Rahime Dere and Yilmaz Simsek

    Citation: Advances in Difference Equations 2013 2013:31

    Content type: Research

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  13. In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion...

    Authors: Hee Sik Kim, J Neggers and Keum Sook So

    Citation: Advances in Difference Equations 2013 2013:26

    Content type: Research

    Published on:

  14. In this paper, fault detection and estimation problem is studied for non-Gaussian stochastic systems with time varying delay. A new approach based on the output probability density function (PDF) and observers...

    Authors: Kai Hu, AiGuo Song, WeiLiang Wang, Yingchao Zhang and Zhiyong Fan

    Citation: Advances in Difference Equations 2013 2013:22

    Content type: Research

    Published on:

  15. The non-classical calculi such as q-calculus, fractional calculus and q-fractional calculus have been hot topics in both applied and pure sciences. Then some new linear and nonlinear models have appeared. This st...

    Authors: Guo-Cheng Wu and Dumitru Baleanu

    Citation: Advances in Difference Equations 2013 2013:21

    Content type: Research

    Published on:

  16. In this study, we consider some power series with rational coefficients and investigate transcendence of the values of these series for Liouville number arguments. It is proved that these values are either a L...

    Authors: Gül Karadeniz Gözeri, Ayten Pekin and Adem Kılıçman

    Citation: Advances in Difference Equations 2013 2013:17

    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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