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  1. In this paper, we investigate many types of stability, like uniform stability, asymptotic stability, uniform asymptotic stability, global stability, global asymptotic stability, exponential stability, uniform ...

    Authors: Alaa E Hamza and Karima M Oraby

    Citation: Advances in Difference Equations 2012 2012:143

    Content type: Research

    Published on:

  2. Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect...

    Authors: Fahd Jarad, Thabet Abdeljawad and Dumitru Baleanu

    Citation: Advances in Difference Equations 2012 2012:142

    Content type: Research

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  3. In this paper, we study a nonlinear fractional q-difference equation with nonlocal boundary conditions. The existence of solutions for the problem is shown by applying some well-known tools of fixed-point theory ...

    Authors: Bashir Ahmad, Sotiris K Ntouyas and Ioannis K Purnaras

    Citation: Advances in Difference Equations 2012 2012:140

    Content type: Research

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  4. In the current paper, we study the stability and the superstability of ∗-derivations associated with the Cauchy functional equation and the Jensen functional equation. We also prove the stability and the super...

    Authors: Choonkil Park and Abasalt Bodaghi

    Citation: Advances in Difference Equations 2012 2012:138

    Content type: Research

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  5. In this paper, we establish functional equations of ∗-derivations and prove the stability of ∗-derivations on fuzzy Banach ∗-algebras. We also prove the superstability of ∗-derivations on fuzzy Banach ∗-algebras.

    Authors: Sun Young Jang

    Citation: Advances in Difference Equations 2012 2012:132

    Content type: Research

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  6. Using fixed point method, we establish the Hyers-Ulam stability of m-Lie homomorphisms and Jordan m-Lie homomorphisms in m-Lie algebras associated to the following generalized Jensen functional equation

    Authors: Hassan Azadi Kenary, Hamid Rezaei, Madjid Eshaghi Gordji, Choonkil Park and Sang Og Kim

    Citation: Advances in Difference Equations 2012 2012:125

    Content type: Research

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  7. In this paper, we study the existence of positive solutions for a singular second order impulsive differential equations with Stieltjes integral boundary conditions. By means of fixed point theorems, some resu...

    Authors: Jiqiang Jiang, Lishan Liu and Yonghong Wu

    Citation: Advances in Difference Equations 2012 2012:124

    Content type: Research

    Published on:

  8. This paper presents the q-analogue of Toda lattice system of difference equations by discussing the q-discretization in three aspects: differential-q-difference, q-difference-q-difference and q-differential-q-dif...

    Authors: Burcu Silindir

    Citation: Advances in Difference Equations 2012 2012:121

    Content type: Research

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  9. In this paper we prove the generalized Hyers-Ulam stability of the system defining general Euler-Lagrange quadratic mappings in non-Archimedean fuzzy normed spaces over a field with valuation using the direct ...

    Authors: Tian Zhou Xu and John Michael Rassias

    Citation: Advances in Difference Equations 2012 2012:119

    Content type: Research

    Published on:

  10. In this paper, we study the existence, uniqueness and approximate solutions of fuzzy fractional differential equations (FFDEs) under Caputo’s H-differentiability. To this end, the concept of Riemann-Liouville’...

    Authors: S Salahshour, T Allahviranloo, S Abbasbandy and D Baleanu

    Citation: Advances in Difference Equations 2012 2012:112

    Content type: Research

    Published on:

  11. We establish some new dynamic Opial-type diamond alpha inequalities in time scales. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequal...

    Authors: Nuriye Atasever, Billûr Kaymakçalan, Goran Lešaja and Kenan Taş

    Citation: Advances in Difference Equations 2012 2012:109

    Content type: Research

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  12. This article addresses the robust stability for a class of nonlinear uncertain discrete-time systems with convex polytopic of uncertainties. The system to be considered is subject to both interval time-varying...

    Authors: M Rajchakit and G Rajchakit

    Citation: Advances in Difference Equations 2012 2012:106

    Content type: Research

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  13. We establish the Rofe-Beketov formula for symplectic systems on time scales. This result generalizes the well-known d’Alembert formula (or the Reduction of Order Theorem) and the Rofe-Beketov formula published...

    Authors: Petr Zemánek

    Citation: Advances in Difference Equations 2012 2012:104

    Content type: Research

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  14. In this article, we establish the new result on homoclinic orbits for a class of damped vibration systems. Some recent results in the literature are generalized and significantly improved.

    Authors: Juntao Sun, Juan J Nieto and Mario Otero-Novoa

    Citation: Advances in Difference Equations 2012 2012:102

    Content type: Research

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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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