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  1. This paper summarizes a series of results on the oscillation of impulsive ordinary differential equations. We consider linear, half-linear, super-half-linear, and nonlinear equations. Several oscillation crite...

    Authors: RaviP Agarwal, Fatma Karakoç and Ağacık Zafer

    Citation: Advances in Difference Equations 2010 2010:354841

    Content type: Review Article

    Published on:

  2. This work presents sufficient conditions for the existence and uniqueness of positive solutions for a discrete fourth-order beam equation under Lidstone boundary conditions with a parameter; the iterative sequ...

    Authors: Yanbin Sang, Zhongli Wei and Wei Dong

    Citation: Advances in Difference Equations 2010 2010:971540

    Content type: Research Article

    Published on:

  3. We give a new construction of the http://static-content.springer.com/image/art%3A10.1155%2F2010%2F431436/MediaObjects/13662_2010_Article_1288_IEq2_HTML.gif -extensions of Euler numbers and polynomials. We present new generating functions which are related to...

    Authors: Taekyun Kim, Lee-Chae Jang, Young-Hee Kim and Seog-Hoon Rim

    Citation: Advances in Difference Equations 2010 2010:431436

    Content type: Research Article

    Published on:

  4. We consider the rate of convergence to equilibrium of Volterra integrodifferential equations with infinite memory. We show that if the kernel of Volterra operator is regularly varying at infinity, and the init...

    Authors: John A. D. Appleby

    Citation: Advances in Difference Equations 2010 2010:478291

    Content type: Research Article

    Published on:

  5. We investigate the effect of constant and periodic harvesting on the Beverton-Holt model in a periodically fluctuating environment. We show that in a periodically fluctuating environment, periodic harvesting g...

    Authors: Ziyad AlSharawi and Mohamed Ben Haj Rhouma

    Citation: Advances in Difference Equations 2010 2010:215875

    Content type: Research Article

    Published on:

  6. A nonautonomous SIR epidemic model with age structure is studied. Using integro-differential equation and a fixed point theorem, we prove the existence and uniqueness of a positive solution to this model. We c...

    Authors: Junyuan Yang and Xiaoyan Wang

    Citation: Advances in Difference Equations 2010 2010:212858

    Content type: Research Article

    Published on:

  7. We consider the propagator of an evolution equation, which is a semigroup of linear operators. Questions related to its operator norm function and its behavior at the critical point for norm continuity or compact...

    Authors: Yu Lin, Ti-Jun Xiao and Jin Liang

    Citation: Advances in Difference Equations 2010 2010:795484

    Content type: Research Article

    Published on:

  8. A new existence and uniqueness theorem is given for solutions to differential equations involving the Caputo fractional derivative with nonlocal initial condition in Banach spaces. An application is also given.

    Authors: Zhi-Wei Lv, Jin Liang and Ti-Jun Xiao

    Citation: Advances in Difference Equations 2010 2010:340349

    Content type: Research Article

    Published on:

  9. Systems are considered related to the control of processes described by oscillating second-order systems of differential equations with a single delay. An explicit representation of solutions with the aid of s...

    Authors: J Diblík, DYa Khusainov, J Lukáčová and M Růžičková

    Citation: Advances in Difference Equations 2010 2010:108218

    Content type: Research Article

    Published on:

  10. In this paper, we consider the additive-cubic-quartic functional equation http://static-content.springer.com/image/art%3A10.1155%2F2009%2F395693/MediaObjects/13662_2009_Article_1192_IEq1_HTML.gif and prove the generalized Hyers-Ulam stability of the additive-cubic-...

    Authors: M. Eshaghi-Gordji, S. Kaboli-Gharetapeh, Choonkil Park and Somayyeh Zolfaghari

    Citation: Advances in Difference Equations 2010 2009:395693

    Content type: Research Article

    Published on:

  11. Delay discrete inequalities with more than one nonlinear term are discussed, which generalize some known results and can be used in the analysis of various problems in the theory of certain classes of discrete...

    Authors: Yu Wu, Xiaopei Li and Shengfu Deng

    Citation: Advances in Difference Equations 2010 2010:795145

    Content type: Research Article

    Published on:

  12. By using a multiple fixed point theorem (Avery-Peterson fixed point theorem) for cones, some criteria are established for the existence of three positive periodic solutions for a class of higher-dimensional fu...

    Authors: Yongkun Li and Meng Hu

    Citation: Advances in Difference Equations 2009 2009:698463

    Content type: Research Article

    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

Interim Editor-in-Chief

New Content ItemSong Wang, Curtin University, Australia | 

Song Wang's SpringerNature Publications

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