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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. This paper deals with variational optimal-control problems on time scales in the presence of delay in the state variables. The problem is considered on a time scale unifying the discrete, the continuous, and t...

    Authors: Thabet Abdeljawad (Maraaba), Fahd Jarad and Dumitru Baleanu
    Citation: Advances in Difference Equations 2009 2009:840386
  9. By constructing available upper and lower solutions and combining the Schauder's fixed point theorem with maximum principle, this paper establishes sufficient and necessary conditions to guarantee the existenc...

    Authors: Meiqiang Feng, Xuemei Zhang, Xianggui Li and Weigao Ge
    Citation: Advances in Difference Equations 2009 2009:737461
  10. We mainly study the global behavior of the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of per...

    Authors: Dongmei Chen, Xianyi Li and Yanqin Wang
    Citation: Advances in Difference Equations 2009 2009:235691
  11. We consider special basic difference equations which are related to discretizations of Schrödinger equations on time scales with special symmetry properties, namely, so-called basic discrete grids. These grids...

    Authors: Andreas Ruffing, Maria Meiler and Andrea Bruder
    Citation: Advances in Difference Equations 2009 2009:569803
  12. In this paper we study the boundedness, the persistence, the attractivity and the stability of the positive solutions of the nonlinear difference equation http://static-content.springer.com/image/art%3A10.1155%2F2009%2F327649/MediaObjects/13662_2009_Article_1184_IEq2_HTML.gif

    Authors: C. J. Schinas, G. Papaschinopoulos and G. Stefanidou
    Citation: Advances in Difference Equations 2009 2009:327649

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