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Nonlinear Integrodifferential Difference Equations and Related Topics

  1. We firstly show the permanence of hybrid prey-predator system. Then, when both white and color noises are taken into account, we examine the asymptotic properties of stochastic prey-predator model with Markovi...

    Authors: Jingliang Lv and Ke Wang
    Citation: Advances in Difference Equations 2011 2011:312465
  2. We establish a composition theorem of Stepanov almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained. In addition, we apply our comp...

    Authors: Wei Long and Hui-Sheng Ding
    Citation: Advances in Difference Equations 2011 2011:654695
  3. The model of pricing American-style convertible bond is formulated as a zero-sum Dynkin game, which can be transformed into a parabolic variational inequality (PVI). The fundamental variable in this model is t...

    Authors: Huiwen Yan and Fahuai Yi
    Citation: Advances in Difference Equations 2011 2011:309678
  4. By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem http://static-content.springer.com/image/art%3A10.1155%2F2011%2F894135/MediaObjects/13662_2010_Article_77_IEq1_HTML.gif ...

    Authors: Jin Liang and Zhi-Wei Lv
    Citation: Advances in Difference Equations 2011 2011:894135
  5. An easy proof of the John-Nirenberg inequality is provided by merely using the Calderón-Zygmund decomposition. Moreover, an interpolation inequality is presented with the help of the John-Nirenberg inequality.

    Authors: Jiu-Gang Dong and Ti-Jun Xiao
    Citation: Advances in Difference Equations 2010 2011:913403
  6. Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact measures and the fixed...

    Authors: Jin Liang and Zhenbin Fan
    Citation: Advances in Difference Equations 2010 2011:784161