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Nonlinear Integrodifferential Difference Equations and Related Topics

  1. Research Article

    Optimal Harvest of a Stochastic Predator-Prey Model

    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...

    Jingliang Lv and Ke Wang

    Advances in Difference Equations 2011 2011:312465

    Published on: 17 March 2011

  2. Research Article

    On a Nonlinear Integral Equation with Contractive Perturbation

    We get an existence result for solutions to a nonlinear integral equation with contractive perturbation by means of Krasnoselskii's fixed point theorem and especially the theory of measure of weak noncompactness.

    Huan Zhu

    Advances in Difference Equations 2011 2011:154742

    Published on: 13 March 2011

  3. Research Article

    A Variational Inequality from Pricing Convertible Bond

    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...

    Huiwen Yan and Fahuai Yi

    Advances in Difference Equations 2011 2011:309678

    Published on: 10 March 2011

  4. Research Article

    Solution to a Function Equation and Divergence Measures

    We investigate the solution to the following function equation , which arises from the theory of divergence measures. Moreover, new resu...

    Chuan-Lei Dong and Jin Liang

    Advances in Difference Equations 2011 2011:617564

    Published on: 10 March 2011

  5. Research Article

    Solutions to a Three-Point Boundary Value Problem

    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 ...

    Jin Liang and Zhi-Wei Lv

    Advances in Difference Equations 2011 2011:894135

    Published on: 9 February 2011

  6. Research Article

    Exponential Stability of Two Coupled Second-Order Evolution Equations

    By using the multiplier technique, we prove that the energy of a system of two coupled second order evolution equations (one is an integro-differential equation) decays exponentially if the convolution kernel

    Qian Wan and Ti-Jun Xiao

    Advances in Difference Equations 2010 2011:879649

    Published on: 2 December 2010

  7. Research Article

    Notes on Interpolation Inequalities

    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.

    Jiu-Gang Dong and Ti-Jun Xiao

    Advances in Difference Equations 2010 2011:913403

    Published on: 1 December 2010

  8. Research Article

    Nonlocal Impulsive Cauchy Problems for Evolution Equations

    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...

    Jin Liang and Zhenbin Fan

    Advances in Difference Equations 2010 2011:784161

    Published on: 25 November 2010