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Abstract Differential and Difference Equations

  1. Research Article

    On a Max-Type Difference Equation

    We prove that every positive solution of the max-type difference equation http://static-content.springer.com/image/art%3A10.1155%2F2010%2F584890/MediaObjects/13662_2009_Article_1310_IEq1_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2010%2F584890/MediaObjects/13662_2009_Article_1310_IEq2_HTML.gif

    Ali Gelisken, Cengiz Cinar and Ibrahim Yalcinkaya

    Advances in Difference Equations 2010 2010:584890

    Published on: 30 May 2010

  2. Research Article

    Existence of a Nonautonomous SIR Epidemic Model with Age Structure

    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...

    Junyuan Yang and Xiaoyan Wang

    Advances in Difference Equations 2010 2010:212858

    Published on: 23 February 2010

  3. Research Article

    Notes on the Propagators of Evolution Equations

    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...

    Yu Lin, Ti-Jun Xiao and Jin Liang

    Advances in Difference Equations 2010 2010:795484

    Published on: 16 February 2010

  4. Research Article

    Pairs of Function Spaces and Exponential Dichotomy on the Real Line

    We provide a complete diagram of the relation between the admissibility of pairs of Banach function spaces and the exponential dichotomy of evolution families on the real line. We prove that if

    Adina Luminiţa Sasu

    Advances in Difference Equations 2010 2010:347670

    Published on: 26 January 2010