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Abstract Differential and Difference Equations

  1. Content type: Research Article

    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

    Authors: Ali Gelisken, Cengiz Cinar and Ibrahim Yalcinkaya

    Citation: Advances in Difference Equations 2010 2010:584890

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  2. Content type: Research Article

    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

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  3. Content type: Research Article

    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

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  4. Content type: Research Article

    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

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  5. Content type: Research Article

    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

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