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Boundary Value Problems on Time Scales

  1. Research Article

    Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales

    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...

    Meiqiang Feng, Xuemei Zhang, Xianggui Li and Weigao Ge

    Advances in Difference Equations 2009 2009:737461

    Published on: 13 October 2009

  2. Research Article

    Some Basic Difference Equations of Schrödinger Boundary Value Problems

    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...

    Andreas Ruffing, Maria Meiler and Andrea Bruder

    Advances in Difference Equations 2009 2009:569803

    Published on: 11 October 2009

  3. Research Article

    Bounds for Certain New Integral Inequalities on Time Scales

    Our aim in this paper is to investigate some new integral inequalities on time scales, which provide explicit bounds on unknown functions. Our results unify and extend some integral inequalities and their corr...

    Wei Nian Li

    Advances in Difference Equations 2009 2009:484185

    Published on: 14 July 2009