Uniqueness and parameter dependence of positive solutions of a discrete fourth-order problem

John R. Graef, Lingju Kong, Min Wang, Bo Yang

    Research output: Contribution to journalArticlepeer-review

    12 Scopus citations

    Abstract

    We study a class of nonlinear discrete fourth-order Lidstone boundary value problems with dependence on two parameters. The existence, uniqueness and dependence of positive solutions on the parameters are discussed. Two sequences are constructed so that they converge uniformly to the unique solution of the problems. One example is included in the paper. Numerical computations of the example confirm our theoretical results. Recent results in the literature are extended and improved.

    Original languageEnglish (US)
    Pages (from-to)1133-1146
    Number of pages14
    JournalJournal of Difference Equations and Applications
    Volume19
    Issue number7
    DOIs
    StatePublished - Jul 2013

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Algebra and Number Theory
    • Applied Mathematics

    Fingerprint

    Dive into the research topics of 'Uniqueness and parameter dependence of positive solutions of a discrete fourth-order problem'. Together they form a unique fingerprint.

    Cite this