Research Article Existence of Triple Positive Solutions for Second-Order Discrete Boundary Value Problems

نویسندگان

  • Yanping Guo
  • Jiehua Zhang
  • Yude Ji
چکیده

The second-order differential and difference boundary value problems arise in many branches of both applied and basic mathematics and have been extensively studied in the literature. We refer the reader to [1–4] for some recent results for second-order nonlinear two-point boundary value problems. The main tools used in the above works are fixed-point theorems. Avery and Peterson [1] generalize the fixed-point theorem of Leggett-Williams by using theory of fixed-point index and Dugundji extension theorem. Recently, Bai et al. [5] have applied this theorem to prove the existence of three positive solutions for the secondorder differential equation x′′(t) + q(t) f (t,x(t),x′(t))= 0, 0 < t < 1. In this paper, the aim of this work is to establish the existence of three positive solutions for the second-order difference equation

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تاریخ انتشار 2007