Existence of multiple solutions to a discrete fourth order periodic boundary value problem

John R. Graef, Lingju Kong, Min Wang

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Suficient conditions are obtained for the existence of multiple so-lutions to the discrete fourth order periodic boundary value problem Δ4u(t - 2) - Δ (p(t - 1) Δ u(t - 1)) + q(t)u(t) = f(t; u(t)); t ε [1;N]Z; Δiu(-1) = Δiu(N - 1); i = 0; 1; 2; 3: Our analysis is mainly based on the variational method and critical point the- ory. One example is included to illustrate the result.

Original languageEnglish (US)
Pages (from-to)291-299
Number of pages9
JournalDiscrete and Continuous Dynamical Systems - Series S
Issue numberSUPPL.
StatePublished - Nov 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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