Periodic solutions of second order nonlinear difference equations with discrete phi-Laplacian

Bereanu, Cristian;Thompson, H. B.
(2007) Journal of Mathematical Analysis and Applications — Vol. 330, n° 2, p. 1002-1015 (2007)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 163.35 KB
Request a copy

Details

Authors
  • Bereanu, CristianUCLouvain
    Author
  • Thompson, H. B.
    Author
Abstract
We use Brouwer degree to prove existence and multiplicity results for the periodic solutions of some nonlinear second order difference equations involving discrete phi-Laplacian. We obtain in particular upper and lower solutions theorems, Ambrosetti-Prodi type multiplicity results, sharp existence conditions for nonlinearities which are bounded from below or from above and necessary and sufficient conditions for the existence of positive periodic solutions when the nonlinearity is singular at 0. (c) 2006 Elsevier Inc. All rights reserved.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Bereanu, C., & Thompson, H. B. (2007). Periodic solutions of second order nonlinear difference equations with discrete phi-Laplacian. Journal of Mathematical Analysis and Applications, 330(2), 1002-1015. https://doi.org/10.1016/j.jmaa.2006.07.104 (Original work published 2007)