Results in Mathematics

, Volume 44, Issue 3, pp 375–385

Optimal Existence Conditions for the Periodic Delay ϕ-Laplace Equation with upper and lower Solutions in the Reverse order

  • Wenjie Zuo
  • Daqing Jiang
  • Donal O’Regan
  • R. P. Agarwal
Article

DOI: 10.1007/BF03322992

Cite this article as:
Zuo, W., Jiang, D., O’Regan, D. et al. Results. Math. (2003) 44: 375. doi:10.1007/BF03322992

Abstract

In this paper, we show that the monotone iterative technique produces two monotone sequences that converge uniformly to extremal solutions for the periodic delay ϕ-Laplace equation. Moreover, we obtain optimal existence conditions with upper and lower solutions in the reverse order.

Key words and phrases

ExistenceUpper and lower solutionsMonotone iterative technique

MSC 2000

34B15

Copyright information

© Birkhäuser Verlag, Basel 2003

Authors and Affiliations

  • Wenjie Zuo
    • 1
  • Daqing Jiang
    • 1
  • Donal O’Regan
    • 2
  • R. P. Agarwal
    • 3
  1. 1.Dept. of MathematicsNortheast Normal UniversityChangchunP. R. China
  2. 2.Department of MathematicsNational University of IrelandGalwayIreland
  3. 3.Department of Mathematical ScienceFlorida Institute of TechnologyMelbourneUSA