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
    • Dept. of MathematicsNortheast Normal University
  • Daqing Jiang
    • Dept. of MathematicsNortheast Normal University
  • Donal O’Regan
    • Department of MathematicsNational University of Ireland
  • R. P. Agarwal
    • Department of Mathematical ScienceFlorida Institute of Technology

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


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

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© Birkhäuser Verlag, Basel 2003