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

First Online: 24 April 2013 Received: 12 February 2003 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 Existence Upper and lower solutions Monotone iterative technique

MSC 2000 34B15 The work was supported by NNSF of China.

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© Birkhäuser Verlag, Basel 2003

Authors and Affiliations Wenjie Zuo Daqing Jiang Donal O’Regan R. P. Agarwal 1. Dept. of Mathematics Northeast Normal University Changchun P. R. China 2. Department of Mathematics National University of Ireland Galway Ireland 3. Department of Mathematical Science Florida Institute of Technology Melbourne USA