✦ LIBER ✦

The monotone method for Neumann functional differential equations with upper and lower solutions in the reverse order

✍ Scribed by Daqing Jiang; Ying Yang; Jifeng Chu; Donal O’Regan

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 277 KB
Volume: 67
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2006.09.042

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✦ Synopsis

In this paper, we show that the monotone technique produces two monotone sequences that converge uniformly to extremal solutions of second order functional differential equations and φ-Laplacian equations with Neumann boundary value conditions. Moreover, we obtain existence results assuming upper and lower solutions in the reverse order.

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