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Monotone enclosure for a class of discrete boundary value problems without monotone nonlinearities

✍ Scribed by Yuan-Ming Wang

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 534 KB
Volume: 35
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(98)00017-0

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✦ Synopsis

A new concept of a pair of upper and lower solutions is introduced for a class of discrete boundary value problems without monotone nonlinearities. Some comparison results are established. An existence and enclosing theorem for the solutions is given in terms of upper and lower solutions. A new monotone iterative scheme is proposed. The numerical example is given.

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