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Oscillation criteria of certain nonlinear partial difference equations

✍ Scribed by B.G. Zhang; B.M. Liu

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 279 KB
Volume: 38
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(99)00290-4

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✦ Synopsis

This paper is concerned with the nonlinear partial difference equation with continuous variables m A(x + a, y) + A(x, y + a) -A(x, y) + E hi(x, y, A(x -ai, y -~-i)) -~ 0, i=l

where a, ai, ri are positive numbers, hi(x,y,u) E C(R + × R + x R, R), uhi(x, y, u) > 0 for u ¢ 0, hi is nondecreasing in u, i = 1 .... , m. Some oscillation criteria of this equation are obtained. (~) 1999 Elsevier Science Ltd. All rights reserved.

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