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Existence of positive solutions for certain nonlinear partial difference equations

โœ Scribed by B.G. Zhang; Yong Zhou; Y.Q. Huang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
406 KB
Volume
38
Category
Article
ISSN
0895-7177

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## 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 + ร— R + x R, R), uhi(x, y, u) > 0 for u ยข 0, hi is nondecreasing i