Linear elliptic difference inequalities with random coefficients
نویسندگان
چکیده
منابع مشابه
Linear Elliptic Difference Inequalities with Random Coefficients
We prove various pointwise estimates for solutions of linear elliptic difference inequalities with random coefficients. These estimates include discrete versions of the maximum principle of Aleksandrov and Harnack inequalities and Holder estimates of Krylov and Safonov for elliptic differential operators with bounded coefficients.
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In this paper, we established some sufficient conditions for the oscillation of second order neutral difference inequalities (−1)x(n) { ∆z(n) + (−1)q(n)f(x(σ(n))) } ≤ 0, n ≥ n0 (∗) where δ = 0 or δ = 1, z(n) = x(n) + p(n)x(n − τ), τ is a positive integer, {p(n)}, {q(n)} are sequences of real numbers, {σ(n)} is a sequence of nonnegative integers and f : R → R where R is the set of real numbers. ...
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Article history: Received 7 March 2008 Received in revised form 19 September 2008 Accepted 31 December 2008 Available online 24 January 2009
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1990
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1990-1023049-9