Oscillation of higher-order neutral nonlinear difference equations
نویسندگان
چکیده
منابع مشابه
Oscillation of second order nonlinear neutral delay difference equations
In this paper sufficient conditions are obtained for oscillation of all solutions of a class of nonlinear neutral delay difference equations of the form ∆(y(n) + p(n)y(n−m)) + q(n)G(y(n − k)) = 0 under various ranges of p(n). The nonlinear function G,G ∈ C(R,R) is either sublinear or superlinear. Mathematics Subject classification (2000): 39 A 10, 39 A 12
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where {pi(n)} are sequences of nonnegative real numbers and not identically equal to zero, and ki is positive integer, i = 1,2, . . . , and is the first-order forward difference operator, xn = xn+1− xn, and xn = l−1( xn) for l ≥ 2. By a solution of (1.1) or inequality (1.2), we mean a nontrival real sequence {xn} satisfying (1.1) or inequality (1.2) for n ≥ 0. A solution {xn} is said to be osci...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1998
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(98)00047-0