OSCILLATIONS IN CERTAIN DIFFERENCE EQUATIONS
نویسندگان
چکیده
منابع مشابه
On meromorphic solutions of certain type of difference equations
We mainly discuss the existence of meromorphic (entire) solutions of certain type of non-linear difference equation of the form: $f(z)^m+P(z)f(z+c)^n=Q(z)$, which is a supplement of previous results in [K. Liu, L. Z. Yang and X. L. Liu, Existence of entire solutions of nonlinear difference equations, Czechoslovak Math. J. 61 (2011), no. 2, 565--576, and X. G. Qi...
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we mainly discuss the existence of meromorphic (entire) solutions of certain type of non-linear difference equation of the form: $f(z)^m+p(z)f(z+c)^n=q(z)$, which is a supplement of previous results in [k. liu, l. z. yang and x. l. liu, existence of entire solutions of nonlinear difference equations, czechoslovak math. j. 61 (2011), no. 2, 565--576, and x. g. qi...
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where Pm,n > 0 onN 0 , k, l ∈N0,Ni = {i, i+1, . . .} and i is an arbitrary integer. Throughout this paper, we assume that a, b, c, d are positive constants. A double sequence {Am,n} is said to be a solution of (1.1) if it satisfies (1.1) form≥m0, n≥ n0. A solution {Ai, j} of (1.1) is said to be eventually positive if Ai, j > 0 for all large i and j, and eventually negative if Ai, j < 0 for all ...
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(ii) {g(n)} is a nondecreasing sequence, and limn→∞ g(n)=∞; (iii) f ∈ (R,R), x f (x) > 0, and f ′(x)≥ 0 for x = 0; (iv) αi, i= 1,2, are quotients of positive odd integers. The domain (L3) of L3 is defined to be the set of all sequences {x(n)}, n ≥ n0 ≥ 0 such that {Ljx(n)}, 0≤ j ≤ 3 exist for n≥ n0. A nontrivial solution {x(n)} of (1.1;δ) is called nonoscillatory if it is either eventually posi...
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 1997
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.27.1996.4342