on meromorphic solutions of certain type of difference equations
نویسندگان
چکیده
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, value distribution and uniqueness of difference polynomials and entire solutions of difference equations, ann. polon. math.
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...
متن کاملGrowth of meromorphic solutions for complex difference equations of Malmquist type
In this paper, we give some necessary conditions for a complex difference equation of Malmquist type $$sum^n_{j=1}f(z+c_j)=frac{P(f(z))}{Q(f(z))},$$ where $n(in{mathbb{N}})geq{2}$, and $P(f(z))$ and $Q(f(z))$ are relatively prime polynomials in $f(z)$ with small functions as coefficients, admitting a meromorphic function of finite order. Moreover, the properties of finite o...
متن کاملGrowth of Meromorphic Solutions of Some q-Difference Equations
and Applied Analysis 3 where |q| > 1 and the index set J consists of m elements and the coefficients a i (z) (a n (z) = 1) and b J (z) are small functions of f. If f is of finite order, then |q| < n + m − 1. 2. Some Lemmas The following important result by Valiron andMohon’ko will be used frequently, one can find the proof in Laine’s book [16, page 29]. Lemma 9. Let f be a meromorphic function....
متن کاملFuzzy difference equations of Volterra type
In this work we introduce the notion of fuzzy volterra dierence equations and study the dynamicalproperties of some classes of this type of equations. We prove some comparison theorems for theseequations in terms of ordinary volterra dierence equations. Using these results the stability of thefuzzy nonlinear volterra dierence equations is investigated.
متن کاملExistence of Positive Solutions for Certain Partial Difference Equations
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 ...
متن کاملNevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations
It is shown that, if f is a meromorphic function of order zero and q ∈ C, then m „ r, f(qz) f(z) « = o(T (r, f)) (‡) for all r on a set of logarithmic density 1. The remainder of the paper consist of applications of identity (‡) to the study of value distribution of zero-order meromorphic functions, and, in particular, zero-order meromorphic solutions of q-difference equations. The results obta...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 41
شماره 1 2015
کلمات کلیدی
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023