Results 51 to 60 of about 356 (101)
The existence of solutions to certain type of nonlinear difference-differential equations
Open Mathematics, 2018 In this paper we study the entire solutions to a certain type of difference-differential equations. We also give an affirmative answer to the conjecture of Zhang et al.
Lü Weiran +3 more
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Singular direction of meromorphic functions with finite logarithmic order
Open MathematicsIn this article, we construct filling disks for meromorphic functions of order zero and that way we prove the existence of Borel directions of these functions.
Hu Keqi, Zhang Qingcai
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 Let M be a complete Kähler manifold, whose universal covering is biholomorphic to a ball 𝔹m(R0) in ℂm (0 < R0 +∞). Our first aim in this paper is to study the algebraic dependence problem of differentiably meromorphic mappings.
Quang Si Duc
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A new result for entire functions and their shifts with two shared values
Open MathematicsLet ff be a transcendental entire function of hyperorder strictly less than 1, and let cc be a nonzero finite complex number. We prove that if f(z)f\left(z) and f(z+c)f\left(z+c) partially share 0, 1 ignoring multiplicity (i.e., E¯(0,f(z))⊆E¯(0,f(z+c ...
Xu Aizhu, Lin Peiqiang, Chen Shengjiang
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Uniqueness problems on entire functions that share a small function with their difference operators
, 2014 In this paper, we consider uniqueness problems on entire functions that share a small periodic entire function with their two difference operators and obtain some results.
Baoqin Chen, Sheng Li
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Entire solutions of certain type of difference equations
, 2014 In this paper, we shall study the conditions regarding the existence of transcendental entire solutions of certain type of difference equations. Our results are either supplements to some results obtained recently, or are relating to the conjecture ...
Nana Liu +3 more
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On the meromorphic solutions of some linear difference equations
, 2013 This paper is devoted to studying the growth of meromorphic solutions of some linear difference equations. We obtain some results on the growth of meromorphic solutions when most coefficients in such equations have the same order, which are supplements ...
Huifang Liu, Zhiqiang Mao
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Properties of q-shift difference-differential polynomials of meromorphic functions
Advances in Differential Equations, 2014 In this paper, we deal with the zeros of the q-shift difference-differential polynomials [P(f)∏j=1df(qjz+cj)sj](k)−α(z) and (P(f)∏j=1d[f(qjz+cj)−f(z)]sj)(k)−α(z), where P(f) is a nonzero polynomial of degree n, qj,cj∈C∖{0} (j=1,…,d) are constants, n,d,sj(
Xin-Li Wang, H. Xu, Tang-Sen Zhan
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All exact traveling wave solutions of the combined KdV-mKdV equation
, 2014 In this article, we employ the complex method to obtain all meromorphic solutions of complex combined Korteweg-de Vries-modified Korteweg-de Vries equation (KdV-mKdV equation) at first, then we find all exact traveling wave solutions of the combined KdV ...
Yong Huang +3 more
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The zeros of complex differential-difference polynomials
, 2014 This paper is devoted to considering the zeros of complex differential-difference polynomials of different types. Our results can be seen as the differential-difference analogues of Hayman conjecture (Ann. Math. 70:9-42, 1959).MSC:30D35, 39A05.
Xinling Liu, Kai Liu, Louchuan Zhou
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