scholarly journals SOME RESULTS ON COMPLEX DIFFERENTIAL-DIFFERENCE ANALOGUE OF BRÜCK CONJECTURE

2017 ◽  
Vol 32 (2) ◽  
pp. 361-373
Author(s):  
Min Feng Chen ◽  
Zong Sheng Gao
Keyword(s):  
Difference Analogue ◽  
Brück Conjecture

scholarly journals Difference Equations and Sharing Values Concerning Entire Functions and Their Difference

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Zhiqiang Mao ◽  
Huifang Liu
Keyword(s):  
Difference Equations ◽  
Entire Functions ◽  
Value Distribution ◽  
Difference Operators ◽  
Sharing Values ◽  
Difference Analogue ◽  
The Difference ◽  
Brück Conjecture

The value distribution of solutions of certain difference equations is investigated. As its applications, we investigate the difference analogue of the Brück conjecture. We obtain some results on entire functions sharing a finite value with their difference operators. Examples are provided to show that our results are the best possible.

scholarly journals A note on differential-difference analogue of Brück conjecture

ScienceAsia ◽  
2019 ◽  
Vol 45 (4) ◽  
pp. 388
Author(s):  
Minfeng Chen ◽  
Ning Cui
Keyword(s):  
Difference Analogue ◽  
Brück Conjecture

Stresses in Oil Lubricated Bearings

1969 ◽  
Vol 184 (1) ◽  
pp. 69-82 ◽  
Author(s):  
S. M. Ibrahim ◽  
H. Mccallion
Keyword(s):  
Thrust Bearing ◽  
Journal Bearing ◽  
Fluid Pressure ◽  
Temperature Gradients ◽  
Rigid Surface ◽  
Pressure Loading ◽  
Bearing Surface ◽  
Bearing Ring ◽  
Difference Analogue ◽  
Differential Thermal Expansion

Stresses in a bimetal strip of white metal bonded to steel, to simulate a journal bearing shell or a thrust bearing ring, have been calculated for various loading conditions. The stresses arose from: fluid pressure loading on the bearing surface whilst the back was supported on a complete rigid surface; locating and holding forces, e.g. compression due to nipping-up the bearing; elastic deformation of the bearing housing; differential thermal expansion and temperature gradients, and incomplete support of the bearing shell when subjected to fluid pressure on its bearing surface. Points at which fatigue damage is likely to originate are apparent. The stresses were calculated numerically from displacements which were found, by an iterative method, to satisfy a finite difference analogue of the governing differential equations.

scholarly journals ON THE GENERALIZATIONS OF BRÜCK CONJECTURE

2016 ◽  
Vol 31 (2) ◽  
pp. 311-327 ◽  
Author(s):  
Abhijit Banerjee ◽  
Bikash Chakraborty
Keyword(s):  
Brück Conjecture

scholarly journals A NOTE ON VALUE DISTRIBUTION OF DIFFERENCE POLYNOMIALS

2010 ◽  
Vol 81 (3) ◽  
pp. 353-360 ◽  
Author(s):  
K. LIU ◽  
I. LAINE
Keyword(s):  
Value Distribution ◽  
Difference Polynomials ◽  
Brück Conjecture

AbstractIn this paper, we investigate the value distribution of difference polynomials and prove some difference analogues of results of Hayman and the Brück conjecture.

An Analogue of the Wave Equation and Certain Related Functional Equations

1969 ◽  
Vol 12 (6) ◽  
pp. 837-846 ◽  
Author(s):  
John A. Baker
Keyword(s):  
Functional Equation ◽  
Wave Equation ◽  
Functional Equations ◽  
Geometric Interpretation ◽  
Continuous Solutions ◽  
Difference Analogue ◽  
Image Position

Consider the functional equation(1)assumed valid for all real x, y and h. Notice that (1) can be written(2)a difference analogue of the wave equation, if we interpret etc., (i. e. symmetric h differences), and that (1) has an interesting geometric interpretation. The continuous solutions of (1) were found by Sakovič [5].

scholarly journals On Value Distribution of Difference Polynomials of Meromorphic Functions

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Zong-Xuan Chen
Keyword(s):  
Meromorphic Functions ◽  
Value Distribution ◽  
Difference Analogue ◽  
Difference Polynomials ◽  
The Difference

We study the value distribution of the difference counterpartΔf(z)−af(z)noff′(z)−af(z)nand obtain an almost direct difference analogue of results of Hayman.

A difference analogue of the Davey–Stewartson system: discrete Gram-type determinant solution and Lax pair

2007 ◽  
Vol 40 (42) ◽  
pp. 12741-12751 ◽  
Author(s):  
Gegenhasi ◽  
Xing-Biao Hu ◽  
Decio Levi ◽  
Satoshi Tsujimoto
Keyword(s):  
Lax Pair ◽  
Difference Analogue
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