[PDF] Top 20 Solutions of complex difference and q difference equations
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Solutions of complex difference and q difference equations
... the q-difference equations studied in this paper have meromorphic solutions due to the properties of the q-difference ...possible q-difference ... See full document
22
Existence and growth of meromorphic solutions of some nonlinear q difference equations
... meromorphic solutions of complex q-difference equations ...differential- q-difference equations) instead of complex difference equation ...involved equations are more ... See full document
9
Existence of zero order meromorphic solutions of certain q difference equations
... where R(z,f ) is rational in f and meromorphic in z. It shows that if the above equation assumes an admissible zero-order meromorphic solution f (z), then either f(z) is a solution of a q-difference Riccati ... See full document
13
Existence of solutions for nonlinear second order q difference equations with first order q derivatives
... The existence and uniqueness of solutions for the problem are proved by means of the Leray-Schauder nonlinear alternative and some standard fixed point theorems. Finally, we give two examples to demonstrate the use ... See full document
11
Existence solutions for boundary value problem of nonlinear fractional q difference equations
... fractional q-difference calculus had its origin in the works by Al-Salam [] and Agarwal ...fractional q-difference calculus were made, for example, q-analogues of the integral and differential ... See full document
12
Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... This paper investigates the positive solutions for the singular coupled integral boundary value problem of nonlinear higher-order fractional q-difference equations. By applying a mixed monotone method ... See full document
22
The poles and growth of solutions of systems of complex difference equations
... of complex difference equations and obtained some existence theorems and estimates on the proximity function and the counting function of solutions of some systems of complex difference ... See full document
11
Existence and properties of meromorphic solutions of some q difference equations
... a q-difference equation under a condition sim- ilar to Theorem B on meromorphic solution, and they obtained the following ...a q-difference equation of the ... See full document
9
Meromorphic Solutions of Some Complex Difference Equations
... In 10 , Heittokangas et al. extended and improved the above result to higher-order difference equations of more general type. However, by inspecting the proofs in 4 , we can find a more general class of ... See full document
10
On the Meromorphic Solutions of Certain Nonlinear Difference Equations
... Meromorphic solutions of complex differential equations and complex difference equations plays a prominent role in the field of Complex ...analysis. Solutions of ... See full document
9
Some results on q difference equations
... morphic solutions of (.), from which a q-difference analogue of the classical Malmquist theorem [] is given: if the q-difference equation ...a q-difference Riccati equation, ... See full document
11
The growth of solutions of systems of complex q shift difference equations
... difference equations, difference product and q-difference in the complex plane C, considerable attention was paid to the growth of solutions of difference equations, value distribution and ... See full document
18
Successive iteration and positive extremal solutions for nonlinear impulsive \(q {k}\) difference equations
... of q-difference equations and ...of q-calculus does not involve the idea of limit. The importance of q-difference equations lies in the fact that these equations are always ... See full document
8
Some properties of solutions of a class of systems of complex q shift difference equations
... In this note, we will investigate the problem of the existence and growth of solutions of complex difference equations. The fundamental results and the standard notations of the Nevanlinna value ... See full document
10
On the absence of global solutions for some q difference inequalities
... The q-difference calculus or quantum calculus is an old subject, which is rich in history and in ...of solutions for different kinds of q-difference equations; see, for example, [3–5, 9, 10, 13, ... See full document
9
Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations
... difference equations during the life of Ric- cati and that nobody has seen a paper written by him on the ...difference equations motivated me to conduct a con- siderable, but, of course, not thorough, ... See full document
21
The solutions of one type q difference functional system
... on q-difference equations, our results can give estimates on the proximity functions and the counting functions of the solutions of q-difference equations ...that solutions have a ... See full document
9
Global behavior of the solutions of some difference equations
... rational difference equations of a higher order is quite challenging and rewarding, and the results about these equations offer prototypes towards the development of the basic theory of the global ... See full document
16
Almost Automorphic Solutions of Difference Equations
... the solutions of difference equations is their ...difference equations and systems have been treated, among others, by Agarwal and Popenda 1 , Corduneanu 2 , Halanay 3 , Pang and Agarwal 4 , Sugiyama 5 ... See full document
15
On the solutions of second order generalized difference equations
... of complex numbers and to be real, some new qualitative properties like rotatory, expanding, shrinking, spiral and weblike structures were studied for the solutions of difference equations involving ... See full document
14
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