[PDF] Top 20 On Malmquist type theorem of systems of complex difference equations

... More recently, people began to study the properties of meromorphic solutions of sys- tems of complex difference equations. In [], Gao discussed the proximity function and counting function of meromorphic ... See full document

... of systems of complex difference equations and obtain some interesting results such as the lower bounds for Nevanlinna lower order, a counting function of poles and maximum modulus for solutions of ... See full document

... the systems in (7) could be also ...of complex parameters and initial values [60], it is a natural problem to try to solve some of the corresponding close-to-symmetric systems of difference ... See full document

... of systems of higher-order complex difference equations are ...of complex q-difference equations, and we obtain some new results, which are different from analogue differential ... See full document

... orem can be shown the existence of a fixed point, which will be a unique periodic solution to system (). For proving the global attractivity of all solutions to system () to the periodic one is essentially used a ... See full document

... difference equations is a mathematical area of great interest ...Concrete systems is one of its subareas which is of some interest ...the equations and systems [, ...nonlinear equations ... See full document

... Recently, there were some paper focusing on the properties of solutions of some systems of complex difference equations and q-shift difference equation (see [, , –]). A question is raised ... See full document

... to system () are obtained. The system has the most complex structure of solutions to all the related systems studied so far, and some of the forms of solutions appear for the first time. The complexity ... See full document

... the equations and systems that we have studied recently, such as the ones in [] and [] (see also []), are obtained by adding constants to the right-hand sides of some product-type ... See full document

... of systems of two types of complex q-shift difference equations with meromorphic solutions from the point of view of Nevanlinna ...of complex difference ... See full document

... difference equations and systems of differ- ence equations can be naturally associated some linear difference equations with constant coefficients such that some of their solutions can be used in ... See full document

... difference equations has been studied for a long ...difference equations and systems were found during the eighteenth century, and since that time the books which contain results on the topic have more ... See full document

... linear systems with step, which exceeds acceptable for the second order delta transformation, it is reasonable to take into account use of other methods and technical means of solution of linear ... See full document

... The system defined in this way enables high-performance production, and provides optimal use of capacities and great flexibility of the entire system. Such systems enable the production in small series with very ... See full document

... the complex projective synchronization in drive-response stochas- tic switching networks with complex-variable systems is considered in this ...The complex projective synchronization is ... See full document

... difference equations have attracted the attention of many researchers for various ...nonlinear equations which are, in some cases, treatable but their dynamics present some new features with respect to the ... See full document

... After, we have studied the existence of convergent solutions of nonlinear systems whose linear part has a dichotomy See 13, 14, 16-18] These results are obtained under absolutely summabl[r] ... See full document

... Notations Given a meromorphic function f , recall that α ≡ , ∞ is a small function with respect to f , if T (r, α) = S(r, f ), where S(r, f ) denotes any quantity satisfying S(r, f ) = o{T (r, f )} as r → +∞, possibly ... See full document

... Strategies and models of maintenance rely upon reliability indicators and optimization criteria, more often upon minimal costs and maximal availability or upon a compromise thereof [2]. Technical systems have to ... See full document

... If q(z) is a constant or r(z) ≡ , then the conclusion follows from Theorem B. It remains to consider the case q(z) is a non-constant polynomial and r(z) ≡ . Assume f (z) is a tran- scendental entire solution of ... See full document