NEVANLINNA METHOD OF OBTAINING SOLUTION OF A SYSTEM OF q-SHIFT COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS

Abstract

. The Nevanlinna theory of value distribution is used to investigate the existence of a meromorphic solution to a general system of q-shift complex differential-difference equations whose coefficients are small functions of the meromorphic function. Several limiting cases are reported in the study and an example is given to complement our result. A note is added about problems for which the method does not work.