Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation

الملخص EN

In this paper, the entire solutions of finite order of the Fermat-type differential-difference equation f″z2+△ckfz2=1 and the system of equations f1″z2+△ckf2z2=1 and f2″z2+△ckf1z2=1 have been studied.

We give the necessary and sufficient conditions of existence of the entire solutions of finite order.