In this thesis, we shall utilize Nevanlinna value distribution theory to study the solvability of the difference-differential equation: fn+Rd(z,f)= P1(z)eq1(z)+P2(z)eq2(z) where n≥ 3,Rd(z,f) is a difference-differential polynomial in f of degree d≤ n-2 with rational function as its coefficients, p1, p2 are rational functions and q1, q2 are polynomials. |