On the Forms of Meromorphic Solutions of Some Type of Non-linear Differential Equations

In this paper, we study meromorphic solutions f of the non-linear differential equations f(n)+P-d(z,f)=p1e(alpha 1z)+p2e(alpha 2z)+p3e(alpha 3z) , where n >= 3 is an integer, Pd(z,f) is a differential polynomial in f of degree d, p(j),alpha(j) , are non-zero constants. Assuming that d <= n-2 or d=n-1, we give the forms of meromorphic solutions with few poles of the above equations under some conditions on alpha(j),j =1, 2, 3. Some examples illustrate the possibilities of our results.