Existence of global solutions for systems of second-order functional-differential equations with p-Laplacian

We find sufficient conditions for the existence of global solutions for the systems of functional-differential equations $$ ig(A(t)Phi_p(y')ig)' + B(t)g(y', y'_t) + R(t)f(y, y_t) = e(t), $$ where $Phi_p(u) = (|u_1|^{p-1}u_1, dots, |u_n|^{p-1}u_n)^T$ which is the multidimensional p-Laplacian.