Electronic Journal of Differential Equations, Vol. 2007(2007), No. 136, pp. 1-9. Title: Existence of global solutions for systems of second-order differential equations with p-Laplacian Authors: Milan Medved (Comenius Univ., Bratislava, Slovakia) Eva Pekarkova (Masaryk Univ., Brno, Czech Republic) Abstract: We obtain sufficient conditions for the existence of global solutions for the systems of differential equations $$ \big(A(t)\Phi_p(y')\big)' + B(t)g(y') + R(t)f(y) = e(t), $$ where $\Phi_p(y')$ is the multidimensional p-Laplacian. Submitted April 17, 2007. Published October 15, 2007. Math Subject Classifications: 34C11. Key Words: Second order differential equation; p-Laplacian; global solution.