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

Abstract

We obtain sufficient conditions for the existence of global solutions for the systems of differential equations $$ ig(A(t)Phi_p(y')ig)' + B(t)g(y') + R(t)f(y) = e(t), $$ where $Phi_p(y')$ is the multidimensional p-Laplacian.

Keywords

• Second order differential equation
• p-Laplacian
• global solution