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Keywords:
second order differential equation; $p$-Laplacian; asymptotic properties; lower estimate; singular solution
second order differential equation; $p$-Laplacian; asymptotic properties; lower estimate; singular solution
Summary:
We study asymptotic properties of solutions for a system of second differential equations with $p$-Laplacian. The main purpose is to investigate lower estimates of singular solutions of second order differential equations with $p$-Laplacian $(A(t)\Phi _{p}(y^{\prime }))^{\prime }+B(t)g(y^{\prime })+R(t)f(y)=e(t)$. Furthermore, we obtain results for a scalar equation.
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