Address: Università IUAV di Venezia Tolentini S. Croce 191, 30135 Venezia, Italy
E-mail: manfrin@iuav.it
Abstract: Under suitable hypotheses on $\gamma (t)$, $\lambda (t)$, $q(t)$ we prove some stability results which relate the asymptotic behavior of the solutions of $u^{\prime \prime }+ \gamma (t)u^{\prime }+\big (q(t)+ \lambda (t)\big )u=0$ to the asymptotic behavior of the solutions of $u^{\prime \prime }+ q(t)u=0$.
AMSclassification: primary 34C11; secondary 34D10.
Keywords: second order ODE, boundedness of solutions, linear perturbations.