We give necessary and sufficient conditions for the solutions of the differential equation (p(t) x′(t))′ = q(t) x(t) to be bounded together with their first derivatives. We also study the asymptotic behavior of the solutions.
On the asymptotic behavior of the solutions of a class of second-order linear differential equations / M. Marini; P. Zezza. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 28:(1978), pp. 1-17. [10.1016/0022-0396(78)90075-X]
On the asymptotic behavior of the solutions of a class of second-order linear differential equations
MARINI, MAURO;ZEZZA, PIERLUIGI
1978
Abstract
We give necessary and sufficient conditions for the solutions of the differential equation (p(t) x′(t))′ = q(t) x(t) to be bounded together with their first derivatives. We also study the asymptotic behavior of the solutions.
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