We discuss a third-order differential equation, involving a general form of nonlinearity. We obtain results describing how suitable coefficient functions determine the asymptotic and (non-)oscillatory behavior of solutions. We use comparison technique with first-order differential equations together with the Kusano-Naito's and Philos' approaches.
Vetro C., Wardowski D. (2022). Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases. ASYMPTOTIC ANALYSIS, 128(4), 445-463 [10.3233/ASY-211710].
Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases
Vetro C.;
2022-06-07
Abstract
We discuss a third-order differential equation, involving a general form of nonlinearity. We obtain results describing how suitable coefficient functions determine the asymptotic and (non-)oscillatory behavior of solutions. We use comparison technique with first-order differential equations together with the Kusano-Naito's and Philos' approaches.File in questo prodotto:
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