6533b85afe1ef96bd12b8d3c

RESEARCH PRODUCT

Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases

Dariusz WardowskiCalogero Vetro

subject

Third order nonlinearOscillation and non-oscillationDifferential equationGeneral MathematicsComparison technique010102 general mathematicsMathematical analysis01 natural sciencesAsymptotic behavior010101 applied mathematicsSettore MAT/05 - Analisi Matematica0101 mathematicsThird-order differential equationNonlinear differential equationMathematics

description

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.

yearjournalcountryeditionlanguage
2022-06-07
10.3233/asy-211710http://hdl.handle.net/10447/562746