Behaviour of Solutions of a Third Order Differential Equation

M. Greguš; D. Sišoláková

doi:10.4171/zaa/530

JournalszaaVol. 12, No. 4pp. 759–764

Behaviour of Solutions of a Third Order Differential Equation

M. Greguš
Comenius University, Bratislava, Slovak Republic
D. Sišoláková
Comenius University, Bratislava, Slovak Republic

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Abstract

Properties of proper and regular non-oscillatory solutions of the equation $x "^{'} + f (t) g (x, x ’, x ") = 0$ , and some sufficient conditions for regular solutions to be oscillatory or non-oscillatory are derived.

Cite this article

M. Greguš, D. Sišoláková, Behaviour of Solutions of a Third Order Differential Equation. Z. Anal. Anwend. 12 (1993), no. 4, pp. 759–764

DOI 10.4171/ZAA/530