SOME OSCILLATION CRITERIA FOR SECOND-ORDER NON-LINEAR DIFFERENTIAL EQUATIONS

BEQIRI, Xhevair and KOCI, Elisabeta (2022) SOME OSCILLATION CRITERIA FOR SECOND-ORDER NON-LINEAR DIFFERENTIAL EQUATIONS. Journal of Natural Sciences and Mathematics of UT, 7 (13-14). pp. 151-157. ISSN 2671-3039

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Abstract

We present new oscillation criteria for certain non-linear differential equations of second order with damping term (1) to used the oscillatory solutions of differential equations (2) and (a(t) x^' (t))^'+α(t)f(x(g(t)))=0 (3) where that are different from most known ones (see [5], [8], [12], ect.). Our results extend and improve some previous oscillation criteria and cover the cases which are not covered by known results. In this paper, by using the generalized Riccati technique we get a new oscillation and non-oscillation criteria for (1). The theorems prove to be efficient in many cases and give the results in the literature.

Item Type:	Article
Uncontrolled Keywords:	differential, equations, interval, criteria, damping, second order
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	31 Oct 2022 13:32
Last Modified:	31 Oct 2022 13:32
URI:	http://eprints.unite.edu.mk/id/eprint/1072

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