[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2007.44.6.1453

OSCILLATION AND NONOSCILLATION THEOREMS FOR NONLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER

Kim, Rak-Joong (DEPARTMENT OF MATHEMATICS HALLYM UNIVERSITY)
Kim, Dong-Il (DEPARTMENT OF MATHEMATICS HALLYM UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.44, no.6, 2007 , pp. 1453-1467 More about this Journal

Abstract

By means of a Riccati transform some oscillation or nonoscillation criteria are established for nonlinear differential equations of second order $(E_1)\;[p(t)|x#(t)|^{\alpha}sgn\;x#(t)]#+q(t)|x(\tau(t)|^{\alpha}sgn\;x(\tau(t))=0$ . $$(E_2),\;(E_3)\;and\;(E_4)\;where\;0<{\alpha}$$ and $${\tau}(t){\leq}t,\;{\tau}#(t)>0,\;{\tau}(t){\rightarrow}{\infty}\;as\;t{\rightarrow}{\infty}$$. In this paper we improve some previous results.

Keywords

Riccati Transform; oscillatory or nonoscillatory property; delay differential equation;

Citations & Related Records

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