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Forced oscillation of second order superlinear differential equations

✍ Scribed by Yuan Gong Sun; James S. W. Wong

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
130 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper, we establish some new criteria for the oscillation of second order forced nonlinear differential equations (r (t )x β€²(t ))β€² + p (t )x β€²(t ) + q (t )f (x (t )) = e (t ) in both cases when q (t ) < 0 and q (t ) changes its sign. Our results are sharper than those of Agarwal and Grace [1], Cakmak and Tiryaki [2], Ou and Wong [17] for the second order case. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Oscillation of second-order perturbed di
Oscillation of second-order perturbed differential equations
✍ Octavian G. Mustafa; Yuri V. Rogovchenko πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 131 KB

## Abstract We give constructive proof of the existence of vanishing at infinity oscillatory solutions for a second‐order perturbed nonlinear differential equation. In contrast to most results reported in the literature, we do not require oscillatory character of the associated unperturbed equation