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Integral averages and oscillation criteria of second-order nonlinear differential equations

✍ Scribed by A. Tiryaki; D. Çakmak

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
576 KB
Volume
47
Category
Article
ISSN
0898-1221

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✦ Synopsis

The purpose of this paper is to present some new sufficient criteria for the oscillation of all solutions of the second-order nonlinear differential equation

where a E CZ([to, ¢~)) is a positive function, q 6 C([to, c~)) has no restriction on its sign, ~ E C(R), I 6 CI(R) are such that if(x) ~ 0 and kg(x) > 0, xf(x) > 0 for z ~ 0. These criteria are obtained by using a general class of the parameter functions in the averaging techniques and represent extension, as well as improvement of known oscillation criteria of several authors for the generalized Emden-Fowler equation.

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