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Yan’s oscillation theorem revisited

✍ Scribed by Yuri V. Rogovchenko; Fatoş Tuncay

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
392 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

Yan's contribution [J. Yan, Oscillation theorems for second order linear differential equations with damping, Proc. Amer. Math. Soc. 98 (1986) 276-282] was an important breakthrough in the development of the Theory of Oscillation. This frequently cited paper has stimulated extensive investigations in the field. During the last decade, an integral oscillation technique has been developed to such an extent as to allow us to revisit Yan's fundamental oscillation theorem and remove one of the conditions, leaving the other assumptions and the conclusion intact, thus enhancing this keystone result.

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