OPIAL INEQUALITY AND OSCILLATION OF 2ND-ORDER EQUATIONS

Authors
BROWN RC HINTON DB
Citation
Rc. Brown et Db. Hinton, OPIAL INEQUALITY AND OSCILLATION OF 2ND-ORDER EQUATIONS, Proceedings of the American Mathematical Society, 125(4), 1997, pp. 1123-1129
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
4
Year of publication
1997
Pages
1123 - 1129
Database
ISI
SICI code
0002-9939(1997)125:4<1123:OIAOO2>2.0.ZU;2-4
Abstract
For a second-order differential equation, we obtain from Opial's inequ ality lower bounds for the spacing between two zeros of a solution or between a zero of a solution and a zero of its derivative. These bound s are expressed in terms of antiderivatives of the potential, and in p articular we derive some new Liapunov type inequalities from them.