On Liapunov-type inequality for third-order differential equations

Authors
Parhi, N Panigrahi, S
Citation
N. Parhi et S. Panigrahi, On Liapunov-type inequality for third-order differential equations, J MATH ANAL, 233(2), 1999, pp. 445-460
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
233
Issue
2
Year of publication
1999
Pages
445 - 460
Database
ISI
SICI code
0022-247X(19990515)233:2<445:OLIFTD>2.0.ZU;2-U
Abstract
In this paper, a Liapunov-type inequality has been derived for a class of t hird-order differential equations of the form, y'''+p(t)y = 0, where p is a real-valued continuous function on [0, infinity). The nature o f the distance between consecutive two zeros or three zeros has been studie d with the help of the inequality. (C) 1999 Academic Press.