A Lyapunov inequality for a second order nonlinear differential equation

✍ Scribed by P. Almenar; L. Jódar

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 206 KB
• Volume: 24
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2010.11.006

✦ Synopsis

This paper presents a Lyapunov-type inequality for the second order nonlinear equation (r(x)y ′ ) ′ + p(x)f (y(x)) = 0, with r(x), p(x) > 0 and f (y) odd and positive for y > 0. It also compares it with similar results.