English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

This note discusses the asymptotic properties of the nonlinear differential equation x”+ a(t)f(x)x’+ b(t)g(x)=0. The behavior of non-oscillatory solutions are shown to be bounded and in L p [0,∞) under specified conditions. Furthermore, the derivative are shown to be in L 2 [0,∞) and the solutions as well as their derivatives shown to approach 0 as t→∞ implying stability. Finally, several examples illustrating these results are also given.

On the asymptotic and L^p properties of non-oscillatory solutions to the second order differential equation x”+a(t)f(x)x’+b(t)g(x)=0