×

A trichotomy of solutions of second order linear differential equations. (English) Zbl 0597.34060

Summary: The main result of this paper is contained in the lemma, in which a sufficient condition is given such that all positive decreasing solutions of equation \(y''=f(x)y\) are slowly or rapidly or regularly varying functions. By using the lemma some inequalities for the solution of the above equation are obtained.

MSC:

34E05 Asymptotic expansions of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems
PDFBibTeX XMLCite