Document Zbl 0597.34060

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Marić, V.; Tomić, M.

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

Zb. Rad., Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 14, No. 2, 1-11 (1984).

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.

Cited in 1 Review

Cited in 4 Documents

MSC:

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

Keywords:

second order differential equation; asymptotics of solutions; slowly varying functions; inequalities

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