Document Zbl 1052.34042

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Jaroš, Jaroslav; Kusano, Takaŝi

Remarks on the existence of regularly varying solutions for second order linear differential equations. (English) Zbl 1052.34042

Publ. Inst. Math., Nouv. Sér. 72(86), 113-118 (2002).

By using the fixed-point principle, the authors prove necessary and sufficient conditions for the regularity in the sense of Karamata (implying nonoscillation) of all solutions of the equation \(y''+f(x)y=0\). The result is is not new, but the method presented here is also suitable for some nonlinear equations.

Reviewer: Vojislav Marić (Novi Sad)

Cited in 7 Documents

MSC:

34C11	Growth and boundedness of solutions to ordinary differential equations
34D05	Asymptotic properties of solutions to ordinary differential equations

Keywords:

fixed-point method

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