×

zbMATH — the first resource for mathematics

Principal solutions of non-oscillatory half-linear differential equations. (English) Zbl 0914.34031
Summary: The notion of the principal solution to nonoscillatory linear differential equations of second order is generalized to nonoscillatory half-linear second-order differential equations. Relations are established between the principal solutions to two differential equations when one of the differential equations is a Sturmian majorant of the other one. An application is given to the Bessel function \(K_0(t)\).

MSC:
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
PDF BibTeX XML Cite