Transformations of linear second order ordinary differential equations. (English) Zbl 0644.34029

Staněk, S.; Vosmanský, J.

Arch. Math., Brno 22, 55-59 (1986).

From the author’s abstract: The transformation \(z(t)=\alpha (t)y+\beta (t)y'\) of solutions y of a linear second order ordinary differential in general form is considered and a differential equation for z(t) is derived. Previous results concerning such problem are discussed.

Reviewer: H.Hochstadt

MSC:

34C20	Transformation and reduction of ordinary differential equations and systems, normal forms
34B05	Linear boundary value problems for ordinary differential equations
34B99	Boundary value problems for ordinary differential equations

Keywords:

linear second order ordinary differential