Another proof of Borůvka’s criterion on global equivalence of the second order ordinary linear differential equations. (English) Zbl 0714.34055

Neuman, František

Čas. Pěstování Mat. 115, No. 1, 73-80 (1990).

Summary: Using a visible geometrical approach the author proves the criterion on global equivalence of the second order ordinary linear homogeneous differential equations in the real domain, originally derived by O. Borůvka [Lineare Differentialtransformationen 2. Ordnung. Berlin (1967; Zbl 0153.112)] by an analytic method.

MSC:

34C20	Transformation and reduction of ordinary differential equations and systems, normal forms
34A30	Linear ordinary differential equations and systems
34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

geometrical approach; global equivalence

Citations:

Zbl 0153.112