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

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

Citations:

Zbl 0153.112
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