Leighton type oscillation criterion and Sturm type comparison theorem. (English) Zbl 0795.34025

Summary: We present a Leighton type oscillation criterion and a Sturm type comparison theorem. These results are obtained by using a generalized Riccati transformation and can be applied in some cases in which classical oscillation results are not applicable.


34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A30 Linear ordinary differential equations and systems
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