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Generalized Sturm-Liouville equations. (English) Zbl 0632.34004
The Sturm-Liouville equation is treated within the framework of generalized ordinary differential equations. This concept allows discontinuities in the solutions as well as in their derivatives. An integral identity is derived for obtaining comparison results of Sturm type for generalized Sturm-Liouville systems.

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