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Self-adjoint differential equations and generalized Karamata functions

Self-adjoint differential equations and generalized Karamata functions

Howard and Maric have recently developed nice nonoscillation theorems for the differential equation U" + q(t)y = 0 (*) by means of regularly varying functions in the sense of Karamata. The purpose of this paper is to show that their results can be fully generalized to differential equations of the …