Article ID Journal Published Year Pages File Type
6418040 Journal of Mathematical Analysis and Applications 2015 11 Pages PDF
Abstract

The authors give sufficient conditions for all solutions of a higher order nonlinear delay dynamic equation on time scales to be nonoscillatory. The results cover both the superlinear and sublinear cases and, in the differential equations case, resolve a question that has been open for 30 years. In order to prove their results, the authors first prove a new Bihari type inequality for functions on time scales.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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