11-16 December 2016
Quy Nhon (Vietnam)
Asia/Ho_Chi_Minh timezone

Some new results on dynamic inequalities and dynamic systems on time scales

11 Dec 2016, 15:00
50m
Quy Nhon (Vietnam)

Quy Nhon (Vietnam)

International Center for Interdisciplinary Science and Education in Vietnam (ICISE)

Speaker

Dr Thanh Duc Dinh

Summary

In this talk, we present some weighted inequalities for delta derivatives acting on products and compositions of functions on time scales and apply them
to obtain generalized dynamic Opial-type inequalities.
We also give some Picone-type identities and inequalities for a class of first-order nonlinear dynamic systems and derive various weighted inequalities of Wirtinger type and Hardy type on time scales. We apply these results to obtain some
related properties of these systems including Reid's roundabout theorem on disconjugacy, Sturm's separation and comparison theorems, as well as a variational method in the oscillation theory.

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