|
Showing 1 - 4 of
4 matches in All Departments
This is a monograph devoted to recent research and results on
dynamic inequalities on time scales. The study of dynamic
inequalities on time scales has been covered extensively in the
literature in recent years and has now become a major sub-field in
pure and applied mathematics. In particular, this book will cover
recent results on integral inequalities, including Young's
inequality, Jensen's inequality, Holder's inequality, Minkowski's
inequality, Steffensen's inequality, Hermite-Hadamard inequality
and Cebysv's inequality. Opial type inequalities on time scales and
their extensions with weighted functions, Lyapunov type
inequalities, Halanay type inequalities for dynamic equations on
time scales, and Wirtinger type inequalities on time scales and
their extensions will also be discussed here in detail.
This is a monograph devoted to recent research and results on
dynamic inequalities on time scales. The study of dynamic
inequalities on time scales has been covered extensively in the
literature in recent years and has now become a major sub-field in
pure and applied mathematics. In particular, this book will cover
recent results on integral inequalities, including Young's
inequality, Jensen's inequality, Holder's inequality, Minkowski's
inequality, Steffensen's inequality, Hermite-Hadamard inequality
and Cebysv's inequality. Opial type inequalities on time scales and
their extensions with weighted functions, Lyapunov type
inequalities, Halanay type inequalities for dynamic equations on
time scales, and Wirtinger type inequalities on time scales and
their extensions will also be discussed here in detail.
The study of dynamic equations on time scales, which goes back to
its founder Stefan Hilger is an area of mathematics and has been
created in order to unify the study of differential and difference
equations. The oscillation theory as a part of the qualitative
theory of dynamic equations on time scales has been developed
rapidly in the past ten years. The extensive application prospect
facilitates the development of this field. In fact there are some
applications of dynamic equations in population dynamics, quantum
mechanics, electrical engineering, neural networks, heat transfer,
and combinatorics. The book tends to center around the relevant
oscillation theory of second and third order dynamic equations and
second order neutral dynamic equations on time scales. It is a text
book giving detailed proofs and illustrative examples, which is
intended for both self-study and a course for graduate levels. It
is believed to be the first book dedicated to the oscillation of
dynamic equations on time scales.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R383
R318
Discovery Miles 3 180
|