View source for Book:Ravi Agarwal/Dynamic Inequalities on Time Scales

{{Book|Dynamic Inequalities on Time Scales||||Ravi Agarwal|author2=Donal O'Regan|author3=Samir Saker}}

===Contents===
:1 Preliminaries
::1.1 Delta Calculus
::1.2 Nabla Calculus
::1.3 Diamond-$\alpha$ Calculus
::1.4 Taylor Monomials and Series
:2 Basic Inequalities
::2.1 Young Inequalities
::2.2 Jensen Inequalities
::2.3 Hölder Inequalities
::2.4 Minkowksi Inequalities
::2.5 Steffensen Inequalities
::2.6 Hermite-Hadamard Inequalities
::2.7 Čebyšev Inequalities
:3 Opial Inequalities
::3.1 Opial Type Inequalities I
::3.2 Opial Type Inequalities II
::3.3 Opial Type Inequalities III
::3.4 Higher Order Opial Type Inequalities
::3.5 Diamond-$\alpha$ Opial Inequalities
:4 Lyapunov Inequalities
::4.1 Second Order Linear Equations
::4.2 Second Order Half-Linear Equations
::4.3 Second Order Equations with Damping Terms
::4.4 Hamiltonian Systems
:5 Halanay Inequalities
::5.1 Shift Operators
::5.2 Delay Functions Generated by Shift Operators
::5.3 Halanay Inequality on Time Scales
::5.4 Stability of Nonlinear Dynamic Equations
:6 Wirtinger Inequalities
::6.1 Wirtinger-Type Inequality I
::6.2 Wirtinger-Type Inequality II
::6.3 Further Wirtinger Inequalities
::6.4 An Application of Wirtinger Inequalities on Time Scales
:Bibliography
:Index

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