Georgiev S. Integral Inequalities on Time Scales 2020

Textbook in PDF format

This book is devoted to recent developments of linear and nonlinear integral inequalities on time scales. The book is intended for the use in the field of dynamic calculus on time scales, dynamic equation and integral equations on time scales. It is also suitable for graduate courses in the above fields. The book is designed for those who have mathematical background on time scales calculus.
Preface
Linear integral inequalities on time scales
Linear integro-dynamic inequalities
Nonlinear integral inequalities
Diamond-α integral inequalities
Fractional integral inequalities
Two-dimensional linear integral inequalities
Snow’s inequalities
Two-dimensional linear integro-dynamic inequalities
Two-dimensional nonlinear integral inequalities
Delay integral inequalities
Applications
Bibliography
Index