Dynamic calculus and equations on time scales / edited by Svetlin G. Georgiev.

Format:

Book

Contributor:

Georgiev, Svetlin, editor.

Language:

English

Subjects (All):

Time-series analysis.

Calculus.

Differential equations.

calculus.

Physical Description:

1 online resource (x, 326 pages) : illustrations (black and white)

Place of Publication:

Berlin : De Gruyter, [2023]

Summary:

The latest advancements in time scale calculus are the focus of this book. New types of time-scale integral transforms are discussed in the book, along with how they can be used to solve dynamic equations. Novel numerical techniques for partial dynamic equations on time scales are described. New time scale inequalities for exponentially convex functions are introduced as well.

Contents:

Intro

Preface

Contents

List of Contributing Authors

1 Projector analysis of dynamic systems on time scales

2 Muckenhoupt and Gehring weights on time scales

3 Ulam stability and instability of first-order linear 1- and 2-periodic dynamic equations on isolated time scales

4 A logarithm on time scales and its uses

5 Qualitative analysis for hybrid fuzzy differential equations involving tempered Ξ-Hilfer fractional derivative on time scales

6 The dynamical analysis of nonlinear Ambartsumian equation via tempered Ξ-Hilfer fractional derivative on time scales

7 Series solution method on time scales and its applications

8 Generalized diamond alpha Bennett-Leindler-type dynamic inequalities

9 De La Vallée Poussin-type inequality for impulsive dynamic equations on time scales

10 Divided and σ-divided differences on time scales

Index.

Notes:

Includes bibliographical references and index.

Description based on print version record.

Other Format:

Print version: Dynamic calculus and equations on time scales

ISBN:

3-11-118297-5

9783111182971

3111182975

OCLC:

1402763218