Non-Instantaneous Impulses in Differential Equations / by Ravi Agarwal, Snezhana Hristova, Donal O'Regan.

Format:

Book

Author/Creator:

Agarwal, Ravi., Author.

Hristova, Snezhana., Author.

O'Regan, Donal., Author.

Language:

English

Subjects (All):

Differential equations.

Differential Equations.

Local Subjects:

Differential Equations.

Physical Description:

1 online resource (XI, 251 p. 49 illus.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three comprehensive chapters, providing an all-rounded and unique presentation on the topic, including: - Ordinary differential equations with non-instantaneous impulses (scalar and n-dimensional case) - Fractional differential equa tions with non-instantaneous impulses (with Caputo fractional derivatives of order q ϵ (0, 1)) - Ordinary differential equations with non-instantaneous impulses occurring at random moments (with exponential, Erlang, or Gamma distribution) Each chapter focuses on theory, proofs and examples, and contains numerous graphs to enrich the reader’s understanding. Additionally, a carefully selected bibliography is included. Graduate students at various levels as well as researchers in differential equations and related fields will find this a valuable resource of both introductory and advanced material.

Contents:

Preface

Introduction

1. Non-instantaneous Impulses in Differential Equations

2. Non-instantaneous Impulses in Differential Equations with Caputo fractional derivatives

3. Non-instantaneous Impulses on Random time in Differential Equations with Ordinary/Fractional Derivatives

Bibliography.

Notes:

Includes bibliographical references.

ISBN:

3-319-66384-4