Non-Instantaneous Impulses in Differential Equations

Beschreibung

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 equations 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.

Offers three thorough chapters devoted to theory, proofs, and examples

Investigates a wide class of differential equations with non-instantaneous impulses

Equips readers with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology, and pharmacokinetics

Autor*in

Ravi Agarwal

Themen in »Non-Instantaneous Impulses in Differential Equations«

partial differential equations ordinary differential equations non-instantaneous impulses fractional derivatives fractional differential equations Lyapunov functions differential equations Caputo fractional derivatives non-instantaneous impulses in differential equations impulse systems

Stimmen zu »Non-Instantaneous Impulses in Differential Equations«

“The presence of a huge amount of illustrative examples and graphs anywhere in the book is very helpful for understanding of the theory and proofs. Graduate students at various levels as well as researchers in differential equations and related fields will find this book a valuable resource of both introductory and advanced material.” (Hristo S. Kiskinov, zbMATH 1426.34001, 2020)
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