Stability Analysis Of Impulsive Functional Differential Equations
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Stability Analysis Of Impulsive Functional Differential Equations
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Author : Ivanka Stamova
language : en
Publisher: Walter de Gruyter
Release Date : 2009-10-16
Stability Analysis Of Impulsive Functional Differential Equations written by Ivanka Stamova and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-16 with Mathematics categories.
This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researches and practitioners.
Stability Analysis Of Impulsive Functional Differential Equations
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Author : Ivanka Stamova
language : en
Publisher: Walter de Gruyter
Release Date : 2009
Stability Analysis Of Impulsive Functional Differential Equations written by Ivanka Stamova and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researches and practitioners.
Functional And Impulsive Differential Equations Of Fractional Order
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Author : Ivanka Stamova
language : en
Publisher: CRC Press
Release Date : 2017-03-03
Functional And Impulsive Differential Equations Of Fractional Order written by Ivanka Stamova and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-03 with Mathematics categories.
The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books. It manifests different constructive methods by demonstrating how these techniques can be applied to investigate qualitative properties of the solutions of fractional systems. Since many applications have been included, the demonstrated techniques and models can be used in training students in mathematical modeling and in the study and development of fractional-order models.
Almost Periodic Solutions Of Impulsive Differential Equations
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Author : Gani T. Stamov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-09
Almost Periodic Solutions Of Impulsive Differential Equations written by Gani T. Stamov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-09 with Mathematics categories.
In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.
Stability Analysis Of Neural Networks
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Author : Grienggrai Rajchakit
language : en
Publisher: Springer Nature
Release Date : 2021-12-05
Stability Analysis Of Neural Networks written by Grienggrai Rajchakit and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-05 with Mathematics categories.
This book discusses recent research on the stability of various neural networks with constrained signals. It investigates stability problems for delayed dynamical systems where the main purpose of the research is to reduce the conservativeness of the stability criteria. The book mainly focuses on the qualitative stability analysis of continuous-time as well as discrete-time neural networks with delays by presenting the theoretical development and real-life applications in these research areas. The discussed stability concept is in the sense of Lyapunov, and, naturally, the proof method is based on the Lyapunov stability theory. The present book will serve as a guide to enable the reader in pursuing the study of further topics in greater depth and is a valuable reference for young researcher and scientists.
Integral Manifolds For Impulsive Differential Problems With Applications
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Author : Ivanka Stamova
language : en
Publisher: Academic Press
Release Date : 2025-05-01
Integral Manifolds For Impulsive Differential Problems With Applications written by Ivanka Stamova and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-01 with Mathematics categories.
Integral Manifolds for Impulsive Differential Problems with Applications offers readers a comprehensive resource on integral manifolds for different classes of differential equations which will be of prime importance to researchers in applied mathematics, engineering, and physics. The book offers a highly application-oriented approach, reviewing the qualitative properties of integral manifolds which have significant practical applications in emerging areas such as optimal control, biology, mechanics, medicine, biotechnologies, electronics, and economics. For applied scientists, this will be an important introduction to the qualitative theory of impulsive and fractional equations which will be key in their initial steps towards adopting results and methods in their research. - Offers a comprehensive resource of qualitative results for integral manifolds related to different classes of impulsive differential equations, delayed differential equations and fractional differential equations - Presents the manifestations of different constructive methods, by demonstrating how these effective techniques can be applied to investigate qualitative properties of integral manifolds - Discusses applications to neural networks, fractional biological models, models in population dynamics, and models in economics of diverse fields
Applied Impulsive Mathematical Models
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Author : Ivanka Stamova
language : en
Publisher: Springer
Release Date : 2016-05-05
Applied Impulsive Mathematical Models written by Ivanka Stamova and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-05 with Science categories.
Using the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics. The authors provide the basic background from the fundamental theory and give a systematic exposition of recent results related to the qualitative analysis of impulsive mathematical models. Consisting of six chapters, the book presents many applicable techniques, making them available in a single source easily accessible to researchers interested in mathematical models and their applications. Serving as a valuable reference, this text is addressed to a wide audience of professionals, including mathematicians, applied researchers and practitioners.
Contemporary Methods In Bioinformatics And Biomedicine And Their Applications
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Author : Sotir S. Sotirov
language : en
Publisher: Springer Nature
Release Date : 2022-03-11
Contemporary Methods In Bioinformatics And Biomedicine And Their Applications written by Sotir S. Sotirov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-11 with Technology & Engineering categories.
This book gathers selected papers from the First International Symposium on Bioinformatics and Biomedicine. Issues related to medicine and health care constitute one of the grand challenges faces by the mankind, and this naturally implies a growing interest in these problems among both researchers and scholars, politicians and policymakers, as well as economist. The present values which gather selected papers from the First International Symposium on Bioinformatics and Biomedicine (BioInfoMed’2020) is a recent response to this interests. In the subsequent sections and chapters, it covers a multitude of various topics related to bioinformatics, biomedicine, bioenginering, as well as a broadly perceives healthcare. Issues related to decision making in bioinformatics, biomedicine and health care, mathematical modelling in biomedicine and health care, artificial intelligence in biomedicine and health care, uncertainty and imprecision, notably intuitionistic fuzzy sets with applications in bioinformatics and biomedicine, biomedical approaches and applications, biomedical imaging and image processing, and excitable structures and motor activity are covered.
Non Instantaneous Impulses In Differential Equations
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Author : Ravi Agarwal
language : en
Publisher: Springer
Release Date : 2017-10-27
Non Instantaneous Impulses In Differential Equations written by Ravi Agarwal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-27 with Mathematics categories.
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.
Impulsive Differential Equations And Inclusions
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Author : Mouffak Benchohra
language : en
Publisher: Hindawi Publishing Corporation
Release Date : 2006
Impulsive Differential Equations And Inclusions written by Mouffak Benchohra and has been published by Hindawi Publishing Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Differential equations categories.