Integral Manifolds For Impulsive Differential Problems With Applications
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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
Specific Asymptotic Properties Of The Solutions Of Impulsive Differential Equations Methods And Applications
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Author :
language : en
Publisher: Academic Publication
Release Date :
Specific Asymptotic Properties Of The Solutions Of Impulsive Differential Equations Methods And Applications written by and has been published by Academic Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
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.
Impulsive Differential Equations With A Small Parameter
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Author : Drumi D Bainov
language : en
Publisher: World Scientific
Release Date : 1994-12-16
Impulsive Differential Equations With A Small Parameter written by Drumi D Bainov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-16 with Mathematics categories.
This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In Chapter Three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method.The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities.
Mathematical Modeling Of Discontinuous Processes
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Author : Andrey Antonov
language : en
Publisher: Scientific Research Publishing, Inc. USA
Release Date : 2017-12-19
Mathematical Modeling Of Discontinuous Processes written by Andrey Antonov and has been published by Scientific Research Publishing, Inc. USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.
In this monograph as a mathematical apparatus are used and investigated several classes of differential equations. The most significant feature of these differential equations is the presence of impulsive effects. The main goals and the results achieved in the monograph are related to the use of this class of equation for an adequate description of the dynamics of several types of processes that are subject to discrete external interventions and change the speed of development. In all proposed models the following requirements have met: 1) Presented and studied mathematical models in the book are extensions of existing known in the literature models of real objects and related processes. 2) Generalizations of the studied models are related to the admission of external impulsive effects, which lead to “jump-like” change the quantity characteristics of the described object as well as the rate of its modification. 3) Sufficient conditions which guarantee certain qualities of the dynamics of the quantities of the modeled objects are found. 4) Studies of the qualities of the modification of the modeled objects are possible to be successful by differential equations with variable structure and impulsive effects. 5) The considerations relating to the existence of the studied properties of dynamic objects cannot be realized without introducing new concepts and proving of appropriate theorems. The main objectives can be conditionally divided into several parts: 1) New classes of differential equations with variable structure and impulses are introduced and studied; 2) Specific properties of the above-mentioned class of differential equations are introduced and studied. The present monograph consists of an introduction and seven chapters. Each chapter contains several sections.
Bifurcation Theory Of Impulsive Dynamical Systems
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Author : Kevin E.M. Church
language : en
Publisher: Springer Nature
Release Date : 2021-03-24
Bifurcation Theory Of Impulsive Dynamical Systems written by Kevin E.M. Church and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-24 with Mathematics categories.
This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence. It covers not only smooth local bifurcations, but also some non-smooth bifurcation phenomena that are unique to impulsive dynamical systems. The monograph is split into four distinct parts, independently addressing both finite and infinite-dimensional dynamical systems before discussing their applications. The primary contributions are a rigorous nonautonomous dynamical systems framework and analysis of nonlinear systems, stability, and invariant manifold theory. Special attention is paid to the centre manifold and associated reduction principle, as these are essential to the local bifurcation theory. Specifying to periodic systems, the Floquet theory is extended to impulsive functional differential equations, and this permits an exploration of the impulsive analogues of saddle-node, transcritical, pitchfork and Hopf bifurcations. Readers will learn how techniques of classical bifurcation theory extend to impulsive functional differential equations and, as a special case, impulsive differential equations without delays. They will learn about stability for fixed points, periodic orbits and complete bounded trajectories, and how the linearization of the dynamical system allows for a suitable definition of hyperbolicity. They will see how to complete a centre manifold reduction and analyze a bifurcation at a nonhyperbolic steady state.
Journal Of Analysis And Its Application
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Author :
language : en
Publisher:
Release Date : 1999
Journal Of Analysis And Its Application written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematical analysis categories.
Smart Applications With Advanced Machine Learning And Human Centred Problem Design
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Author : D. Jude Hemanth
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Smart Applications With Advanced Machine Learning And Human Centred Problem Design written by D. Jude Hemanth and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Technology & Engineering categories.
This book brings together the most recent, quality research papers accepted and presented in the 3rd International Conference on Artificial Intelligence and Applied Mathematics in Engineering (ICAIAME 2021) held in Antalya, Turkey between 1-3 October 2021. Objective of the content is to provide important and innovative research for developments-improvements within different engineering fields, which are highly interested in using artificial intelligence and applied mathematics. As a collection of the outputs from the ICAIAME 2021, the book is specifically considering research outcomes including advanced use of machine learning and careful problem designs on human-centred aspects. In this context, it aims to provide recent applications for real-world improvements making life easier and more sustainable for especially humans. The book targets the researchers, degree students, and practitioners from both academia and the industry.
Operators Of Fractional Calculus And Their Applications
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Author : Hari Mohan Srivastava (Ed.)
language : en
Publisher: MDPI
Release Date : 2019-01-16
Operators Of Fractional Calculus And Their Applications written by Hari Mohan Srivastava (Ed.) and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-16 with Mathematics categories.
This book is a printed edition of the Special Issue "Operators of Fractional Calculus and Their Applications" that was published in Mathematics
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2002
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.