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Generalized Ordinary Differential Equations in Abstract Spaces and Applications

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Book Hero Magic crafted this summary to help describe this book. While it's new and still learning, it may not be perfect - your feedback is welcome! Summary
Generalized Ordinary Differential Equations in Abstract Spaces and Applications explores the nuanced world of differential equations, focusing on their behaviour and solutions within abstract mathematical spaces. It delves into the theoretical frameworks that support these equations, examining their applicability across various scientific and nature-based fields. The work is both rigorous and insightful, aimed at readers with a deep interest in mathematical sciences.
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Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! Description

GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES AND APPLICATIONS

Explore a unified view of differential equations through the use of the generalized ODE from leading academics in mathematics.

Generalized Ordinary Differential Equations in Abstract Spaces and Applications delivers a comprehensive treatment of new results of the theory of Generalized ODEs in abstract spaces. The book covers applications to other types of differential equations, including Measure Functional Differential Equations (measure FDEs). It presents a uniform collection of qualitative results of Generalized ODEs and offers readers an introduction to several theories, including ordinary differential equations, impulsive differential equations, functional differential equations, dynamical equations on time scales, and more.

Throughout the book, the focus is on qualitative theory and on corresponding results for other types of differential equations, as well as the connection between Generalized Ordinary Differential Equations and impulsive differential equations, functional differential equations, measure differential equations and dynamic equations on time scales. The book’s descriptions will be of use in many mathematical contexts, as well as in the social and natural sciences. Readers will also benefit from the inclusion of:

  • A thorough introduction to regulated functions, including their basic properties, equiregulated sets, uniform convergence, and relatively compact sets
  • An exploration of the Kurzweil integral, including its definitions and basic properties
  • A discussion of measure functional differential equations, including impulsive measure FDEs
  • The interrelationship between generalized ODEs and measure FDEs
  • A treatment of the basic properties of generalized ODEs, including the existence and uniqueness of solutions, and prolongation and maximal solutions

Perfect for researchers and graduate students in Differential Equations and Dynamical Systems, Generalized Ordinary Differential Equations in Abstract Spaces and Applications will also earn a place in the libraries of advanced undergraduate students taking courses in the subject and hoping to move onto graduate studies.

Book Details

INFORMATION

ISBN: 9781119654933

Publisher: John Wiley & Sons Inc

Format: Hardback

Date Published: 10 September 2021

Country: United States

Imprint: John Wiley & Sons Inc

Contributors:

  • Edited by Everaldo M. Bonotto
  • Edited by Márcia Federson
  • Edited by Jaqueline G. Mesquita

Audience: Professional and scholarly

DIMENSIONS

Spine width: 10.0mm

Width: 10.0mm

Height: 10.0mm

Weight: 454g

Pages: 512

Collections

Education & Reference Non-Fiction Science & Nature

About the Author

Everaldo M. Bonotto, PhD, is Associate Professor in the Department of ­Applied Mathematics and Statistics, at ICMC-Universidade de São Paulo, São Carlos, SP, Brazil.

Márcia Federson, PhD, is Full Professor in the Department of Mathematics at ICMC-Universidade de São Paulo, São Carlos, SP, Brazil.

Jaqueline G. Mesquita, PhD, is Assistant Professor at Department of Mathematics at the University of Brasília, Brasília, DF, Brazil.

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