Generalized Ordinary Differential Equations in Abstract Spaces and Applications - Rilegato

Rilegato

ISBN 10: 1119654939 ISBN 13: 9781119654933

Casa editrice: Wiley, 2021

Riassunto

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.

Su questo libro

Informazioni sull?autore

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

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

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

Dalla quarta di copertina

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.

Dettagli dell?edizione

• Editore: Wiley
• Data di pubblicazione: 2021
• Lingua: Inglese
• ISBN 10: 1119654939
• ISBN 13: 9781119654933
• Rilegatura: Copertina rigida
• Numero di pagine: 506
• Redattore: Bonotto Everaldo M., Federson Marcia, Mesquita Jaqueline G.
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile