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Differential Equations in Abstract Spaces

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Release : 1972-06-16
Genre : Computers
Kind : eBook
Book Rating : 940/5 ( reviews)

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Book Synopsis Differential Equations in Abstract Spaces by : Lakshmikantham

Download or read book Differential Equations in Abstract Spaces written by Lakshmikantham. This book was released on 1972-06-16. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations in Abstract Spaces

Nonlinear Differential Equations in Abstract Spaces

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Release : 1981
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Nonlinear Differential Equations in Abstract Spaces by : V. Lakshmikantham

Download or read book Nonlinear Differential Equations in Abstract Spaces written by V. Lakshmikantham. This book was released on 1981. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in partial differential equations which arise from physical models can be considered as ordinary differential equations in appropriate infinite dimensional spaces, for which elegant theories and powerful techniques have recently been developed. This book gives a detailed account of the current state of the theory of nonlinear differential equations in a Banach space, and discusses existence theory for differential equations with continuous and discontinuous right-hand sides. Of special importance is the first systematic presentation of the very important and complex theory of multivalued discontinuous differential equations

Generalized Ordinary Differential Equations in Abstract Spaces and Applications

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Release : 2021-09-15
Genre : Mathematics
Kind : eBook
Book Rating : 939/5 ( reviews)

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Book Synopsis Generalized Ordinary Differential Equations in Abstract Spaces and Applications by : Everaldo M. Bonotto

Download or read book Generalized Ordinary Differential Equations in Abstract Spaces and Applications written by Everaldo M. Bonotto. This book was released on 2021-09-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Solution Sets of Differential Equations in Abstract Spaces

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Release : 1996-04-03
Genre : Mathematics
Kind : eBook
Book Rating : 509/5 ( reviews)

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Book Synopsis Solution Sets of Differential Equations in Abstract Spaces by : Robert Dragoni

Download or read book Solution Sets of Differential Equations in Abstract Spaces written by Robert Dragoni. This book was released on 1996-04-03. Available in PDF, EPUB and Kindle. Book excerpt: This book presents results on the geometric/topological structure of the solution set S of an initial-value problem x(t) = f(t, x(t)), x(0) =xo, when f is a continuous function with values in an infinite-dimensional space. A comprehensive survey of existence results and the properties of S, e.g. when S is a connected set, a retract, an acyclic set, is presented. The authors also survey results onthe properties of S for initial-value problems involving differential inclusions, and for boundary-value problems. This book will be of particular interest to researchers in ordinary and partial differential equations and some workers in control theory.

Stochastic Stability of Differential Equations in Abstract Spaces

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Release : 2019-05-02
Genre : Mathematics
Kind : eBook
Book Rating : 170/5 ( reviews)

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Book Synopsis Stochastic Stability of Differential Equations in Abstract Spaces by : Kai Liu

Download or read book Stochastic Stability of Differential Equations in Abstract Spaces written by Kai Liu. This book was released on 2019-05-02. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unified treatment of stochastic differential equations in abstract, mainly Hilbert, spaces.

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