Volterra Stieltjes Integral Equations And Generalized Ordinary Differential Expressions PDF Download
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Author | : A.B. Mingarelli |
Publisher | : Springer |
Total Pages | : 333 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540398651 |
Download Volterra-Stieltjes Integral Equations and Generalized Ordinary Differential Expressions Book in PDF, ePub and Kindle
Author | : Angelo Mingarelli |
Publisher | : |
Total Pages | : 317 |
Release | : 1983 |
Genre | : |
ISBN | : |
Download Volterra-Stieltjes Integral Equations and Generalized Ordinary Differential Expressions Book in PDF, ePub and Kindle
Author | : Angelo B. Mingarelli |
Publisher | : |
Total Pages | : 317 |
Release | : 1983 |
Genre | : |
ISBN | : |
Download Volterra-Stieltjes Integral Equations and Generalized Ordinary Differential Expresions Book in PDF, ePub and Kindle
Author | : Angelo B. (Angelo Bernardo) Mingarelli |
Publisher | : c1979. |
Total Pages | : 630 |
Release | : 1979 |
Genre | : |
ISBN | : |
Download Volterra-stieltjes Integral Equations and Generalized Differential Expressions Book in PDF, ePub and Kindle
Author | : |
Publisher | : Elsevier |
Total Pages | : 169 |
Release | : 2011-09-21 |
Genre | : Mathematics |
ISBN | : 0080871275 |
Download Volterra Stieltjes-Integral Equations Book in PDF, ePub and Kindle
Volterra Stieltjes-Integral Equations
Author | : Everaldo M. Bonotto |
Publisher | : John Wiley & Sons |
Total Pages | : 514 |
Release | : 2021-09-15 |
Genre | : Mathematics |
ISBN | : 1119654939 |
Download Generalized Ordinary Differential Equations in Abstract Spaces and Applications Book in PDF, ePub and Kindle
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.
Author | : Jaroslav Kurzweil |
Publisher | : World Scientific |
Total Pages | : 208 |
Release | : 2012-01-27 |
Genre | : Mathematics |
ISBN | : 9814462993 |
Download Generalized Ordinary Differential Equations: Not Absolutely Continuous Solutions Book in PDF, ePub and Kindle
This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is suitable in situations where fast oscillations occur.
Author | : Theodore Allen Burton |
Publisher | : Elsevier |
Total Pages | : 369 |
Release | : 2005-05-21 |
Genre | : Mathematics |
ISBN | : 0444517863 |
Download Volterra Integral and Differential Equations Book in PDF, ePub and Kindle
Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general problems. Thus, the presentation starts slowly with very familiar concepts and shows how these are generalized in a natural way to problems involving a memory. Liapunov's direct method is gently introduced and applied to many particular examples in ordinary differential equations, Volterra integro-differential equations, and functional differential equations. By Chapter 7 the momentum has built until we are looking at problems on the frontier. Chapter 7 is entirely new, dealing with fundamental problems of the resolvent, Floquet theory, and total stability. Chapter 8 presents a solid foundation for the theory of functional differential equations. Many recent results on stability and periodic solutions of functional differential equations are given and unsolved problems are stated. Smooth transition from ordinary differential equations to integral and functional differential equations Unification of the theories, methods, and applications of ordinary and functional differential equations Large collection of examples of Liapunov functions Description of the history of stability theory leading up to unsolved problems Applications of the resolvent to stability and periodic problems
Author | : ?tefan Schwabik |
Publisher | : World Scientific |
Total Pages | : 400 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 9789810212254 |
Download Generalized Ordinary Differential Equations Book in PDF, ePub and Kindle
The contemporary approach of J Kurzweil and R Henstock to the Perron integral is applied to the theory of ordinary differential equations in this book. It focuses mainly on the problems of continuous dependence on parameters for ordinary differential equations. For this purpose, a generalized form of the integral based on integral sums is defined. The theory of generalized differential equations based on this integral is then used, for example, to cover differential equations with impulses or measure differential equations. Solutions of generalized differential equations are found to be functions of bounded variations.The book may be used for a special undergraduate course in mathematics or as a postgraduate text. As there are currently no other special research monographs or textbooks on this topic in English, this book is an invaluable reference text for those interested in this field.
Author | : Ravi P. Agarwal |
Publisher | : CRC Press |
Total Pages | : 339 |
Release | : 2000-03-09 |
Genre | : Mathematics |
ISBN | : 1482287463 |
Download Integral and Integrodifferential Equations Book in PDF, ePub and Kindle
This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction.