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Author : R. E. Gaines
Publisher : Springer
ISBN 13 : 3540375015
Total Pages : 267 pages
Book Rating : 4.5/5 (43 download)
Download or read book Coincidence Degree and Nonlinear Differential Equations written by R. E. Gaines and published by Springer. This book was released on 2006-11-15 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. E. Gaines
Publisher :
ISBN 13 : 9783662168806
Total Pages : 276 pages
Book Rating : 4.1/5 (688 download)
Download or read book Coincidence Degree and Nonlinear Differential Equations written by R. E. Gaines and published by . This book was released on 2014-01-15 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert E. Gaines
Publisher :
ISBN 13 : 9780387080673
Total Pages : 262 pages
Book Rating : 4.0/5 (86 download)
Download or read book Coincidence Degree and Nonlinear Differential Equations written by Robert E. Gaines and published by . This book was released on 1964 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Canada
Publisher : Elsevier
ISBN 13 : 0080463819
Total Pages : 753 pages
Book Rating : 4.0/5 (84 download)
Download or read book Handbook of Differential Equations: Ordinary Differential Equations written by A. Canada and published by Elsevier. This book was released on 2006-08-21 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience. These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for reseach, learing and teaching. This volumes consists of seven chapters covering a variety of problems in ordinary differential equations. Both pure mathematical research and real word applications are reflected by the contributions to this volume. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real world applications - Written for mathematicians and scientists of many related fields
Author : Johnny L Henderson
Publisher : World Scientific
ISBN 13 : 9814499846
Total Pages : 324 pages
Book Rating : 4.8/5 (144 download)
Download or read book Boundary Value Problems For Functional Differential Equations written by Johnny L Henderson and published by World Scientific. This book was released on 1995-10-12 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional differential equations have received attention since the 1920's. Within that development, boundary value problems have played a prominent role in both the theory and applications dating back to the 1960's. This book attempts to present some of the more recent developments from a cross-section of views on boundary value problems for functional differential equations.Contributions represent not only a flavor of classical results involving, for example, linear methods and oscillation-nonoscillation techiques, but also modern nonlinear methods for problems involving stability and control as well as cone theoretic, degree theoretic, and topological transversality strategies. A balance with applications is provided through a number of papers dealing with a pendulum with dry friction, heat conduction in a thin stretched resistance wire, problems involving singularities, impulsive systems, traveling waves, climate modeling, and economic control.With the importance of boundary value problems for functional differential equations in applications, it is not surprising that as new applications arise, modifications are required for even the definitions of the basic equations. This is the case for some of the papers contributed by the Perm seminar participants. Also, some contributions are devoted to delay Fredholm integral equations, while a few papers deal with what might be termed as boundary value problems for delay-difference equations.
Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111233871
Total Pages : 576 pages
Book Rating : 4.1/5 (112 download)
Download or read book Metrical Almost Periodicity and Applications to Integro-Differential Equations written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hansjörg Kielhöfer
Publisher : Springer Science & Business Media
ISBN 13 : 1461405025
Total Pages : 406 pages
Book Rating : 4.4/5 (614 download)
Download or read book Bifurcation Theory written by Hansjörg Kielhöfer and published by Springer Science & Business Media. This book was released on 2011-11-13 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations. The second edition is substantially and formally revised and new material is added. Among this is bifurcation with a two-dimensional kernel with applications, the buckling of the Euler rod, the appearance of Taylor vortices, the singular limit process of the Cahn-Hilliard model, and an application of this method to more complicated nonconvex variational problems.
Author : Klaus Deimling
Publisher : Courier Corporation
ISBN 13 : 0486132358
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)
Download or read book Nonlinear Functional Analysis written by Klaus Deimling and published by Courier Corporation. This book was released on 2013-10-09 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. 1985 edition.
Author : Everaldo M. Bonotto
Publisher : John Wiley & Sons
ISBN 13 : 1119655005
Total Pages : 512 pages
Book Rating : 4.1/5 (196 download)
Download or read book Generalized Ordinary Differential Equations in Abstract Spaces and Applications written by Everaldo M. Bonotto and published by John Wiley & Sons. This book was released on 2021-08-26 with total page 512 pages. 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.
Author : William O. Bray
Publisher : CRC Press
ISBN 13 : 1000153681
Total Pages : 468 pages
Book Rating : 4.0/5 (1 download)
Download or read book Fourier Analysis written by William O. Bray and published by CRC Press. This book was released on 2020-12-17 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more.
Author : Yeol Je Cho
Publisher : Nova Publishers
ISBN 13 : 9781594548765
Total Pages : 184 pages
Book Rating : 4.5/5 (487 download)
Download or read book Differential Equations and Applications, Volume 4 written by Yeol Je Cho and published by Nova Publishers. This book was released on 2007-07-02 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to introduce new topics on the areas of difference, differential, integrodifferential and integral equations, evolution equations, control and optimisation theory, dynamic system theory, queuing theory and electromagnetism and their applications.
Author : Alessandro Fonda
Publisher : Birkhäuser
ISBN 13 : 3319470906
Total Pages : 314 pages
Book Rating : 4.3/5 (194 download)
Download or read book Playing Around Resonance written by Alessandro Fonda and published by Birkhäuser. This book was released on 2016-11-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. All important and interesting aspects of the theory of periodic solutions of ordinary differential equations related to the physical and mathematical question of resonance are treated. The author has chosen as a model example the periodic problem for a second order scalar differential equation. In a paedagogical style the author takes the reader step by step from the basics to the most advanced existence results in the field.
Author : Ivanka Stamova
Publisher : Walter de Gruyter
ISBN 13 : 3110221829
Total Pages : 241 pages
Book Rating : 4.1/5 (12 download)
Download or read book Stability Analysis of Impulsive Functional Differential Equations written by Ivanka Stamova and published by Walter de Gruyter. This book was released on 2009-10-16 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researches and practitioners.
Author : O. Arino
Publisher : Springer Science & Business Media
ISBN 13 : 1402036477
Total Pages : 596 pages
Book Rating : 4.4/5 (2 download)
Download or read book Delay Differential Equations and Applications written by O. Arino and published by Springer Science & Business Media. This book was released on 2007-01-07 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book groups material that was used for the Marrakech 2002 School on Delay Di?erential Equations and Applications. The school was held from September 9-21 2002 at the Semlalia College of Sciences of the Cadi Ayyad University, Marrakech, Morocco. 47 participants and 15 instructors originating from 21 countries attended the school. Fin- cial limitations only allowed support for part of the people from Africa andAsiawhohadexpressedtheirinterestintheschoolandhadhopedto come. Theschoolwassupportedby?nancementsfromNATO-ASI(Nato advanced School), the International Centre of Pure and Applied Mat- matics (CIMPA, Nice, France) and Cadi Ayyad University. The activity of the school consisted in courses, plenary lectures (3) and communi- tions (9), from Monday through Friday, 8. 30 am to 6. 30 pm. Courses were divided into units of 45mn duration, taught by block of two units, with a short 5mn break between two units within a block, and a 25mn break between two blocks. The school was intended for mathematicians willing to acquire some familiarity with delay di?erential equations or enhance their knowledge on this subject. The aim was indeed to extend the basic set of knowledge, including ordinary di?erential equations and semilinearevolutionequations, suchasforexamplethedi?usion-reaction equations arising in morphogenesis or the Belouzov-Zhabotinsky ch- ical reaction, and the classic approach for the resolution of these eq- tions by perturbation, to equations having in addition terms involving past values of the solution.
Author : V. Lakshmikantham
Publisher : Elsevier
ISBN 13 : 1483272052
Total Pages : 1062 pages
Book Rating : 4.4/5 (832 download)
Download or read book Nonlinear Phenomena in Mathematical Sciences written by V. Lakshmikantham and published by Elsevier. This book was released on 2014-05-12 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20,1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.
Author : Wolodymyr V. Petryshyn
Publisher : Cambridge University Press
ISBN 13 : 0521444748
Total Pages : 252 pages
Book Rating : 4.5/5 (214 download)
Download or read book Generalized Topological Degree and Semilinear Equations written by Wolodymyr V. Petryshyn and published by Cambridge University Press. This book was released on 1995-09-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes many new results and extensions of the theory of generalized topological degree for densely defined A-proper operators and presents important applications, particularly to boundary value problems of nonlinear ordinary and partial differential equations that are intractable under any other existing theory. A-proper mappings arise naturally in the solution to an equation in infinite dimensional space via the finite dimensional approximation. The theory subsumes classical theory involving compact vector fields as well as the more recent theories of condensing vector-fields, strongly monotone, and strongly accretive maps. Researchers and graduate students in mathematics, applied mathematics, and physics who make use of nonlinear analysis will find this an important resource for new techniques.
Author : Andrzej Granas
Publisher : Springer Science & Business Media
ISBN 13 : 9401103399
Total Pages : 531 pages
Book Rating : 4.4/5 (11 download)
Download or read book Topological Methods in Differential Equations and Inclusions written by Andrzej Granas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions". This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together a considerable group of young researchers from various parts of the world and to present to them coherent surveys of some of the most recent advances in this area of Nonlinear Analysis. During the meeting 89 mathematicians from 20 countries have had the opportunity to get acquainted with various aspects of the subjects treated in the lectures as well as the chance to exchange ideas and learn about new problems arising in the field. The main topics teated in this ASI were the following: Fixed point theory for single- and multi-valued mappings including topological degree and its generalizations, and topological transversality theory; existence and multiplicity results for ordinary differential equations and inclusions; bifurcation and stability problems; ordinary differential equations in Banach spaces; second order differential equations on manifolds; the topological structure of the solution set of differential inclusions; effects of delay perturbations on dynamics of retarded delay differential equations; dynamics of reaction diffusion equations; non smooth critical point theory and applications to boundary value problems for quasilinear elliptic equations.
