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Author : Alessandro Fonda
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.F/5 ( download)
Download or read book Periodic Solutions of Scalar Second Order Differential Equations with a Singularity written by Alessandro Fonda and published by . This book was released on 1993 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karl P. Hadeler
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (755 download)
Download or read book Periodic solutions of scalar first order differential equations written by Karl P. Hadeler and published by . This book was released on 1991 with total page 14 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 : Warren Simms Loud
Publisher : American Mathematical Soc.
ISBN 13 : 0821812475
Total Pages : 137 pages
Book Rating : 4.8/5 (218 download)
Download or read book Periodic Solutions of Perturbed Second-Order Autonomous Equations written by Warren Simms Loud and published by American Mathematical Soc.. This book was released on 1964 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pablo Amster
Publisher : Springer Nature
ISBN 13 : 3031613376
Total Pages : 220 pages
Book Rating : 4.0/5 (316 download)
Download or read book Topological Methods for Delay and Ordinary Differential Equations written by Pablo Amster and published by Springer Nature. This book was released on with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Irena Rachunkova
Publisher : Hindawi Publishing Corporation
ISBN 13 : 9774540409
Total Pages : 279 pages
Book Rating : 4.7/5 (745 download)
Download or read book Solvability of Nonlinear Singular Problems for Ordinary Differential Equations written by Irena Rachunkova and published by Hindawi Publishing Corporation. This book was released on 2009 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Denis Bonheure
Publisher : Presses univ. de Louvain
ISBN 13 : 293034475X
Total Pages : 218 pages
Book Rating : 4.9/5 (33 download)
Download or read book A Study of Heteroclinic Orbits for a Class of Fourth Order Ordinary Differential Equations written by Denis Bonheure and published by Presses univ. de Louvain. This book was released on 2004 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: In qualitative theory of differential equations, an important role is played by special classes of solutions, like periodic solutions or solutions to some boundary value problems. When a system of ordinary differential equations has equilibria, i.e. constant solutions, whose stability properties are known, it is significant to search for connections between them by trajectories of solutions of the given system. These are called homoclinic or heteroclinic, according to whether they describe a loop based at one single equilibrium or they "start" and "end" at two distinct equilibria. This thesis is devoted to the study of heteroclinic solutions for a specific class of ordinary differential equations related to the Extended Fisher-Kolmogorov equation and the Swift-Hohenberg equation. These are semilinear fourth order bi-stable evolution equations which appear as mathematical models for problems arising in Mechanics, Chemistry and Biology. For such equations, the set of bounded stationary solutions is of great interest. These solve an autonomous fourth order equation. In this thesis, we focus on such equations having a variational structure. In that case, the solutions are critical points of an associated action functional defined in convenient functional spaces. We then look for heteroclinic solutions as minimizers of the action functional. Our main contributions concern existence and multiplicity results of such global and local minimizers in the case where the functional is defined from sign changing Lagrangians. The underlying idea is to impose conditions which imply a lower bound on the action over all admissible functions. We then combine classical arguments of the Calculus of Variations with careful estimates on minimizing sequences to prove the existence of a minimum.
Author : C. De Coster
Publisher : Elsevier
ISBN 13 : 0080462472
Total Pages : 502 pages
Book Rating : 4.0/5 (84 download)
Download or read book Two-Point Boundary Value Problems: Lower and Upper Solutions written by C. De Coster and published by Elsevier. This book was released on 2006-03-21 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction.· Presents the fundamental features of the method· Construction of lower and upper solutions in problems· Working applications and illustrated theorems by examples· Description of the history of the method and Bibliographical notes
Author :
Publisher :
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.3/5 (91 download)
Download or read book Rapport written by and published by . This book was released on 2002 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leopold Flatto
Publisher :
ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.:/5 (313 download)
Download or read book Periodic Solutions Associated with Singular Perturbations of a System of Non-linear Differential Equations written by Leopold Flatto and published by . This book was released on 1955 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)
Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author : Pedro J. Torres
Publisher : Springer
ISBN 13 : 9462391068
Total Pages : 130 pages
Book Rating : 4.4/5 (623 download)
Download or read book Mathematical Models with Singularities written by Pedro J. Torres and published by Springer. This book was released on 2015-01-22 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to provide an unifying view of a variety (a 'zoo') of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Up to 11 different concrete models are analyzed in separate chapters. Each chapter starts with a discussion of the basic model and its physical significance. Then the main results and typical proofs are outlined, followed by open problems. Each chapter is closed by a suitable list of references. The book may serve as a guide for researchers interested in the modelling of real world processes.
Author :
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.X/5 (4 download)
Download or read book Séminaire de mathématique written by and published by . This book was released on 2002 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 636 pages
Book Rating : 4.3/5 (91 download)
Download or read book Differential and Integral Equations written by and published by . This book was released on 1995 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 978 pages
Book Rating : 4.X/5 (4 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1975 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerald Teschl
Publisher : American Mathematical Society
ISBN 13 : 147047641X
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)
Download or read book Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl and published by American Mathematical Society. This book was released on 2024-01-12 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm–Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincaré–Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman–Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.
Author : Yoshiyuki Hino
Publisher : CRC Press
ISBN 13 : 9780415272667
Total Pages : 276 pages
Book Rating : 4.2/5 (726 download)
Download or read book Almost Periodic Solutions of Differential Equations in Banach Spaces written by Yoshiyuki Hino and published by CRC Press. This book was released on 2001-10-25 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with an original decomposition technique. The book also extends classical techniques, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations. Almost Periodic Solutions of Differential Equations in Banach Spaces will appeal to anyone working in mathematical analysis.
