Differential Equations With Involutions PDF Download
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Author | : Alberto Cabada |
Publisher | : Springer |
Total Pages | : 160 |
Release | : 2016-01-06 |
Genre | : Mathematics |
ISBN | : 9462391211 |
Download Differential Equations with Involutions Book in PDF, ePub and Kindle
This monograph covers the existing results regarding Green’s functions for differential equations with involutions (DEI).The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential operators. The work combines the state of the art regarding the existence and uniqueness results for DEI and new theorems describing how to obtain Green’s functions, proving that the theory can be extended to operators (not necessarily involutions) of a similar nature, such as the Hilbert transform or projections, due to their analogous algebraic properties. Obtaining a Green’s function for these operators leads to new results on the qualitative properties of the solutions, in particular maximum and antimaximum principles.
Author | : Werner M. Seiler |
Publisher | : Springer Science & Business Media |
Total Pages | : 663 |
Release | : 2009-10-26 |
Genre | : Mathematics |
ISBN | : 3642012876 |
Download Involution Book in PDF, ePub and Kindle
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas.
Author | : Werner M. Seiler |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2012-03-14 |
Genre | : Mathematics |
ISBN | : 9783642261350 |
Download Involution Book in PDF, ePub and Kindle
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas.
Author | : Joseph Wiener |
Publisher | : World Scientific |
Total Pages | : 425 |
Release | : 1993-05-28 |
Genre | : Mathematics |
ISBN | : 9814505110 |
Download Generalized Solutions Of Functional Differential Equations Book in PDF, ePub and Kindle
The need to investigate functional differential equations with discontinuous delays is addressed in this book. Recording the work and findings of several scientists on differential equations with piecewise continuous arguments over the last few years, this book serves as a useful source of reference. Great interest is placed on discussing the stability, oscillation and periodic properties of the solutions. Considerable attention is also given to the study of initial and boundary-value problems for partial differential equations of mathematical physics with discontinuous time delays. In fact, a large part of the book is devoted to the exploration of differential and functional differential equations in spaces of generalized functions (distributions) and contains a wealth of new information in this area. Each topic discussed appears to provide ample opportunity for extending the known results. A list of new research topics and open problems is also included as an update.
Author | : Todor V. Gramchev |
Publisher | : Wiley-VCH |
Total Pages | : 160 |
Release | : 2000-02-22 |
Genre | : Mathematics |
ISBN | : |
Download Partial Differential Equations Book in PDF, ePub and Kindle
The applications of methods from microlocal analysis for PDE have been a fast developing area during the last years. The authors, both are well known in the community, publish for the first time some of their research results in a summarized form. The essential point of the approach is the use of the various types of approximate (asymptotic) solutions in the study of differential equations in the smooth and the Gevrey spaces. In this volume, the authors deal with the following themes: Microlocal properties of pseudodifferential operators with multiple characteristics of involutive type in the framework of the Sobolev spaces; Abstract schemes for constructing approximate solutions to linear partial differential equations with characteristics of constant multiplicity m greater than or equal 2 in the framework of Gevrey spaces; Local solvability, hypoellipticity and singular solutions in Gevrey spaces; Global Gevrey solvability on the torus for linear partial differential equations; Applications of asymptotic methods for local (non)solvability for quasihomogeneous operators; Applications of Airy asymptotic solutions to degenerate oblique derivative problems for second order strictly hyperbolic equations; Approximate Gevrey normal forms of analytic involutions and analytic glancing hypersurfaces with applications for effective stability estimates for billiard ball maps.
Author | : Richard S. Palais |
Publisher | : American Mathematical Soc. |
Total Pages | : 329 |
Release | : 2009-11-13 |
Genre | : Mathematics |
ISBN | : 0821821385 |
Download Differential Equations, Mechanics, and Computation Book in PDF, ePub and Kindle
This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.
Author | : Vladimir I. Arnold |
Publisher | : Springer Science & Business Media |
Total Pages | : 346 |
Release | : 1992-05-08 |
Genre | : Mathematics |
ISBN | : 9783540548133 |
Download Ordinary Differential Equations Book in PDF, ePub and Kindle
Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. From the reviews: "Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW
Author | : G. Anger |
Publisher | : Springer Science & Business Media |
Total Pages | : 266 |
Release | : 1990-06-30 |
Genre | : Science |
ISBN | : 9780306431647 |
Download Inverse Problems in Differential Equations Book in PDF, ePub and Kindle
Elucidates the fundamental mathematical structures of inverse problems, analyzing both the information content and the solution of some inverse problems in which the information content of the coefficients and the source term of a given differential equation is not too large. In order to be accessib
Author | : John M. Rassias |
Publisher | : World Scientific |
Total Pages | : 198 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9789810204617 |
Download Counter Examples in Differential Equations and Related Topics Book in PDF, ePub and Kindle
Based on a semester course taught in Greece for many years to science, engineering, and mathematics students. Discusses continuity and linearity, differentiability and analyticity, extrema, existence, uniqueness, stability, and other topics. The examples are drawn from the literature of the field. Acidic paper. Annotation copyrighted by Book News, Inc., Portland, OR
Author | : David L. Colton |
Publisher | : SIAM |
Total Pages | : 234 |
Release | : 1990-01-01 |
Genre | : Mathematics |
ISBN | : 9780898712520 |
Download Inverse Problems in Partial Differential Equations Book in PDF, ePub and Kindle