Differential Equations With Discontinuous Righthand Sides
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Author | : A.F. Filippov |
Publisher | : Springer Science & Business Media |
Total Pages | : 315 |
Release | : 2013-11-22 |
Genre | : Mathematics |
ISBN | : 9401577935 |
Download Differential Equations with Discontinuous Righthand Sides Book in PDF, Epub and Kindle
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author | : T. L. Herdman |
Publisher | : |
Total Pages | : 10 |
Release | : 1978 |
Genre | : |
ISBN | : |
Download Functional Differential Equations with Discontinuous Right Hand Side Book in PDF, Epub and Kindle
Author | : Nikolai A. Perestyuk |
Publisher | : Walter de Gruyter |
Total Pages | : 325 |
Release | : 2011-07-27 |
Genre | : Mathematics |
ISBN | : 3110218178 |
Download Differential Equations with Impulse Effects Book in PDF, Epub and Kindle
Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected. Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccuracy or incompleteness of information, action of bounded perturbations, violation of unique solvability conditions, etc. Differential inclusions also allow one to describe the dynamics of controlled processes and are widely used in the theory of optimal control. This monograph is devoted to the investigation of impulsive differential equations with set-valued and discontinuous right-hand sides. It is intended for researchers, lecturers, postgraduate students, and students of higher schools specialized in the field of the theory of differential equations, the theory of optimal control, and their applications.
Author | : Ward Conrad Sangren |
Publisher | : |
Total Pages | : 158 |
Release | : 1953 |
Genre | : Boundary value problems |
ISBN | : |
Download Differential Equations with Discontinuous Coefficients Book in PDF, Epub and Kindle
Author | : David E. Stewart |
Publisher | : |
Total Pages | : 372 |
Release | : 1990 |
Genre | : Differential equations |
ISBN | : |
Download High Accuracy Numerical Methods for Ordinary Differential Equations with Discontinuous Right-hand Side Book in PDF, Epub and Kindle
Author | : Klaus Deimling |
Publisher | : Walter de Gruyter |
Total Pages | : 273 |
Release | : 2011-07-22 |
Genre | : Mathematics |
ISBN | : 3110874229 |
Download Multivalued Differential Equations Book in PDF, Epub and Kindle
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.
Author | : S. Heikkilä |
Publisher | : |
Total Pages | : 8 |
Release | : 1988 |
Genre | : |
ISBN | : |
Download On Functional Differential Equations with Discontinuous Right Hand Side in Ordered Banach Spaces Book in PDF, Epub and Kindle
Author | : Walter A. Strauss |
Publisher | : John Wiley & Sons |
Total Pages | : 467 |
Release | : 2007-12-21 |
Genre | : Mathematics |
ISBN | : 0470054565 |
Download Partial Differential Equations Book in PDF, Epub and Kindle
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 | : Alexander Komech |
Publisher | : Springer |
Total Pages | : 165 |
Release | : 2009-09-23 |
Genre | : Mathematics |
ISBN | : 1441910964 |
Download Principles of Partial Differential Equations Book in PDF, Epub and Kindle
This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The theoretical part is rigorous and with important details presented with care. Hints are provided to help the reader restore the arguments to their full rigor. Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.
Author | : Simo Särkkä |
Publisher | : Cambridge University Press |
Total Pages | : 327 |
Release | : 2019-05-02 |
Genre | : Business & Economics |
ISBN | : 1316510085 |
Download Applied Stochastic Differential Equations Book in PDF, Epub and Kindle
With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.