Functional Differential Equations With Discontinuous Right Hand Side
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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 | : A.F. Filippov |
Publisher | : Springer Science & Business Media |
Total Pages | : 322 |
Release | : 1988-09-30 |
Genre | : Mathematics |
ISBN | : 9789027726995 |
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 | : 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 | : 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 | : C. Corduneanu |
Publisher | : CRC Press |
Total Pages | : 185 |
Release | : 2002-09-05 |
Genre | : Mathematics |
ISBN | : 020316637X |
Download Functional Equations with Causal Operators Book in PDF, Epub and Kindle
Functional equations encompass most of the equations used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument, and integro-differential equations of the Volterra type. The basic theory of functional equations includes functional differential equations with cau
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 | : V. Kolmanovskii |
Publisher | : Springer Science & Business Media |
Total Pages | : 246 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401580847 |
Download Applied Theory of Functional Differential Equations Book in PDF, Epub and Kindle
This volume provides an introduction to the properties of functional differential equations and their applications in diverse fields such as immunology, nuclear power generation, heat transfer, signal processing, medicine and economics. In particular, it deals with problems and methods relating to systems having a memory (hereditary systems). The book contains eight chapters. Chapter 1 explains where functional differential equations come from and what sort of problems arise in applications. Chapter 2 gives a broad introduction to the basic principle involved and deals with systems having discrete and distributed delay. Chapters 3-5 are devoted to stability problems for retarded, neutral and stochastic functional differential equations. Problems of optimal control and estimation are considered in Chapters 6-8. For applied mathematicians, engineers, and physicists whose work involves mathematical modeling of hereditary systems. This volume can also be recommended as a supplementary text for graduate students who wish to become better acquainted with the properties and applications of functional differential equations.
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 | : 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.