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Author : Jack K. Hale
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.F/5 ( download)
Download or read book A Class of Functional Equations of Neutral Type written by Jack K. Hale and published by . This book was released on 1967 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Prasanna K. Sahoo
Publisher : CRC Press
ISBN 13 : 1439841160
Total Pages : 465 pages
Book Rating : 4.4/5 (398 download)
Download or read book Introduction to Functional Equations written by Prasanna K. Sahoo and published by CRC Press. This book was released on 2011-02-08 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values. In order to make the presentation as manageable as p
Author : Janusz Brzdęk
Publisher : Springer
ISBN 13 : 331961732X
Total Pages : 354 pages
Book Rating : 4.3/5 (196 download)
Download or read book Developments in Functional Equations and Related Topics written by Janusz Brzdęk and published by Springer. This book was released on 2017-08-14 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents current research on Ulam stability for functional equations and inequalities. Contributions from renowned scientists emphasize fundamental and new results, methods and techniques. Detailed examples are given to theories to further understanding at the graduate level for students in mathematics, physics, and engineering. Key topics covered in this book include: Quasi means Approximate isometries Functional equations in hypergroups Stability of functional equations Fischer-Muszély equation Haar meager sets and Haar null sets Dynamical systems Functional equations in probability theory Stochastic convex ordering Dhombres functional equation Nonstandard analysis and Ulam stability This book is dedicated in memory of Staniłsaw Marcin Ulam, who posed the fundamental problem concerning approximate homomorphisms of groups in 1940; which has provided the stimulus for studies in the stability of functional equations and inequalities.
Author :
Publisher :
ISBN 13 : 9814471720
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Analytic Solutions of Functional Equations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael I. Gil'
Publisher : Springer
ISBN 13 : 9462390916
Total Pages : 311 pages
Book Rating : 4.4/5 (623 download)
Download or read book Stability of Neutral Functional Differential Equations written by Michael I. Gil' and published by Springer. This book was released on 2014-10-08 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the author presents explicit conditions for the exponential, absolute and input-to-state stabilities including solution estimates of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the positivity of fundamental solutions. A significant part of the book is especially devoted to the solution of the generalized Aizerman problem.
Author : Jack K. Hale
Publisher : Springer Science & Business Media
ISBN 13 : 146129892X
Total Pages : 374 pages
Book Rating : 4.4/5 (612 download)
Download or read book Theory of Functional Differential Equations written by Jack K. Hale and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre hensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research. The following chapters were not discussed in my original notes. Chapter 1 is an elementary presentation of linear differential difference equations with constant coefficients of retarded and neutral type. Chapter 4 develops the recent theory of dissipative systems. Chapter 9 is a new chapter on perturbed systems. Chapter 11 is a new presentation incorporating recent results on the existence of periodic solutions of autonomous equations. Chapter 12 is devoted entirely to neutral equations. Chapter 13 gives an introduction to the global and generic theory. There is also an appendix on the location of the zeros of characteristic polynomials. The remainder of the material has been completely revised and updated with the most significant changes occurring in Chapter 3 on the properties of solutions, Chapter 5 on stability, and Chapter lOon behavior near a periodic orbit.
Author : C. Corduneanu
Publisher : CRC Press
ISBN 13 : 020316637X
Total Pages : 185 pages
Book Rating : 4.2/5 (31 download)
Download or read book Functional Equations with Causal Operators written by C. Corduneanu and published by CRC Press. This book was released on 2002-09-05 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Chukwu
Publisher : Academic Press
ISBN 13 : 0080958745
Total Pages : 507 pages
Book Rating : 4.0/5 (89 download)
Download or read book Stability and Time-Optimal Control of Hereditary Systems written by Chukwu and published by Academic Press. This book was released on 1992-05-22 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability and Time-Optimal Control of Hereditary Systems
Author : John Michael Rassias
Publisher : World Scientific Publishing Company
ISBN 13 : 9813147628
Total Pages : 396 pages
Book Rating : 4.8/5 (131 download)
Download or read book Functional Equations and Inequalities written by John Michael Rassias and published by World Scientific Publishing Company. This book was released on 2017-03-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations. Request Inspection Copy
Author : Antal Járai
Publisher : Springer Science & Business Media
ISBN 13 : 038724414X
Total Pages : 367 pages
Book Rating : 4.3/5 (872 download)
Download or read book Regularity Properties of Functional Equations in Several Variables written by Antal Járai and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the basic ideas of regularity properties of functional equations by simple examples. It then treats most of the modern results about regularity of non-composite functional equations of several variables in a unified fashion. A long introduction highlights the basic ideas for beginners and several applications are also included.
Author : Constantin Corduneanu
Publisher : John Wiley & Sons
ISBN 13 : 1119189489
Total Pages : 368 pages
Book Rating : 4.1/5 (191 download)
Download or read book Functional Differential Equations written by Constantin Corduneanu and published by John Wiley & Sons. This book was released on 2016-03-25 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features: • Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types • Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines • Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay • An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity • An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and difference equations, differential analysis, and dynamics processes. CONSTANTIN CORDUNEANU, PhD, is Emeritus Professor in the Department of Mathematics at The University of Texas at Arlington, USA. The author of six books and over 200 journal articles, he is currently Associate Editor for seven journals; a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Romanian Academy; and past president of the American Romanian Academy of Arts and Sciences. YIZENG LI, PhD, is Professor in the Department of Mathematics at Tarrant County College, USA. He is a member of the Society for Industrial and Applied Mathematics. MEHRAN MAHDAVI, PhD, is Professor in the Department of Mathematics at Bowie State University, USA. The author of numerous journal articles, he is a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Mathematical Association of America.
Author : Ethelbert N. Chukwu
Publisher : World Scientific
ISBN 13 : 9789810246747
Total Pages : 532 pages
Book Rating : 4.2/5 (467 download)
Download or read book Stability and Time-optimal Control of Hereditary Systems written by Ethelbert N. Chukwu and published by World Scientific. This book was released on 2001 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability and Time-Optimal Control of Hereditary Systems is the mathematical foundation and theory required for studying in depth the stability and optimal control of systems whose history is taken into account. In this edition, the economic application is enlarged, and explored in some depth. The application holds out the hope that full employment and high income growth will be compatible with low prices and low inflation, provided that the control matrix has full rank, i.e., the existing controls are fully effectively used. The book concludes with a new appendix containing complete programs, data, graphs and quantitative results for the US economy.
Author : Themistocles RASSIAS
Publisher : Springer Science & Business Media
ISBN 13 : 940170225X
Total Pages : 221 pages
Book Rating : 4.4/5 (17 download)
Download or read book Functional Equations, Inequalities and Applications written by Themistocles RASSIAS and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics. This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.
Author : Bellman
Publisher : Academic Press
ISBN 13 : 0080955142
Total Pages : 484 pages
Book Rating : 4.0/5 (89 download)
Download or read book Differential-Difference Equations written by Bellman and published by Academic Press. This book was released on 1963-01-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential-Difference Equations
Author : Leonard Weiss
Publisher : Elsevier
ISBN 13 : 1483270114
Total Pages : 622 pages
Book Rating : 4.4/5 (832 download)
Download or read book Ordinary Differential Equations written by Leonard Weiss and published by Elsevier. This book was released on 2014-05-10 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary Differential Equations: 1971 NRL–MRC Conference provides information pertinent to the fundamental aspects of ordinary differential equations. This book covers a variety of topics, including geometric and qualitative theory, analytic theory, functional differential equation, dynamical systems, and algebraic theory. Organized into two parts encompassing 51 chapters, this book begins with an overview of the results on the existence of periodic solutions of a differential equation. This text then describes an index for the isolated invariant sets of a flow on a compact metric space, which contains exactly the information of the Morse index. Other chapters consider the studies of certain classes of equations that can be interpreted as models of biological or economic processes. This book discusses as well the absolute stability of some classes of integro-differential systems. The final chapter deals with first-order differential equations. This book is a valuable resource for mathematicians, graduate students, and research workers.
Author : Lamberto Cesari
Publisher : Academic Press
ISBN 13 : 1483259692
Total Pages : 337 pages
Book Rating : 4.4/5 (832 download)
Download or read book Dynamical Systems written by Lamberto Cesari and published by Academic Press. This book was released on 2014-05-10 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical Systems: An International Symposium, Volume 2 contains the proceedings of the International Symposium on Dynamical Systemsheld at Brown University in Providence, Rhode Island, on August 12-16, 1974. The symposium provided a forum for reviewing the theory of dynamical systems in relation to ordinary and functional differential equations, as well as the influence of this approach and the techniques of ordinary differential equations on research concerning certain types of partial differential equations and evolutionary equations in general. Comprised of six chapters, this volume first examines how the theory of isolating blocks may be applied to the Newtonian planar three-body problem. The reader is then introduced to the separatrix structure for regions attracted to solitary periodic solutions; solitary invariant sets; and singular points and separatrices. Subsequent chapters focus on the equivalence of suspensions and manifolds with cross section; a geometrical approach to classical mechanics; bifurcation theory for odd potential operators; and continuous dependence of fixed points of condensing maps. This monograph will be of interest to students and practitioners in the field of applied mathematics.
Author :
Publisher :
ISBN 13 :
Total Pages : 1336 pages
Book Rating : 4.:/5 (319 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1967 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
