Download or read book Generalized Ordinary Differential Equations Not Absolutely Continuous Solutions written by Jaroslav Kurzweil and published by World Scientific. This book was released on 2012-01-27 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is suitable in situations where fast oscillations occur.

Download or read book The Non uniform Riemann Approach To Stochastic Integration written by Varayu Boonpogkrong and published by World Scientific. This book was released on 2024-09-17 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book that presents the theory of stochastic integral using the generalized Riemann approach. Readers who are familiar with undergraduate calculus and want to have an easy access to the theory of stochastic integral will find most of this book pleasantly readable, especially the first four chapters. The references to the theory of classical stochastic integral and stochastic processes are also included for the convenience of readers who are familiar with the measure theoretic approach.

Download or read book Kurzweil stieltjes Integral Theory And Applications written by Giselle Antunes Monteiro and published by World Scientific. This book was released on 2018-09-26 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is primarily devoted to the Kurzweil-Stieltjes integral and its applications in functional analysis, theory of distributions, generalized elementary functions, as well as various kinds of generalized differential equations, including dynamic equations on time scales. It continues the research that was paved out by some of the previous volumes in the Series in Real Analysis. Moreover, it presents results in a thoroughly updated form and, simultaneously, it is written in a widely understandable way, so that it can be used as a textbook for advanced university or PhD courses covering the theory of integration or differential equations.

Download or read book Nonabsolute Integration On Measure Spaces written by Wee Leng Ng and published by World Scientific. This book was released on 2017-10-20 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock-Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers.It is widely acknowledged that the biggest difficulty in defining a Henstock-Kurzweil integral beyond Euclidean spaces is the definition of a set of measurable sets which will play the role of 'intervals' in the abstract setting. In this book the author shows a creative and innovative way of defining 'intervals' in measure spaces, and prove many interesting and important results including the well-known Radon-Nikodým theorem.

Download or read book International Conference on Frontiers of Energy Environmental Materials and Civil Engineering FEEMCE 2013 written by Roger D. W. Zheng and published by DEStech Publications, Inc. This book was released on 2013-12-26 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of FEEMCE 2013 is to provide a platform for researchers, engineers, academicians as well as industrial professionals from all over the world to present their research results and development activities in Energy, Environmental Materials and Civil Engineering. This conference provides opportunities for the delegates to exchange new ideas and experiences face to face, to establish business or research relations and to find global partners for future collaboration.

Download or read book Proceedings of the Conference on Differential Difference Equations and Applications written by Ravi P. Agarwal and published by Hindawi Publishing Corporation. This book was released on 2006 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book From Digital Twins to Digital Selves and Beyond written by Franz Barachini and published by Springer Nature. This book was released on 2022 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book aims at deepening the understanding of the relation between cyber-physical systems (CPSs) as socio-technical systems and their digital representations with intertwined artificial intelligence (AI). The authors describe why it is crucial for digital selves to be able to develop emotional behavior and why a humanity-inspired AI is necessary so that humans and humanoids can coexist. The introductory chapter describes major milestones in computer science which form the basis for the implementation of digital twins and digital selves. The subsequent Part I then lays the foundation to develop a socio-technical understanding of the nature of digital twins as representations and trans-human development objects. Following the conceptual understanding of digital twins and how they could be engineered according to cognitive and organizational structures, Part II forms the groundwork for understanding social behavior and its modeling. It discusses various perception-based socio-emotional approaches before sketching behavior-relevant models and their simulation capabilities. In particular, it is shown how emotions can substantially influence the collective behavior of artificial actors. Part III eventually presents a symbiosis showing under which preconditions digital selves might construct and produce digital twins as integrated design elements in trans-human ecosystems. The chapters in this part are dedicated to opportunities and modes of co-creating reflective socio-trans-human systems based on digital twin models, exploring mutual control and continuous development. The final epilog is congenitally speculative in its nature by presenting thoughts on future developments of artificial life in computational substrates. The book is written for researchers and professionals in areas like cyber-physical systems, robotics, social simulation or systems engineering, interested to take a speculative look into the future of digital twins and autonomous agents. It also touches upon philosophical aspects of digital twins, digital selves and humanoids.

Download or read book Introduction to the Theory of Functional Differential Equations written by N. V. Azbelev and published by Hindawi Publishing Corporation. This book was released on 2007 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Indiana University Mathematics Journal written by and published by . This book was released on 1973 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bulletin new Series of the American Mathematical Society written by and published by . This book was released on 1985 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Differential Equations and Mathematical Modelling written by Aleksandr Mikhaĭlovich Blokhin and published by Nova Biomedical Books. This book was released on 2002 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents translations of selected Russian papers on the theoretical aspects of differential equations and applications of mathematical methods to modelling. These papers have been selected for their high scientific standards, innovative approaches, and topical interests.

Download or read book Russian Mathematical Surveys written by and published by . This book was released on 1993 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stability Applied Analysis of Continuous Media written by and published by . This book was released on 1994 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Download or read book Ordinary Differential Equations With Applications 2nd Edition written by Sze-bi Hsu and published by World Scientific Publishing Company. This book was released on 2013-06-07 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook and as a valuable resource for researchers.This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.