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Global Behavior Of Nonlinear Difference Equations Of Higher Order With Applications


Global Behavior Of Nonlinear Difference Equations Of Higher Order With Applications
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Global Behavior Of Nonlinear Difference Equations Of Higher Order With Applications


Global Behavior Of Nonlinear Difference Equations Of Higher Order With Applications
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Author : V. L. Kocic
language : en
Publisher:
Release Date : 2014-01-15

Global Behavior Of Nonlinear Difference Equations Of Higher Order With Applications written by V. L. Kocic and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Global Behavior Of Nonlinear Difference Equations Of Higher Order With Applications


Global Behavior Of Nonlinear Difference Equations Of Higher Order With Applications
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Author : V.L. Kocic
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Global Behavior Of Nonlinear Difference Equations Of Higher Order With Applications written by V.L. Kocic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


Nonlinear difference equations of order greater than one are of paramount impor tance in applications where the (n + 1)st generation (or state) of the system depends on the previous k generations (or states). Such equations also appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations which model various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our aim in this monograph is to initiate a systematic study of the global behavior of solutions of nonlinear scalar difference equations of order greater than one. Our primary concern is to study the global asymptotic stability of the equilibrium solution. We are also interested in whether the solutions are bounded away from zero and infinity, in the description of the semi cycles of the solutions, and in the existence of periodic solutions. This monograph contains some recent important developments in this area together with some applications to mathematical biology. Our intention is to expose the reader to the frontiers of the subject and to formulate some important open problems that require our immediate attention.



Difference Equations Discrete Dynamical Systems And Applications


Difference Equations Discrete Dynamical Systems And Applications
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Author : Saber Elaydi
language : en
Publisher: Springer
Release Date : 2019-06-29

Difference Equations Discrete Dynamical Systems And Applications written by Saber Elaydi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-29 with Mathematics categories.


The book presents the proceedings of the 23rd International Conference on Difference Equations and Applications, ICDEA 2017, held at the West University of Timișoara, Romania, under the auspices of the International Society of Difference Equations (ISDE), July 24 - 28, 2017. It includes new and significant contributions in the field of difference equations, discrete dynamical systems and their applications in various sciences. Disseminating recent studies and related results and promoting advances, the book appeals to PhD students, researchers, educators and practitioners in the field.



Scientia Magna Vol 2 No 4 2006


Scientia Magna Vol 2 No 4 2006
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Author : Zhang Wenpeng
language : en
Publisher: Infinite Study
Release Date :

Scientia Magna Vol 2 No 4 2006 written by Zhang Wenpeng and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


Papers on Smarandache inversion sequence, global attractivity of a recursive sequence, Smarandache fantastic ideals of Smarandache BCI-algebras, translational hull of superabundant semigroups with semilattice of idempotents, the Universality of some Smarandache loops of Bol-Moufang type, and other similar topics. Contributors: M. Karama, P. Zhang, W. Kandasamy, M. Khoshnevisan, K. Ilanthenral, M. Bencze, H. Ibstedt, W. Zhu, J. Earls, and many others.



Difference And Differential Equations


Difference And Differential Equations
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Author : Saber Elaydi
language : en
Publisher: American Mathematical Soc.
Release Date :

Difference And Differential Equations written by Saber Elaydi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


This volume contains papers from the 7th International Conference on Difference Equations held at Hunan University (Changsa, China), a satellite conference of ICM2002 Beijing. The volume captures the spirit of the meeting and includes peer-reviewed survey papers, research papers, and open problems and conjectures. Articles cover stability, oscillation, chaos, symmetries, boundary value problems and bifurcations for discrete dynamical systems, difference-differential equations, and discretization of continuous systems. The book presents state-of-the-art research in these important areas. It is suitable for graduate students and researchers in difference equations and related topics.



Difference Equations Special Functions And Orthogonal Polynomials Proceedings Of The International Conference


Difference Equations Special Functions And Orthogonal Polynomials Proceedings Of The International Conference
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Author : Jim M Cushing
language : en
Publisher: World Scientific
Release Date : 2007-05-21

Difference Equations Special Functions And Orthogonal Polynomials Proceedings Of The International Conference written by Jim M Cushing and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-21 with Mathematics categories.


This volume contains talks given at a joint meeting of three communities working in the fields of difference equations, special functions and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the meeting but have difference equations as common thread. Articles cover topics in difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries, and integrable difference equations.



Proceedings Of The Sixth International Conference On Difference Equations Augsburg Germany 2001


Proceedings Of The Sixth International Conference On Difference Equations Augsburg Germany 2001
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Author : Bernd Aulbach
language : en
Publisher: CRC Press
Release Date : 2004-06-07

Proceedings Of The Sixth International Conference On Difference Equations Augsburg Germany 2001 written by Bernd Aulbach and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-07 with Mathematics categories.


This volume comprises selected papers presented at the Sixth International Conference on Difference Equations which was held at Augsburg, Germany. It covers all themes in the fields of discrete dynamical systems and ordinary and partial difference equations, classical and contemporary, theoretical and applied. It provides a useful reference text for graduates and researchers working in this area of mathematics.



Lyapunov Functionals And Stability Of Stochastic Difference Equations


Lyapunov Functionals And Stability Of Stochastic Difference Equations
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Author : Leonid Shaikhet
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-02

Lyapunov Functionals And Stability Of Stochastic Difference Equations written by Leonid Shaikhet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Technology & Engineering categories.


Hereditary systems (or systems with either delay or after-effects) are widely used to model processes in physics, mechanics, control, economics and biology. An important element in their study is their stability. Stability conditions for difference equations with delay can be obtained using a Lyapunov functional. Lyapunov Functionals and Stability of Stochastic Difference Equations describes a general method of Lyapunov functional construction to investigate the stability of discrete- and continuous-time stochastic Volterra difference equations. The method allows the investigation of the degree to which the stability properties of differential equations are preserved in their difference analogues. The text is self-contained, beginning with basic definitions and the mathematical fundamentals of Lyapunov functional construction and moving on from particular to general stability results for stochastic difference equations with constant coefficients. Results are then discussed for stochastic difference equations of linear, nonlinear, delayed, discrete and continuous types. Examples are drawn from a variety of physical systems including inverted pendulum control, study of epidemic development, Nicholson’s blowflies equation and predator–prey relationships. Lyapunov Functionals and Stability of Stochastic Difference Equations is primarily addressed to experts in stability theory but will also be of use in the work of pure and computational mathematicians and researchers using the ideas of optimal control to study economic, mechanical and biological systems.



Advances In Difference Equations


Advances In Difference Equations
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Author : Saber N. Elaydi
language : en
Publisher: CRC Press
Release Date : 1998-01-29

Advances In Difference Equations written by Saber N. Elaydi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-29 with Mathematics categories.


The recent surge in research activity in difference equations and applications has been driven by the wide applicability of discrete models to such diverse fields as biology, engineering, physics, economics, chemistry, and psychology. The 68 papers that make up this book were presented by an international group of experts at the Second International Conference on Difference Equations, held in Veszprém, Hungary, in August, 1995. Featuring contributions on such topics as orthogonal polynomials, control theory, asymptotic behavior of solutions, stability theory, special functions, numerical analysis, oscillation theory, models of vibrating string, models of chemical reactions, discrete competition systems, the Liouville-Green (WKB) method, and chaotic phenomena, this volume offers a comprehensive review of the state of the art in this exciting field.



Topics In Functional Differential And Difference Equations


Topics In Functional Differential And Difference Equations
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Author : Teresa Faria
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Topics In Functional Differential And Difference Equations written by Teresa Faria and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.


This volume contains papers written by participants at the Conference on Functional Differential and Difference Equations held at the Instituto Superior Técnico in Lisbon, Portugal. The conference brought together mathematicians working in a wide range of topics, including qualitative properties of solutions, bifurcation and stability theory, oscillatory behavior, control theory and feedback systems, biological models, state-dependent delay equations, Lyapunov methods, etc. Articles are written by leading experts in the field. A comprehensive overview is given of these active areas of current research. The book will be of interest to both theoretical and applied mathematical scientists.