Systems of nonlinear equations

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  • The fifth edition of this classic book continues its excellence in teaching numerical analysis and techniques. Interesting and timely applications motivate an understanding of methods and analysis of results. Suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of all aspects of all numerical analysis.

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: ENTIRE POSITIVE SOLUTION TO THE SYSTEM OF NONLINEAR ELLIPTIC EQUATIONS

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  • Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : Solving systems of nonlinear matrix equations involving Lipshitzian mappings

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping

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  • It has been a great pleasure for me to have prepared the latest edition of my book on nonlinear optics. My intrigue in the subject matter of this book is as strong as it was when the first edition was published in 1992. The principal changes present in the third edition are as follows: (1) The book has been entirely rewritten using the SI system of units. I personally prefer the elegance of the gaussian system of units, which was used in the first two editions, but I realize that most readers would prefer the SI system, and the change was made for this reason. (2) In...

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  • Computers are one of the most important tools in any field of science and especially in physics. A student in an undergraduate lab will appreciate the help of a computer in calculating a result from a series of measurements. The more advanced researcher will use them for tasks like simulating an experiment, or solving complex systems of equations. Physics is deeply connected to mathematics and requires a lot of calculational skills. If one is only interested in a conceptual understanding of the field, or an estimate of the outcome of an experiment, simple calculus will probably suffice.

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations

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  • GLOBAL ATTRACTOR OF COUPLED DIFFERENCE EQUATIONS AND APPLICATIONS TO LOTKA-VOLTERRA SYSTEMS C. V. PAO Received 22 April 2004 This paper is concerned with a coupled system of nonlinear difference equations which is a discrete approximation of a class of nonlinear differential systems with time delays. The aim of the paper is to show the existence and uniqueness of a positive solution and to investigate the asymptotic behavior of the positive solution.

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  • Lecture "Fundamentals of control systems - Chapter 2: Mathematical models of continuous control systems" presentation of content: Presentation of content, transfer function, block diagram algebra, signal flow diagram, state space equation, linearized models of nonlinear systems.

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  • POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DISCRETE SYSTEMS AND POPULATION MODELS YOUSSEF N. RAFFOUL AND CHRISTOPHER C. TISDELL Received 29 March 2004 and in revised form 23 August 2004 We apply a cone-theoretic fixed point theorem to study the existence of positive periodic solutions of the nonlinear system of functional difference equations x(n + 1) = A(n)x(n) + f (n,xn ). 1. Introduction Let R denote the real numbers, Z the integers, Z− the negative integers, and Z+ the nonnegative integers.

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  • Changing time, timely change, change creating time, time measuring changeÐthe themes of this book are change and time in various per- mutations and combinations. The book also deals with nonlinearity, chaos, randomness, and stochastic models, the use of computers to study complicated systems of di¨erential equations, systems theory, complemen- tarity, the importance of formal models, methods from physics and mathe- matics for the analysis of cognitive systems, and interdisciplinarity, among other topics.

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  • Computational Physics is now a multidisciplinary line of research. A long time ago, it was not like that, computers were used by physicists only in order to solve classical problems resistant to the analytical approach: One is able to model the problem at hands through, say, a set of coupled differential equations, but the analytical solution for these equations is not available. The solace is the numerical solution, and the old branch of Computational Physics consists in providing fast and precise numerical methods to be applied to these cases....

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  • In this paper we consider the upper (lower) - stability of Lyapunov exponents of linear differential equations in Rn . Sufficient conditions for the upper - stability of maximal exponent of linear systems under linear perturbations are given. The obtained results are extended to the system with nonlinear perturbations.

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  • Wavelets in Nonlinear Semiconductor Devices Semiconductor device behavior can be described by a system of coupled partial differential equations (PDEs) with associated boundary conditions, requiring the conservation of charge and energy. In physics one is more interested in the quantities of charge concentration, average velocity, and mean energy, for example. From an engineering standpoint, potential, fields, current, and I -V curves are the desired parameters.

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  • Hindawi Publishing Corporation Advances in Difference Equations Volume 2011, Article ID 190475, 11 pages doi:10.1155/2011/190475 Research Article Numerical Solutions of a Fractional Predator-Prey System Yanqin Liu1 and Baogui Xin2, 3 1 2 Department of Mathematics, Dezhou University, Dezhou 253023, China Nonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 30072, China 3 School of Economics and Management, Shandong University of Science and Technology, Qingdao 266510, China Correspondence should be addressed to Yanqin Liu, yqlin8801@yahoo.

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  • Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 494607, 14 pages doi:10.1155/2010/494607 Research Article Riccati Equations and Delay-Dependent BIBO Stabilization of Stochastic Systems with Mixed Delays and Nonlinear Perturbations Xia Zhou and Shouming Zhong School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China Correspondence should be addressed to Xia Zhou, Received 21 August 2010; Accepted 9 December 2010 Academic Editor: T. Bhaskar Copyright q 2010 X.

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  • This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrodinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology.

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