Exponential systems

Xem 1-20 trên 48 kết quả Exponential systems
  • Consider the inverse eigenvalue problem of the Schr¨dinger operator deo fined on a finite interval. We give optimal and almost optimal conditions for a set of eigenvalues to determine the Schr¨dinger operator. These conditions are o simple closedness properties of the exponential system corresponding to the known eigenvalues. The statements contain nearly all former results of this topic. We give also conditions for recovering the Weyl-Titchmarsh m-function from its values m(λn ).

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  • Abstract In this paper we demonstrate how Lyapunov-Krasovskii functionals can be used to obtain exponential bounds for the solutions of time-invariant linear delay systems. Keywords: time delay system, exponential estimate, Lyapunov-Krasovskii functional. The objective of this note is to describe a systematic procedure of constructing quadratic Lyapunov functionals for (exponentially) stable linear delay systems in order to obtain exponential estimates for their solutions.

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  • For diffeomorphisms of smooth compact finite-dimensional manifolds, we consider the problem of how fast the number of periodic points with period n grows as a function of n. In many familiar cases (e.g., Anosov systems) the growth is exponential, but arbitrarily fast growth is possible; in fact, the first author has shown that arbitrarily fast growth is topologically (Baire) generic for C 2 or smoother diffeomorphisms.

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  • In this volume I shall give some guidelines for solving problems in the theories of Fourier series and Systems of Differential Equations and eigenvalue problems. The reader should be aware of that it has never been my intention to write an alternative textbook, since then I would have disposed of the subject in another way. It is, however, my hope that this text can be used as a supplement to the normal textbooks in which one can find all the necessary proofs.

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  • With the advent of powerful computers,the use of mathemmatical models by mathemmaticians,scri-entists,engineers,and researcher has become commonplace.Mathematical models are used for analysis,design,and to predict the behavior of complex These common features provide a unifying framework the systematic and uniform treatment of diverse subject matter which may appear unrelated.

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  • The eleventh edition welcomes the new Millenium. Progress in basic and clinical hepatology remains exponential. Since 1997, the advances have been wideranging, with those in molecular and cellular biology, and in diagnosis and treatment, leading the way. In a world in which information technology gives all too ready access to individual publications, the eleventh edition sets the new within established knowledge and practice.

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  • In general we do not like to wait. But reduction of the waiting time usually requires extra investments. To decide whether or not to invest, it is important to know the e ect of the investment on the waiting time. So we need models and techniques to analyse such situations.In this course we treat a number of elementary queueing models. Attention is paid to methods for the analysis of these models, and also to applications of queueing models.

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  • There is one simple way to exponentially increase the amount of traffic coming to your website and the number of people aware of your product or service: through the use of Google AdWords and related marketing technologies. The Definitive Guide to Google AdWords will walk you through every step needed to maximize your marketing and advertising power. Everything related to the platforms are covered in detail—account setup, campaign creation, reporting, optimization, analytics, ad creation, mobile advertising, and much more.

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  • STABILITY FOR DELAYED GENERALIZED 2D DISCRETE LOGISTIC SYSTEMS CHUAN JUN TIAN AND GUANRONG CHEN Received 28 August 2003 and in revised form 19 February 2004 This paper is concerned with delayed generalized 2D discrete logistic systems of the form xm+1,n = f (m,n,xm,n ,xm,n+1 ,xm−σ,n−τ ), where σ and τ are positive integers, f : N2 × R3 → 0 R is a real function, which contains the logistic map as a special case, and m and n are nonnegative integers, where N0 = {0,1,...} and R = (−∞, ∞). Some sufficient conditions for this system to be stable and exponentially stable...

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  • Research in computer vision has exponentially increased in the last two decades due to the availability of cheap cameras and fast processors. This increase has also been accompanied by a blurring of the boundaries between the different applications of vision, making it truly interdisciplinary. In this book we have attempted to put together state-of-the-art research and developments in segmentation and pattern recognition.

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  • The  nomenclature  for  the  Interagency  List  of  Essential Medical Devices  for  Reproductive  Health  is based on  the existing United Nations Common Coding System  (UNCCS) and  the  UNICEF products database for the classification of products groups.     All products from this list are identified with a generic, short description with a maximum of  50 characters, except for the sutures. The complete technical specifications of the products are  based on the UNICEF standard products.

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  • Since stem cells were first isolated from a human embryo in 1998, interest in the development of a global stem cell market has grown exponentially. Prior to this, while the existence of human embryonic stem cells had long been established, it was thought impossible to isolate them with any degree of success. The 1998 discovery opened up a new avenue of research that subsequently became one of the world’s hottest topics.

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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 Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients

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  • EXPONENTIAL STABILITY OF DYNAMIC EQUATIONS ON TIME SCALES ALLAN C. PETERSON AND YOUSSEF N. RAFFOUL Received 6 July 2004 and in revised form 16 December 2004 We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities on these functions. Several examples are given. 1. Introduction This paper considers the exponential stability of the zero solution of the first-order vector dynamic equation x∆ = f (t,x), t ≥ 0. (1.

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  • E-tribes or virtual communities: whatever one chooses to call them, at least one thing seems assured. With 51 per cent of Internet users using the Web daily, and exponential global growth rates for new users, prodigious growth in the quantity, interests, and influence of virtual communities is guaranteed. Unlikely to replace physical encounters, or information from traditional media, online interactions are becoming an important supplement to social and consumption behavior.

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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 Exponential Stability and Global Attractors for a Thermoelastic Bresse System

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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 Exponential Stability of Time-Switched Two-Subsystem Nonlinear Systems with Application to Intermittent Control

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  • ASYMPTOTIC ESTIMATES AND EXPONENTIAL STABILITY FOR HIGHER-ORDER MONOTONE DIFFERENCE EQUATIONS ´ EDUARDO LIZ AND MIHALY PITUK Received 21 May 2004 Asymptotic estimates are established for higher-order scalar difference equations and inequalities the right-hand sides of which generate a monotone system with respect to the discrete exponential ordering. It is shown that in some cases the exponential estimates can be replaced with a more precise limit relation.

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  • When you complete this chapter you should be able to: Understand the three time horizons and which models apply for each; explain when to use each of the four qualitative models; apply the naive, moving-average, exponential smoothing, and trend methods; compute three measures of forecast accuracy; develop seasonal indices; conduct a regression and correlation analysis; use a tracking signal.

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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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