Implicit dynamic equations

The dissertation is divided into four chapters: Chapter 1 - Preliminaries; Chapter 2 - Lyapunov exponents for dynamic equations; Chapter 3 - Bohl exponents for implicit dynamic equations; Chapter 4 - Stability radius for implicit dynamic equations.

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This paper studies the robust stability of implicit dynamic equations on time scales, which is a general form of differential algebraic equations and implicit difference equations. The paper discusses the reservation of exponential stability of these equations under small Lipschitz perturbations.

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Our estimation framework can be thought of as a modified version of the traditional EKC framework familiar to economists. The modifications are twofold. First, we do not use emissions per capita as our dependent variable, but use total emissions and include population size as a further explanatory variable. The traditional EKC framework implicitly assumes a population elasticity of one (i.e., population is only a scale factor), which is of course only one possibility and may conflict with reality. Instead, our aim is to estimate this elasticity.

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ON THE SOLVABILITY OF INITIAL-VALUE PROBLEMS FOR NONLINEAR IMPLICIT DIFFERENCE EQUATIONS PHAM KY ANH AND HA THI NGOC YEN Received 18 February 2004 Our aim is twofold. First, we propose a natural definition of index for linear nonautonomous implicit difference equations, which is similar to that of linear differentialalgebraic equations. Then we extend this index notion to a class of nonlinear implicit difference equations and prove some existence theorems for their initial-value problems. 1.

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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 Lyapunov Stability of Quasilinear Implicit Dynamic Equations on Time Scales

27p sting05 09-02-2012 53 6   Download