Dissertation > Excellent graduate degree dissertation topics show

Asymptotic Properties of Several Classes of Nonlinear Differential Equations

Author: WuXiLang
Tutor: YangJianFu;DingHuiSheng
School: Jiangxi Normal University
Course: Applied Mathematics
Keywords: Duffing equations Shunting inhibitory cellular neural networks Liénard equations Dynamical systems Delay Existence Exponential convergence behavior Almost periodic solutions Uniqueness Anti- periodic solutions
CLC: O175.12
Type: Master's thesis
Year: 2010
Downloads: 22
Quote: 0
Read: Download Dissertation

Abstract


In this thesis, we study some important asymptotic properties of several classes of nonlinear differential equations. It consists of four chapters.In chapter 1, the background and history of problems which we discuss in this thesis are briefly addressed. Besides, some definitions and basic results are given in this chapter.In chapter2, we discuss the following nonlinear Duffing equation with a deviating argument:We give some new sufficient conditions for the existence and uniqueness of almost periodic solutions of the above Duffing equation. In addition, in the case ofIn chapter 3, we investigate the following general dynamical systems :which unify some extensively studied shunting inhibitory cellular neural networks with delays. Under some suitable conditions, a new theorem is established to ensure that all the solutions of the dynamical systems converge exponentially to the zero point, which substantially extend and improve some important results in the literature.In chapter 4, we consider the following Liénard-type equation:Sufficient conditions for the existence and uniqueness of anti-periodic solutions of the equation are established .

Related Dissertations

  1. Research on Anti-periodic Solutions of Delayed Cellular Neural Networks without Assuming Global Lipschitz Conditions,TP183
  2. An Exploration of Implementation of Scientific Outlook on Development in Regions,F127
  3. About Initial Boundary Value Problem of the Mixed Type Partial Differential Equation,O175.28
  4. The Solution for a Class of Nonlinear Population Dynamics with Migration Perturbations,O241.82
  5. Uniqueness and Normality of Meromorphic Functions with Sharing Values,O174.52
  6. The Problem of Value Sharing of Meromorphic of Entire Functions,O174.52
  7. Research of Norman Mailer’s Nonfiction Novels,I712
  8. Exponential Stability of Two Class of Stochastic Neural Networks with Mixed Delays,TP183
  9. Periodic Solutions and Asymptotic Behavior for Sector Operator Evolution Equations,O152.7
  10. The Existence of Solutions for Third-order Boundary Value Problems,O175.8
  11. Research on the entire function of two,O174.52
  12. Lotka-Volterra Ecological Systems,O175.2
  13. Initial Value Problems for Fractional Functional Differential Equations,O175.8
  14. Qualitative Analysis on a Class of Predator-prey Systems Possessing Functional Response Function x~(1/2),O175.1
  15. Domain Decomposition Method of Mixed Finite Element,O241.82
  16. Complex Oscillation Theory of Differential Euqations and Uniqueness Theory of Functions,O175
  17. Problems of Estimation and Hypothesis Testing of Parameters in Stochastic Differential Equations,O211.63
  18. The Basic Theory of Stochastic Functional Differential Equations with Infinite Delay,O211.63
  19. The Three-dimensional Expansion of Global Atmospheric Circumfluence and Characteristic Analyze of Atmospheric Vertical Motion,P434
  20. Boundary-Pattern Mathematical Programming Nonlinear Multipole Boundary Element Method,TG333
  21. Study on Influence Mechanism of Customer Participation on Customer Value Creation,F713.55

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Ordinary Differential Equations > Qualitative theory
© 2012 www.DissertationTopic.Net  Mobile