Dissertation > Excellent graduate degree dissertation topics show

The Existence of Periodic and Subharmonic Solutions of Several Classes of Higher Order Difference Equations

Author: HuRongZuo
Tutor: ZhouZhan
School: Hunan University
Course: Applied Mathematics
Keywords: Higher order difference equation Periodic solution Subharmonic solution Critical point Link
CLC: O175.7
Type: Master's thesis
Year: 2005
Downloads: 60
Quote: 0
Read: Download Dissertation

Abstract


In the last decade, nonlinear difference equation theory has been widely applied in the discrete models of computer science, economy, neutral net, ecology and control theory. There has been much progress on the qualitative properties of difference equations, which include results on stability and attractivity, results on oscillation and other topics. However, results on periodic solutions of difference equations are very scare in the literature because of lack of necessary methods. The main purpose of this paper is to study the existence of periodic solutions of some higher order difference equation (systems) by virtue of the critical theory.Based on the second order models, we consider some higher order difference models. We mainly make much investigation for the existence of periodic and sub-harmonic solutions of these new models. This thesis is composed of three chapters.In the first chapter, we state the existed related work and the origin of the problems we discuss. And the main works of this paper are also simply introduced.In the second chapter, at first we consider a higher-order difference system. By constructing suitable variational structure and using the linking theory and the maintain theory, we obtain new sufficient conditions for the existence of periodic solutions of this system. Later we still consider a higher order superlinear difference equation. The existence of periodic solutions of this equation is established by using linking theory. A series of new are acquaired in it. And some of them improve or extend the related resultes in the literatures.The purpose of the third chapter is to study the existence of periodic and sub-harmonic solutions of a higher order discrete system with delays. By constructing suitable variational structure and using the the maintain theory, we obtain some new criteria which are easily checked.

Related Dissertations

  1. Modeling Internet Link Delay Based on Measurement,TP393.4
  2. Foreign Students of Errors Problems Between Paragraphs,H195
  3. Optical Carried Microwave/Millimeter-wave Transmission Technology,TN015
  4. Implantation of Mesenchymal Stem Cells (MSCs) Carried by LINK-N/RADA-16 to the Intervertebral Disc : A Study to Repair the Disc,R687.3
  5. Internet phone service quality assurance mechanism,TP393.02
  6. Computer virus detection method,TP309.5
  7. EPA and reliability of the wireless link quality assessment mechanism of maintenance,TP273
  8. Design and implementation of the DSRC communication protocols based on embedded Linux,TN915.04
  9. Underactuated three-link robot control strategy,TP242
  10. Simulation on Autonomous Orbit Determination Based on IGS,P228.4
  11. Research on the Method of Multi-Source Spatial Data Integration,P208
  12. Asymptotic Behavior for Some Kinds of Functional Differential Equations,O175.12
  13. Existence of periodic solution of second order impulsive differential equations,O175
  14. Analysis of Arm Body and Study on Properties of Electro-Hydraulic System for 80T Slag Pot Carrier,TF341.4
  15. Link Chinese and Western Medicine Treatment of Children with Nephrotic Syndrome Evaluation of the Efficacy and Quality of Life,R726.9
  16. Coherence Study of the Old Man and the Sea and Its Two Chinese Versions,I046
  17. The Study on Transitional Problems between Ideological and Moral Course of Secondary School and Ideological and Political Lesson of Senior High School,G633.2
  18. Research on Routing Optimization Issues Based on Traffic Balancing,TN915.02
  19. Shanghai Railway fixed ring tones engineering research and implementation,TN916
  20. Applications of Critical Point Theory in Impulsive Differential Equations,O175
  21. The Problems of Periodic Pollution about Two Kinds of Functional Differential Equation,O175

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