Dissertation > Excellent graduate degree dissertation topics show

Periodic Solutions of Functional Dynamic Equations with Infinite Delay on Time Scales

Author: BiLi
Tutor: FanMeng
School: Northeast Normal University
Course: Applied Mathematics
Keywords: functional dynamic equation time scale periodic solution Krasnoselskii fixed point theorem infinite delay
CLC: O175.15
Type: Master's thesis
Year: 2006
Downloads: 92
Quote: 0
Read: Download Dissertation

Abstract


In this paper, sufficient criteria are established for the existence of periodic solutions of some functional dynamic equations with infinite delays on time scales, which generalize and incorporate as special cases many known results for differential equations and for difference equations when the time scale T is set to be R or Z, respectively. The approach is mainly based on the Krasnoselskii fixed point theorem, which has been extensively applied in studying existence problems in differential equations and difference equations but rarely applied in dynamic equations on time scales. This study shows that one can unify such existence studies in the sense of dynamic equations on general time scales.

Related Dissertations

  1. The Analysis of A Population Model with Nonlinear Birth Rate and Stage- Structure,O242.1
  2. The Existence of Periodic Solutions for Two Kinds of High Order Differential Equations with Deviating Arguments,O175
  3. Research on Qualitative Properties of Solutions for Several Differential Equations,O175
  4. Qualitative Nature of Two Predator-prey System with Time Lags,O175
  5. Stability and Bifurcation Analysis of a Population Model and SIS Model with Delay,O175.13
  6. The Analysis of Hopf Bifurcation for a Kind of Delay Differential Equations,O241.8
  7. Hopf Bifurcation for a Neural Network Differential Equation with Delay and Its Numerical Approximation,O241.5
  8. Some Problems in Basic Theory of Fractional Functional Differential Equations,O175
  9. Nontrivial Periodic Solution of a Class of Nonlinear Functional Differential Equations,O175
  10. Stability and Bifurcation of a Three-Dimension Discrete Neural Network Model,TP183
  11. Periodic Solutions of the Equivlent Hartman-type Problem for p(t)-laplacian Systems,O177
  12. Massera Type Criteria on Time Scales,O175
  13. Periodic Solutions of Predator-Prey System with Holing-N Functional Response on Time Scales,O175
  14. The Application of Wavelet Method in the Problems on the Analysis of Hydrologic Time Series,TV12
  15. Periodic and Subharmonic Solutions for a Class of Second Order Hamiltonian Systems,O175
  16. Existence of periodic solution of Rayleigh equation,O175
  17. Differential Equation to the existence of multiple solutions for,O175
  18. Periodic solution of the system in resonance conditions , etc.,O175
  19. Boundary Value Problem and Periodic Solution for Several Classes of Differential Equations,O175.8
  20. Solvability for Several Kinds of Multi-point Boundary Value Problems of Differential Equations,O175.8
  21. Analysis and Design of Light-weight Material System with Special Dynamics Characteristic,TB383

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Ordinary Differential Equations > Ordinary differential equations in abstract spaces
© 2012 www.DissertationTopic.Net  Mobile