Dissertation > Excellent graduate degree dissertation topics show

Research on the Positive Solutions of BVP and Anti-periodic Solutions for Functional Differential Equations

Author: JiaBaoRui
Tutor: ZhouZongFu
School: Anhui University
Course: Basic mathematics
Keywords: Nonlinear Functional Differential Equations Boundary Value Problems Order Neutral Distributed Delays Anti- periodic solutions Fixed point theory Coincidence degree theory Fractional Positive Solutions
CLC: O175.8
Type: Master's thesis
Year: 2011
Downloads: 49
Quote: 0
Read: Download Dissertation


Differential Equations is abstracted from the problem from the actual description of the mathematical model of the phenomenon of delay , it is widely used in biology , physics, control theory and engineering problems . Consequently, research Functional Differential Equations , issues such as anti- periodic solutions of great significance . Moreover, as the new hotspot , fractional Differential Equations in various fields, also has a wide range of applications , therefore , depth nonlinear Fractional Differential Equation Boundary Value Problems of a wide range of theoretical and practical significance . this paper mainly discusses nonlinear Functional Differential Equations , anti- periodic solutions for problems and fractional Differential Equations Boundary Value problems existence text is divided into four chapters , the main contents as follows : The first chapter introduces the relevant functional differential equation boundary value problems and counter-cyclical fractional differential equations as well as an overview of the development of this major work . chapter studied p-Laplace operator with a third-order non- linear Functional Differential Equations , by means of Avery-Peterson fixed point theorem and some analysis techniques , the presence of multiple positive solutions are given sufficient conditions for the third chapter , the use of coincidence degree theory, a reasoning and analytical skills to discuss a class with Distributed Delays order Neutral Functional Differential anti- existence and uniqueness of periodic solutions for the problem in the problem , the project 's coefficient c (t) depends on t, which in the past did not appear in the literature before. Moreover, the conclusion of this chapter concise, easy to verify that Chapter IV , with the tensile and compression cone fixed point theorem , to explore and nonlinear terms are given in the case of a singular point , three fractional differential equations point boundary value problem on more than one sufficient condition for existence of positive solutions .

Related Dissertations

  1. The Existence of Positive Solutions of a Class of Fourth-order Nonlinear Differential Equations,O175
  2. The Existence of Positive Solutions of a Class of Even Order Nonlinear Differential Equations,O175
  3. Non- local Higher Order Differential Equations Boundary Value Existence,O175.8
  4. About ODE (k, nk) conjugate boundary value problems,O175.8
  5. The Existence of Positive Solution about Impulsive Boundary Value Problems in Banach Space,O175.8
  6. Existence of Solutions for Integer with Integral Boundary Conditions and Fractional Differential Equation,O175.8
  7. Multiple Positive Solutions for a Class of Quasilinear Elliptic Equations with Nonlinear Neumann Boundary Condition,O175.25
  8. The Existence of Positive Solution About Impulsive Boundary Value Problems in Banach Space,O175.8
  9. IRB1400 robot trajectory planning and control,TP242
  10. Oscillatory and Asymptotic Behavior of the Solutions of Second Order Difference Equations,O175.7
  11. Singular Boundary Value Positive Solutions,O175.8
  12. Types of Singular Second Order Boundary Value Problems Existence of Positive Solutions,O175.8
  13. Existence of Solutions for Nonlinear Singular Differential Equations (group) boundary value problems and solvability,O175.8
  14. Positive Solutions for Second Order Functional Differential Equations,O175.8
  15. Existence of positive solutions of nonlinear impulsive differential equations and application,O175.8
  16. Class of nonlinear second order differential equations boundary value problems,O175.8
  17. The existence of types of Nonlinear Boundary Value Problems,O175.8
  18. Banach spaces nonlinear multi-point Boundary Value Problems,O175.8
  19. Positive Solutions of Nonlinear Boundary Value Problems in abstract spaces,O175.8
  20. Exsitence of Positive Solutions for Boundary Value Problem of Some Nonlinear Second-order Difference Equations,O175.8

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