Dissertation > Excellent graduate degree dissertation topics show

Positive Solutions for the nth-order Delay Differential Equations

Author: LuQiuYing
Tutor: ZhuDeMing
School: East China Normal University
Course: Applied Mathematics
Keywords: Positive Solutions N-order nonlinear delay differential system Cone fixed point theorem Boundary value problems Semi-positone problem
CLC: O175
Type: Master's thesis
Year: 2006
Downloads: 25
Quote: 0
Read: Download Dissertation

Abstract


We consider n-order nonlinear delay differential system and the corresponding eigenvalue problem Semipositone existence of positive solutions for the problem , the article's main theorem some of the results of the previous literature , the article's second section , the first gives the preliminaries and several a preliminary theorems , especially for n-order boundary value problems were carefully studied the Green's function , the Green's function is given on two important inequalities , inequalities in these two problems existence of Positive Solutions played a crucial role, the first part of section III discusses the general nonlinear eigenvalue problem , not only given the existence of positive solutions conditions , while the multiple positive solutions carried out in-depth study , the second part of this section, the requirements of the nonlinear term weakened into a regular situation, that does not require a non-negative Semipositone nonlinear term problems , the tools are primarily used to prove the well-known Guo-Krasnoselskii fixed point theorem .

Related Dissertations

  1. Fractional Differential resonance boundary value problems,O175.8
  2. Categories of Second Order Ordinary Differential Equations Existence,O175.8
  3. Existence of Positive Solutions for Elliptic Partial Differential Equations in the Spherical Exterior Domains,O175.25
  4. The Existence of Positive Solutions of a Class of Fourth-order Nonlinear Differential Equations,O175
  5. The Existence of Positive Solutions of a Class of Even Order Nonlinear Differential Equations,O175
  6. Study on a Class of Sturm-Liouville Boudary Value Problems,O175.8
  7. Non- local Higher Order Differential Equations Boundary Value Existence,O175.8
  8. About ODE (k, nk) conjugate boundary value problems,O175.8
  9. Multiple Solutions for Some Semilinear Elliptic Equations and Systems in R~N,O175.25
  10. Delay Differential preprocessing techniques,O175.8
  11. The Existence of Positive Solution about Impulsive Boundary Value Problems in Banach Space,O175.8
  12. Positive Solutions of Nonlinear Boundary Value Problems for Two Kinds of Differential Equations,O175.8
  13. Nontrivial Solutions of Nonlinear Semipositive (k, n-k) Conjuate Boundary Value Problems,O175.8
  14. On Solvability of a Second Order Nonlinear System of Differential Equations,O241.7
  15. Unbounded Positive Solutions of a Second Order Differential Equation,O175
  16. Positive Solutions for Higher Order Nonlinear Differential Existence and Mann -type iterative algorithm,O241.8
  17. The Existence of Uncountably Many Bounded Positive Solutions for a Third Order Nonlinear Neutral Delay Differential Equation,O175
  18. Existence of Solutions for Boundary Value Problems of Several Classes of Second Order Nonlinear Impulsive Differential Equations,O175.8
  19. Existence of Solutions for Integer with Integral Boundary Conditions and Fractional Differential Equation,O175.8
  20. Research on the Positive Solutions of BVP and Anti-periodic Solutions for Functional Differential Equations,O175.8
  21. Two nonlinear partial differential equations ( group ) , some research,O175.29

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